Cheung-Chieh Ku

National Kaohsiung University of Science and Technology (NKUST) | NKUST

This paper deals with the problem of robust decentralized control of discrete-time nonlinear interconnected descriptor systems (IDS) under the influence of external disturbances. First, we utilize the Takagi–Sugeno fuzzy model (TSFM) to represent discrete-time nonlinear IDS. For controller design, a proportional-derivative (PD) feedback strategy is...

A Fuzzy Sliding Mode (FSM) tracking approach is proposed via Interval Type-2 (IT-2) Takagi-Sugeno Fuzzy Model (T-SFM) to complete Formation and Containment (F-and-C) tasks for Nonlinear Multi-Agent Systems (NMASs) with uncertainties and disturbances. Using Imperfect Premise Matching (IPM) approach, the IT-2 F-and-C Fuzzy Controllers (FCs) are desig...

This study addresses the control problem of a nonlinear large-scale descriptor system (LSDS) through the use of a decentralized proportional-plus-derivative state feedback fuzzy (DPDF) control strategy. The Takagi-Sugeno (T-S) fuzzy modeling technique, which is widely used by researchers, is used to describe the nonlinear LSDS as a set of linear su...

This paper investigates the Static Output (SO) control issue of the disturbed nonlinear stochastic system, which achieves passivity. Through the application of fuzzy sets and the stochastic differential equation, a Takagi–Sugeno (T-S) fuzzy model with the terms of multiplicative noise and external disturbance can be constructed to describe the cons...

This paper proposes a decentralized robust constrained cost fuzzy controller (DRCCFC) design for nonlinear descriptor interconnected systems (DIS) with uncertainties. The considered nonlinear DIS is modeled using Takagi–Sugeno fuzzy model (T-S FM) with fuzzy rules and strong interconnections. To derive sufficient stability conditions, the quadratic...

This paper discusses a passive control issue for Nonlinear Time-Varying (NTV) systems subject to stability and attenuation performance. Based on the modeling approaches of Takagi-Sugeno (T-S) fuzzy model and Linear Parameter-Varying (LPV) model, a Parameter-Dependent Polynomial Fuzzy (PDPF) model is constructed to represent NTV systems. According t...

This paper discusses a passive control issue for Nonlinear Time-Varying (NTV) systems subject to stability and attenuation performance. Based on the modeling approaches of Takagi-Sugeno (T-S) fuzzy model and the Linear Parameter-Varying (LPV) model, a Parameter-Dependent Polynomial Fuzzy (PDPF) model is constructed to represent the NTV systems. Acc...

This paper discusses an Event-Triggered (ET) control of nonlinear system with time-varying parameters. Based on the modeling technology, polynomial Takagi–Sugeno (T–S) fuzzy model is applied to represent the nonlinearity. By virtue of Linear Parameter Variation (LPV) model, the parameter depended on time can be modeled by combining the weighting fu...

In this paper, a fuzzy control issue of the nonlinear inverted pendulum system is discussed via Sum-Of-Square (SOS) technology. For describing the system, a Parameter-Dependent Polynomial Fuzzy (PDPF) model is constructed by combining Takagi–Sugeno (T–S) fuzzy model, polynomial representation and Linear Parameter Varying (LPV) description. Based on...

This paper investigates the switching on switching rule and sampling input to guarantee (Q,S,R)-γ-dissipative and H2 performances for switched systems with mixed time delays. Synchronous switching can be used to overcome the difficulty in implementation of real-time switching for signals and sampling. The design of sampling input under arbitrary sw...

This paper discusses an observer-based control problem for uncertain Takagi–Sugeno Fuzzy Singular Systems (T-SFSS) subject to passivity performance constraints. Through the Parallel Distributed Compensation (PDC) approach and the Proportional Derivative (PD) control scheme, an observer-based fuzzy controller is constructed to achieve the stability...

This paper investigates a robust observer-based control problem for uncertain nonlinear singular systems. Based on the modeling approach, the system is described by Takagi–Sugeno (T–S) fuzzy model such that the linear theories can be applied to discuss the problem. To guarantee the regularity and impulse-free property, proportional derivative (PD)...

An interval type-2 (IT-2) fuzzy control design method is developed to solve the formation and containment problem of nonlinear multi-boiler systems. In most practical industrial systems such as airplanes, vessels, and power plants, the boiler system often exists as more than one piece of equipment. An efficient control theory based on the leader-fo...

This paper presents a decentralized control problem for stabilizing the nonlinear large-scale descriptor (LSD) systems that use the proportional-plus-derivative state (PD) feedback scheme. The descriptor systems have a great focus on the research because they can contain more physical characteristics than standard state-space systems. At first, eac...

Abstract An H∞ observer‐based control problem of delayed Linear Parameter Varying (LPV) stochastic system is addressed in this paper. In the LPV stochastic system, stochastic behaviors and external disturbance in real environment are respectively described by stochastic difference function. Furthermore, the delay effects on state and control input...

A novel delay-dependent stability criterion for Takagi-Sugeno (T-S) fuzzy systems with multiplicative noise is addressed in this paper subject to passivity performance. The general case of interval time-varying delay is considered for the practical control issue. For the criterion, an integral Lyapunov-Krasovskii function is proposed to derive some...

Considering some unmeasurable states, a fuzzy static output control problem of nonlinear stochastic systems is discussed in this paper. Based on a modelling approach, a Takagi–Sugeno (T–S) fuzzy system, constructed by a family of stochastic differential equations and membership functions, is applied to represent nonlinear stochastic systems. Parall...

This study investigates the issue of stability analysis and controller synthesis for nonlinear singular systems. Via applying a fuzzy modeling approach, the nonlinear singular system is expressed by a Takagi-Sugeno (T-S) fuzzy model composed of several linear subsystems. Furthermore, the parallel distributed compensation fuzzy controller is designe...

This article addresses a robust control problem of time‐varying stochastic systems with time‐delays. Through Linear Parameter Varying (LPV) modeling approach, the time‐varying parameters can be described via the convex combination. Therefore, the LPV stochastic system is interpreted by a weighting function and multiplicative noised linear systems....

This paper addresses a pole‐assignment control problem for discrete‐time linear parameter varying (LPV) systems. Based on LPV modeling approach, time‐varying systems can be mathematically described via combining several linear systems and a specific weighting function. For the LPV systems, gain‐scheduled (GS) control scheme is applied to deal with...

A relaxed observer-based control problem of the disturbed Linear Parameter Varying (LPV) stochastic systems is addressed in this paper. For the control problem, some sufficient conditions are derived via a Lyapunov function whose positive definite matrix is not required as the diagonal case. Besides, a general H∞ performance index is proposed to co...

This paper addresses an observer‐based control problem of Linear Parameter Varying (LPV) stochastic systems. Based on the modeling approaches, the LPV stochastic systems can be represented by a set of linear systems with multiplicative noise term. To solve the observer‐based control problem, a less conservative stability criterion is developed via...

The aim of this paper is to discuss a relaxed observer-based control problem of multiplicative noised Linear Parameter Varying (LPV) systems with unmeasurable states. For discussing the problem, positive definite matrices without neglecting any element are employed to construct a novel parameter-dependent Lyapunov function. Based on the Lyapunov fu...

A robust delay-dependent stability criterion for discrete-time uncertain stochastic systems is proposed to achieve asymptotical stability and H∞ performance in this paper. Based on modeling approaches, Linear Parameter Varying (LPV) system with multiplicative noise term is built to represent uncertain stochastic systems. Moreover, state and input d...

This paper proposes a passive fuzzy controller design methodology for stabilization of the nonlinear lift feedback fin stabilizer system of a ship. The proposed design approach is developed based on multiplicative noised Takagi-Sugeno fuzzy model and parallel distributed compensation control technique. Applying the Itô’s formula and the sense of me...

This paper investigates a mixed H2/Passivity performance control problem of uncertain stochastic systems. Based on Itô stochastic equation, the considered system is described by a linear difference equation with multiplicative noise term. To minimize output energy and guarantee asymptotical stability, the H2 scheme is employed. Moreover, passivity...

A novel sliding mode fuzzy controller design method is investigated in this paper for uncertain stochastic nonlinear systems described by the Takagi–Sugeno fuzzy model. Applying integral sliding control scheme, a reaching controller is developed such that the trajectory of the system is approximated to the assigned sliding surface to guarantee robu...

A novel sliding mode fuzzy control problem of nonlinear stochastic systems is discussed subject to pole assignment and multiple performance requirements via Takagi–Sugeno fuzzy model approach in this paper. The requirements considered in this paper include output variance constraint, individual state variance constraint, while all poles are assigne...

In this paper, a stabilization problem for the discrete nonlinear system with external disturbance, multiplicative noises and multiple constraints has been discussed in accordance with the definition of Lyapunov stability. Based on fuzzy modeling approach, the overall fuzzy model of a nonlinear plant is transformed into a class of linear systems. A...

This paper investigates a delay-dependent robust control problem of discrete-time uncertain stochastic systems with delays. The uncertainty considered in this paper is time-varying but norm-bounded, and the delays are considered as interval time-varying case for both state and input. According to considerations of uncertainty, stochastic behavior a...

A mixed performance control problem of discrete-Time linear stochastic systems is discussed and investigated subject to H2 and passivity performances in this paper. Based on Itô modeling approach, stochastic systems can be represented as deterministic difference equation with multiplicative noise term. For the stochastic systems, H2 minimization pr...

In this paper, a performance constrained fuzzy controller design is investigated for the nonlinear uncertain discrete-time ship steering system with complex noises. The performance constraints considered in this paper include individual state variance constraint and passivity constraint. The nonlinear discrete-time ship steering system considered i...

In this paper, a fuzzy controller design problem is considered for the discrete-time stochastic Takagi-Sugeno fuzzy systems. The main purpose of this paper is to provide a less conservative fuzzy controller design method for the discretetime nonlinear stochastic systems, which are modeled by the T-S fuzzy models. Based on the concept of imperfect p...

This paper discusses a robust control problem of uncertain drum-boiler system subject to H2 and passivity performances. The main aims of H2 control scheme are to minimize output energy and guarantee robust asymptotical stability. Besides, passivity theory is applied to constrain effect of external disturbance on the system. Based on Lyapunov functi...

By combining with sliding mode control and fuzzy control, this paper proposes a mixed fuzzy controller to guarantee the stabilization of discrete nonlinear systems with parametric uncertainties and bilinear consequent part, which are represented by the Takagi-Sugeno fuzzy systems. Firstly, the sliding surface is defined and the hitting controller i...

The aim of this paper is to propose observer-based control methods for continuous-time uncertain ship autopilot stochastic system. In order to characterize uncertainty and stochastic behavior, Linear Parameter Varying (LPV) modeling approach and multiplicative noise term are applied to represent the considered system. And, Gain-Scheduled (GS) contr...

A multiple performance constrained sliding mode fuzzy control problem is investigated in this paper for continuous-time stochastic nonlinear systems. The stability constraint, passivity constraint and individual state variance constraint are simultaneously considered in this paper. By combining sliding mode control, variance constrained control and...

The mixed performance control problem of drum-boiler systems is discussed and investigated in this paper, subject to H2 and passivity performances. In order to minimize output energy and guarantee asymptotical stability, an H2 control scheme is employed to solve the stability problem of system. Passivity theory is applied to achieve disturbance att...

This study discusses the controller synthesis of linear parameter varying (LPV) stochastic systems. In the description of this study, the multiplicative noise term is employed to represent stochastic behaviors of the system. For the issue of this study, two cases of Lyapunov function are employed. Through the Lyapunov functions and Itô’s formula, t...

A robust control problem for discrete-time uncertain stochastic systems is discussed via gain-scheduled control scheme subject to H ∞ attenuation performance. Applying Linear Parameter Varying (LPV) modeling approach and stochastic difference equation, the uncertain stochastic systems can be described by combining time-varying weighting function...

In this paper, two technologies to design gain-scheduled controller are proposed for discretetime Linear Parameter Varying (LPV) systems with multiplicative noises. In the considered systems, the time-varying parameters are proposed to describe the uncertainties. And, the added multiplicative noise term is applied to describe the stochastic behavio...

In this study, a novel multi-objective sliding mode fuzzy control technique is presented for a class of discrete-time non-linear stochastic systems that are represented by Takagi-Sugeno (T-S) fuzzy models. Subject to variance and passivity constraints, parallel distributed compensation based sliding mode fuzzy control approach is investigated for t...

In this paper, a gain-scheduled controller design method is proposed for linear parameter varying (LPV) stochastic systems subject to H∞ performance constraint. Applying the stochastic differential equation, the stochastic behaviors of system are described via multiplicative noise terms. Employing the gain-scheduled design technique, the stabilizat...

This paper deals with the mixed H2/passivity performance controller design problem for truck-trailer stochastic system. Based on the Itô stochastic equation, the stochastic behavior of the system can be described by multiplicative noise. Using the H2 control scheme, the output energy of the system is minimized under initial conditions. Moreover, th...

This paper provides the criterion for discussing stability analysis and synthesis of a class of complex nonlinear systems represented by Takagi–Sugeno fuzzy models with multiplicative noise. In the consequent part of the T–S fuzzy models, the Itô’s stochastic differential equations are introduced to represent the linear subsystems with multiplicati...

Purpose of this paper is to propose a method of gain-scheduled controller design for uncertain ship autopilot servo stochastic system. The Linear Parameter Varying (LPV) system, which is evolved from uncertainty linear system, is presented on characterizing uncertain time variations of parameters for the considered system. Moreover, the stochastic...

The passive fuzzy control problem is studied in this paper via line-integral fuzzy Lyapunov function for nonlinear ship drum-boiler systems with multiplicative noises. The Takagi-Sugeno (T-S) fuzzy model is employed to represent the nonlinearities of the multiplicative noised nonlinear ship drum-boiler systems. For stability analysis and synthesis,...

This paper develops a fuzzy controller design method via estimated state feedback scheme for discrete-time nonlinear stochastic time-delay systems which are presented by Takagi-Sugeno fuzzy model with multiplicative noises. The proposed design method is accomplished by the concept of parallel distributed compensation. Using the Lyapunov-Krasovskii...

The control scheme and passivity theory are applied to investigate the stability criterion of continuous-time linear stochastic system subject to mixed performance. Based on the stochastic differential equation, the stochastic behaviors can be described as multiplicative noise terms. For the considered system, the control scheme is applied to deal...

The attitude control problem of satellite system with multiplicative noise is researched and investigated in this paper. In order to time-varying parameters in the satellite system, the LPV system is employed for describing the uncertainties of the satellite system. And, the multiplicative noise is applied to represent the stochastic behaviors of t...

This paper discusses the problem of actuator saturation constrained fuzzy controller design for the nonlinear stochastic continuous-time systems with external disturbances. By employing the Takagi-Sugeno fuzzy modeling approach, the nonlinear stochastic system is described by several sub-linear systems and corresponding membership functions. The su...

This paper studies the model based fault tolerant tracking control problem for continuous-time nonlinear systems that are represented by the Takagi-Sugeno fuzzy models with multiplicative noises. The multiplicative noise terms are introduced in the consequent part of the Takagi-Sugeno fuzzy system to represent the stochastic behaviors. The faults c...

El objetivo del trabajo fue cuantificar las emisiones de metano (CH4) entérico de bovinos Bos indicus confinados en cámaras de respiración como un método para cuantificar las emisiones en rumiantes.

El objetivo del trabajo fue revisar los principales factores que están incentivando la promoción de los sistemas silvopastoriles (SSP) en Latino América; identificando los principales retos que son necesarios atender para su adopción social ante el escenario de cambio climático y sus respuestas adaptativas.

The mixed controller design problem of Dynamic Positioning Systems for Ships (DPSS) is discussed in this paper. Based on the H 2 control scheme, passivity theory and Lyapunov function, the sufficient conditions are derived into Linear Matrix Inequality (LMI) problems which can be solved by convex optimization algorithm. Therefore, the mixed perform...

This article presents an estimated state feedback fuzzy controller design method for uncertain passive discrete-time nonlinear stochastic systems with multiplicative noises. The nonlinear stochastic systems considered in this article are represented by Takagi–Sugeno (T–S) fuzzy models. For describing stochastic behaviors, stochastic differential eq...

This paper investigates a fuzzy controller design method for discrete-time nonlinear stochastic time-delay systems which are presented by the Takagi-Sugeno (T-S) fuzzy model with multiplicative noises. Utilizing the proposed design method, the fuzzy controller can be carried out via not only state feedback scheme but also output feedback scheme. Bo...

This paper deals with the fuzzy controller design problem for discrete-time Takagi-Sugeno (T-S) fuzzy systems with multiplicative noises. Using the Lyapunov stability theory and Itô formula, the sufficient conditions are derived to guarantee the stability of the closed-loop nonlinear stochastic systems subject to actuator saturation. Based on the P...

The passive fuzzy control for discrete-time uncertain Takagi-Sugeno (T-S) fuzzy models with multiplicative noises and time delay is investigated subject to robust asymptotical stability. Applying Jensen's inequality and free-weighting matrix technique, less conservative sufficient conditions are derived via choosing Lyapunov function to analyze and...

This paper proposes a passive fuzzy controller design for the discrete ship steering system that is represented by the Takagi-Sugeno (T-S) fuzzy model with multiplicative noises. Applying the Lyapunov theory for guaranteeing mean square stability, the sufficient conditions are developed to design the fuzzy controller for the T-S fuzzy model with mu...

This paper presents a relaxed scheme of fuzzy controller design for continuous-time nonlinear stochastic systems that are constructed by the Takagi–Sugeno (T–S) fuzzy models with multiplicative noises. Through Nonquadratic Lyapunov Functions (NQLF) and Non-Parallel Distributed Compensation (Non-PDC) control law, the less conservative Linear Matrix...

The stability analysis and controller synthesis methodology for a continuous perturbed time-delay affine (CPTDA) Takagi–Sugeno (T-S) fuzzy model is proposed in this paper. The CPTDA T-S fuzzy models include both linear nominal parts and uncertain parameters in each fuzzy rule. The proposed fuzzy control approach is developed based on an iterative l...

This paper describes a design of fuzzy controller for the input constrained discrete nonlinear passive systems via affine Takagi-Sugeno (T-S) fuzzy models. The stability conditions are derived based on Lyapunov and passive theories for the closed-loop system. The fuzzy controller design is accom-plished by using the concept of Parallel Distribution...

This paper presents a passive fuzzy controller design method for stabilizing the uncertain nonlinear stochastic inverted pendulum robot system. Through Takagi-Sugeno (T-S) fuzzy modeling approach, the complex nonlinear properties can be described by combining several linear sub-systems and determined membership functions. The Ito stochastic differe...

This paper investigates the fuzzy control problem of a class of nonlinear continuous-time stochastic systems with achieving the passivity performance. A model-based observer feedback fuzzy control utilizing the concept of so-called parallel distributed compensation (PDC) is employed to stabilize the class of nonlinear stochastic systems that are re...

This paper presents the fuzzy controller design using Imperfect Premise Matching (IPM) for inverted pendulum robot system. With the movable supportive base, the inverted pendulum robot system can be applied to simulate human stance. Moreover, the Takagi-Sugeno (T-S) fuzzy model is employed to describe the complex nonlinearities of the system. And,...

This paper deals with the problem of observer-based robust passive fuzzy control for uncertain Takagi-Sugeno (T-S) fuzzy model with multiplicative noises. For describing the stochastic behaviors of the system, the stochastic differential equation is used to structure the stochastic T-S fuzzy model. And, the uncertainties of the controlled system ar...

This paper deals with the problem of robust fuzzy control for uncertain passive discrete-time non-linear stochastic systems with multiplicative noise. In this paper the non-linear stochastic system is represented by a Takagi-Sugeno fuzzy model. Using that approach the concept of parallel distributed compensation is applied to construct the fuzzy co...

This paper discusses the issue of stability and stabilization for the non-linear stochastic systems with time-varying delay subject to passivity performance. Based on the fuzzy modelling approach, the non-linear systems can be represented by a stochastic T-S fuzzy model whose consequent part is described by linear differential equations with a mult...

The purpose of this paper is to study the stability analysis and controller synthesis principles of Discrete Perturbed Time-Delay Affine (DPTDA) Takagi-Sugeno (T-S) fuzzy models. In general, the T-S fuzzy model is a weighted sum of some linear subsystems via fuzzy membership functions. This paper considers fuzzy rules include both linear nominal pa...

This paper focuses on the observer-based passive fuzzy controller design prob-lem for uncertain Takagi-Sugeno (T-S) fuzzy models with time-delay and multiplica-tive noise. For stability analysis and synthesis, the sufficient conditions are derived via Lyapunov-krasovskii function and Itô's formula in terms of Linear Matrix Inequalities (LMIs). In a...

In this paper, a relaxed non-quadratic stabilization analysis is developed to design fuzzy controllers for non-linear stochastic systems that are constructed by the Takagi–Sugeno (T–S) fuzzy models with multiplicative noises. The multiplicative noise term is introduced in the consequent part of the T–S fuzzy system for representing the stochastic b...

The purpose of this paper is to study the H(∞) constrained fuzzy controller design problem for discrete-time Takagi-Sugeno (T-S) fuzzy systems with multiplicative noises by using the state observer feedback technique. The proposed fuzzy controller design approach is developed based on the Parallel Distributed Compensation (PDC) technique. Through t...

This paper deals with the fuzzy controller design problem for the dynamic ship positioning systems with multiplicative noises. The Takagi-Sugeno (T-S) fuzzy model is employed to represent the non-linear dynamic ship positioning systems. Subject to actuator saturation, some sufficient conditions are derived to guarantee the stability of the closed-l...

This paper focuses on the robust passive stability and stabilization problems for uncertain nonlinear stochastic time-delay systems. Via the fuzzy modeling approach, the nonlinear stochastic system is described by Takagi–Sugeno (T–S) fuzzy model in which the consequent parts are presented by linear stochastic time-delay differential equation. With...

This paper presents the relaxed nonquadratic stabilization conditions for designing fuzzy controller of inverted pendulum robot system via Takagi-Sugeno (T-S) stochastic fuzzy models. With the movable supportive base, the inverted pendulum robot system is applied to simulate human stance. Besides, the stochastic behavior of concerned system is also...

This paper proposes a passive fuzzy controller design methodology for nonlinear system with multiplicative noises. Applying the Itô's formula and the sense of mean square, the sufficient conditions are developed to analyze the stability and to design the controller for stochastic nonlinear systems which are represented by the Takagi–Sugeno (T–S) fu...

This paper deals with the stabilization of fuzzy stochastic systems with multiplicative noise subject to actuator saturation. The Itô's differential equation is used to present the nonlinear stochastic system. Moreover, the Takagi-Sugeno (T-S) fuzzy model is employed to approximate a nonlinear continuous system with multiplicative noise. The actual...

This paper addresses the problem of designing robust pas-sive fuzzy controller for uncertain nonlinear drum-boiler sys-tem with multiplicative noise. For this problem, the Ta-kagi-Sugeno (T-S) fuzzy model is employed to represent the nonlinearities of boiler system to be an analyzed system. Based on the T-S fuzzy model, the sufficient stability con...

The issue of observer-based robust passive fuzzy controller design is discussed and investigated in this paper for uncertain stochastic Takagi-Sugeno (T-S) fuzzy model with external disturbance. For describing the stochastic behaviors of system, the stochastic differential equation is used to structure the stochastic T-S fuzzy model for representin...

This paper deals with steering control problem of a computer simulated model car with fuzzy control approach. For simulating the real environment, the stochastic behavior of system is considered as multiplicative noise term. In addition, the external disturbance effect on system is also discussed for achieving attenuation performance by applying pa...

This paper focused on the robust fuzzy controller design for passive continuous stirred tank reactor (CSTR) system with multiplicative noise term. In order to simplify difficultly in stabilization problems for considered nonlinear system, the Takagi-Sugeno (T-S) fuzzy model technique was employed to carry out the proposed design method. For conside...

Purpose The purpose of this paper is to propose a stability analysis and control synthesis for achieving passivity properties of a class of continuous‐time nonlinear systems. These nonlinear systems are represented via continuous affine Takagi‐Sugeno (T‐S) fuzzy models, which played an important role in nonlinear control systems. The affine T‐S fuz...

This paper deals with the fuzzy based H ∞ control problem for time-delay affine Takagi-Sugeno (T-S) fuzzy models. A class of nonlinear time-delay systems is ap-proximated by a time-delay affine T-S fuzzy model in this paper. Based on Lyapunov-Razumikhin theorem and S-procedure, the stability and stabilization problems are solved by employing a Para...

This paper introduces an observer-based Hinfin fuzzy control design method for discrete-time nonlinear systems with multiplicative noise. First, the Takagi-Sugeno (T-S) fuzzy model is employed to approximate a nonlinear discrete-time system with multiplicative noise. Secondly, the stability conditions are derived via Lyapunov function to analyze th...