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Network-Based Output Tracking Control for a Class of T-S Fuzzy Systems That Can Not Be Stabilized by Nondelayed Output Feedback Controllers
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This paper investigates network-based output tracking control for a T-S fuzzy system that can not be stabilized by a nondelayed fuzzy static output feedback controller, but can be stabilized by a delayed fuzzy static output feedback controller. By intentionally introducing a communication network that produces proper network-induced delays in the feedback control loop, a stable and satisfactory tracking control can be ensured for the T-S fuzzy system. Due to the presence of network-induced delays, the fuzzy system and the fuzzy tracking controller operate in an asynchronous way. Taking the asynchronous operation and network-induced delays into consideration, the networkbased tracking control system is modeled as an asynchronous T-S fuzzy system with an interval time-varying delay. A new delaydependent criterion for L₂-gain tracking performance is derived by using the deviation bounds of asynchronous normalized membership functions and a complete Lyapunov-Krasovskii functional. Applying a particle swarm optimization technique with the feasibility of the derived criterion, a novel design algorithm is presented to determine the minimum L₂-gain tracking performance and control gains simultaneously. The effectiveness of the proposed method is illustrated by performing network-based output tracking control of a Duffing-Van der Pol's oscillator.
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... As a typical fuzzy strategy, T-S fuzzy model is described by a series of "IF-THEN" rules, approximating arbitrary nonlinear systems with a set of linearized models in local scope, which makes nonlinear systems easier to analyze [15][16][17]. For example, a novel fuzzy sliding surface relating to the singularly perturbed parameter has been constructed to adapt the singularly perturbed systems characteristics for the first time, and the effective observer-based sliding mode controller has been designed for complex fuzzy systems [17]. ...
... Remark 1: Compared with type-1 T-S fuzzy model [2,3,11,15,16,32], IT2F model is adopted to describe S-MJSs, which makes up for the deficiency of modeling the parameter uncertainty in type-1 fuzzy strategy. In addition, IT2F model can effectively capture the parameter uncertainty by using the upper and lower membership functions, which greatly reduces the conservatism of the research results. ...
... Thus, according to (21), one has (11). ■ Remark 9: The general method [15,16] of dealing with the mismatched membership functions in T-S fuzzy systems is not suitable for this study. To solve the controller gain, the slack matricesΞ αℓ ≥ 0 and Ξ αℓ ≥ 0 are introduced. ...
The sliding mode control (SMC) problem is studied for interval type-2 fuzzy semi-Markovian jumping systems (S-MJSs) subject to channel fading. To reduce the network burden, a dynamic event-triggered protocol is adopted to improve the transmission efficiency. A key feature is that the signal transmission is inevitably affected by fading phenomenon due to random noise and amplitude attenuation during the wireless communication. The main challenge lies in designing an appropriate fuzzy control scheme to achieve the reachability of the specified sliding region in line with channel fading. Under the common sliding surface, a fuzzy SMC law is constructed, which is related to the state signals affected by dynamic event-triggered protocol and channel fading. Then, by means of the boundary information of the global membership functions, sufficient conditions to ensure the stochastic stability of the underlying system, and the system states can be driven on the specified sliding region within a finite-time interval, which attenuates the influence of the channel fading. In the end, the tunnel diode circuit model is simulated to verify the proposed SMC strategy.
... As a result, a rich literature related to controller design, filtering design, and stability analysis on T-S has been published (Latrech et al., 2018;Kang and Lee, 2018;Shi et al., 2020;Makni et al., 2019;Tao et al., 2018;Kchaou et al., 2018). In the quoted papers, the tracking control problem for T-S fuzzy models has been tackled (Fu et al., 2022;Li et al., 2022;Zhang et al., 2015;Gu et al., 2017). Another issue with feedback control is that, as industrial engineering has progressed, many practical plants have become highly complicated, and, in addition, various environmental factors have become more relevant, such as sudden changes in working conditions, corroded internal components, and aged sensors and actuators. ...
... 1. As an alternative to existing fuzzy trucking control schemes (Gu et al., 2017;Zhang et al., 2015), this study proposes a new model of the fault including a nonlinear part for reliable tracking control of fuzzy systems subject to exogenous disturbances and nonlinear actuator failures. 2. In accordance with the non-quadratic Lyapunov function, sufficient conditions are derived for the 2 -gain tracking performance analysis of the resulting closed-loop system error. ...
Based on the Takagi-Sugeno (T-S) fuzzy model approach, this study discusses the robust fault-tolerant tracking controller design for non-linear systems affected by external disturbances, uncertainties, and actuator failures. In contrast to existing results, this study assumes the actuator fault model includes linear and nonlinear terms, and a state feedback controller is designed to improve the tracking and stability of the system when actuators fail. Using a non-quadratic Lyapunov function, new sufficient conditions for L_2-gain tracking performance analysis are derived to determine simultaneously the minimal level of the L_2-gain and controller gains. The robustness of the proposed approach is also investigated. An illustration of the theoretical developments is provided by a Duffing forced oscillation system.
... However, for a certain unstable system, if introducing a proper time-delay into its feedback channel, the system may become stable, which means that time-delay sometimes has positive effects on a class of practical systems, see, e.g. Zhang et al. (2015Zhang et al. ( , 2022b. Inspired by that, timedelay is artificially introduced to the recoil control for riser-tensioner systems , where delayed full state feedback recoil controllers are designed, and the effects of time-delay on the recoil control performance are analyzed theoretically. ...
In the dangerous ocean situations, the deepwater drilling riser needs evacuate emergently to guarantee the safety of the structures. The bottom equipment of the lower marine riser package should be disconnected from the blowout preventer timely. In this case, the recoil response of the riser occurs, which may lead to potential safety risks of the structure. This paper deals with the recoil suppression control problem of a deepwater drilling riser system via static output feedback recoil control scheme with memory. First, for the riser-tensioner system subject to the friction resistance of drilling discharge and the heave motion of platform, a static output feedback recoil controller with both current and delayed output signals of the system is proposed. Then, the existence conditions and design algorithm of the static output feedback recoil controller are derived. The gain matrices of the recoil controller can be obtained by solving linear matrices inequalities. It is found through simulation results that (i) the static output feedback recoil controllers with and without memory are effective to reduce the recoil responses of the riser; and (ii) to design the applicable output feedback recoil controllers, the displacement and velocity signals of the first mass block of the riser are required, and specifically, the velocity signal of the first mass block is indispensable; and (iii) the output feedback recoil controllers with memory provide more implementation options, and practically better than the ones without memory and some existing full state feedback recoil controllers.
In this work, the problem of sliding mode tracking control with previewable reference signals is investigated for nonlinear discrete-time T–S fuzzy multi-agent systems (MASs) with time-delays. First, an augmented error system (AES) including the error as well as the previewable reference signal is constructed by using the theory of preview control. Subsequently, a fuzzy sliding mode surface (SMS) is proposed for the AES. Next, a general scheme for stability analysis is given for the sliding motion of the considered system. A sliding mode controller with preview action satisfying the discrete-time reachability condition is designed. At the end, the cases of arithmetic are offered to demonstrate that the suggested control strategy can effectively enhance the tracking performance of the MAS’s output with respect to the reference signal.
The wireless networked control system (WNCS) is a closed-loop hierarchical network that enables interaction among wireless communication, computation, and control components to support various services ranging from information exchange to intelligent decision-making. Different from a single communication system aiming for reliable or efficient delivery, WNCS is goal-oriented, highlighting the ultimate control performance requirement guaranteed under various limits of communication, computation, and control resources. In this paper, we present a comprehensive survey of WNCS from the communication perspective. We discuss appropriate WNCS architecture, topics such as sensing strategy design under energy and bandwidth constraints, state estimation problems in the presence of imperfect channels, and control approaches for WNCS performance. We further pay attention to the joint design within WNCS to achieve well-performing WNCS improvements. Moreover, considering the fact that timely transmission of the measurements is of significance to precise control, we provide a review of WNCS design involving the Age of Information (AoI) that copes with the goal-oriented requirements. The challenges and new research directions are discussed at the end of this survey.
This paper explores the design of switched fuzzy controllers for interval type-2 (IT2) fuzzy systems with a fuzzy-rule-dependent adaptive event-triggered mechanism (AETM). First, a novel fuzzy-rule-dependent AETM is proposed for the studied system, which takes into consideration both the information of membership functions (MFs) and fuzzy rules. The corresponding AETM for each fuzzy rule can effectively conserve the limited communication bandwidth by adaptively adjusting the triggering parameter based on the state evolution trends and MF information. Second, an appropriate switched IT2 fuzzy controller is designed that can be switched according to the values of the MFs. Compared to the existing works, the proposed switched IT2 fuzzy controller achieves superior control performance. Subsequently, relaxed stability conditions are developed by considering the information of both the lower and upper MFs, and introducing some slack matrices to cope with parameter uncertainties. The proposed stability condition can stabilize the state of the resulting closed-loop system despite the AETM. Finally, a practical mass-spring-damper example is presented to demonstrate the validity of the presented method.
This article is concerned with the security
$\mathcal{H}_{\infty}$
fuzzy control problem for Takagi–Sugeno (T–S) fuzzy semi-Markov switching systems (SMSSs) with event-based strategy and hybrid cyber-attacks. To efficiently use network resources and avoid unnecessary signal transmission, a new mode-dependent dynamic event-triggered mechanism (ETM), whose threshold parameter changes with varying states and modes is developed for each subsystem of fuzzy SMSSs. A more practical network environment subject to deception and denial-of-service (DoS) attacks is considered, and two Bernoulli distributed variables are adopted to characterize the randomly occurring hybrid attacks in a unified framework. By the mode-dependent Lyapunov function, sufficient conditions are attained to assure that the closed-loop system is stochastically stable with an
$\mathcal{H}_{\infty}$
attenuation performance. Finally, the validity and superiority of the proposed theoretical approach is demonstrated via its application to the Duffing–Van der Pols oscillator.
This chapter deals with T-S fuzzy dynamic positioning controller design for a UMV in network environments. Network-based T-S fuzzy DPS models for the UMV are first established. Then, by taking into consideration an asynchronous difference between the normalized membership function of the T-S fuzzy DPS and that of the controller, stability and stabilization criteria are derived.
This paper investigates the decentralized control for a large-scale system with an IP-based communication network. The decentralized controller design specifically takes the nonuniform communication-delay-distribution characteristic of the IP-based communication network into account. First, a networked decentralized control modeling for the large-scale system is proposed. The two main points are: 1) a decentralized controller is designed, which does not depend on the full-order state of the system and 2) the nonuniform communication-delay-distribution characteristic of the IP-based communication network is fully considered in the controller design. Second, if the probability distribution of communication delay is known a priori in the design process, sufficient stability and stabilization conditions for the networked large-scale system are derived in terms of linear matrix inequalities. It shows that, the solvability of the design depends not only on the probability distribution of the communication delay but also on the network topology. Finally, the design method is applied to two pendulums coupled by a spring and a quadruple-tank process. Simulation results demonstrate the effectiveness of the proposed method.
This note is concerned with the event-triggered L-2 control for a sampled-data control system. A novel event-triggered transmission scheme is first proposed to determine whether or not the sampled-data should be transmitted. Under this scheme, the sampled-data transmission should be executed only when a threshold is violated, which means that less sampled-data is transmitted. This scheme does not require any special hardware for continuous measurement. Then, the sampled-data control system is modeled as a sampled-data error dependent system. A stability criterion is derived by constructing a novel Lyapunov-Krasovskii functional which fully utilizes the sawtooth structure characteristic of an artificial delay. Based on this stability criterion, a sufficient condition on the existence of a state feedback controller is given. A co-design algorithm is provided to obtain the parameters of the event-triggered transmission scheme and the controller gain simultaneously. Finally, an inverted pendulum example is given to show the effectiveness of the event-triggered transmission scheme and the co-design algorithm.
SUMMARY This paper studies the stability of linear systems with interval time-varying delays. By constructing a new Lyapunov–Krasovskii functional, two delay-derivative-dependent stability criteria are formulated by incorporating with two different bounding techniques to estimate some integral terms appearing in the derivative of the Lyapunov–Krasovskii functional. The first stability criterion is derived by using a generalized integral inequality, and the second stability criterion is obtained by employing a reciprocally convex approach. When applying these two stability criteria to check the stability of a linear system with an interval time-varying delay, it is shown through some numerical examples that the first stability criterion can provide a larger upper bound of the time-varying delay than the second stability criterion. Copyright © 2012 John Wiley & Sons, Ltd.
This article is concerned with the problem of H ∞ predictive control of networked control system with random network delay. A new control scheme termed networked predictive control is proposed. This scheme mainly consists of the control prediction generator and network delay compensator. While designing the predictor, the control input to the actuator may be different due to networked induced time-delay and data dropout, and two cases are considered depending on the way that the observer obtains the plant control input u t . The necessary and sufficient conditions are given for the closed-loop networked predictive control system to be stochastically stable for different u t and random network delays in controller to actuator channel (CAC) and sensor to controller channel (SCC). A simulation study shows the effectiveness of the proposed scheme.
In this paper, we present a novel H"~ control scheme for a networked control system (NCS) with multiple data packet dropouts. Multiple data packet dropouts occur randomly in both control channel and measurement channel. The NCS with both measurement and control packet dropouts is modeled as a stochastic parameter system which contains two independent Bernoulli distributed white sequences. An H"~ dynamic output controller is designed to exponentially stabilize the networked system in the sense of mean square, and also to achieve the prescribed H"~ disturbance attenuation level. An iterative algorithm is developed to compute the optimal H"~ disturbance attenuation and the controller parameters by solving the semi-definite programming problem via an interior-point approach. Two illustrative examples are provided to show the applicability of the proposed method.
This paper focuses on network-based master-slave synchronization for delayed neural networks through a remote controller. The insertion of communication networks in a master-slave synchronization scheme inevitably induces network delays, packet dropouts and stochastic fluctuations. The data packets may be received with a different temporal order from that they are sent due to the fact that the network-induced delay is time-varying. A logic data processor and a logic zero order hold are proposed in the master-slave synchronization framework. Then an error system for the master system and the slave system is formulated. By combining a generalized Jensen integral inequality and a convex combination technique, some synchronization criteria are derived to ensure the mean-square global exponential synchronization of state trajectories for the master system and the slave system. The controller gain matrix is obtained by solving a minimization problem in terms of linear matrix inequalities using a cone complementary technique. As a special case in which only network-induced delays and packet dropouts are occurred in the signal transmission channels, some results are also presented. Finally, two illustrative examples are provided to show the effectiveness and applicability of the proposed scheme.
In this study, the authors are concerned with the observer-based quantised H∞ control problem for a class of discrete-time stochastic systems with random communication delays. The system under consideration involves signals quantisation, state-dependent disturbance as well as random communication delays. The measured output and the control input quantisation are considered simultaneously by using the sector bound approach, while the random communication delays from the sensor to the controller and from the controller to the plant are modelled by a linear function of the stochastic variable satisfying Bernoulli random binary distribution. It is aimed at designing an observer-based controller such that the dynamics of the closed-loop system is guaranteed to be exponentially stable in the mean square, and a prescribed H∞ disturbance attenuation level is also achieved. Finally, a simulation example is given to illustrate the effectiveness of the proposed method.