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In this paper, we describe an evolutionary design procedure for discrete-time anti-windup controller for electrical drives. Using a genetic algorithm devised to test and compare controllers of different orders, we search for the discrete anti-windup controller achieving the optimal compromise of weighted cost and performance indices. The search is...
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In this paper, we describe an evolutionary design procedure for discrete-time anti-windup controller for electrical drives. Using a genetic algorithm devised to test and compare controllers of different orders, we search for the discrete anti-windup controller achieving the optimal compromise of weighted cost and performance indices. The search is...
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Citations
... Similar works for designing fuzzy controllers utilizing genetic algorithm are also reported in [175,[181][182][183][184][185][186][187][188][189][190]. ...
Automatic control theory, predominantly the concept of feedback, has played a fundamental role to the development of automation [1].
... In recent times, more and more attentions are paid to systematic design of FLCs from the point of view of stable behavior and optimization of performance indices. Several such stable and optimized FLCs have been proposed utilizing, e.g., neural network [1], GA [2,3], PSO [4,5], ant colony [6]. ...
In recent years, fuzzy logic controllers (FLCs) have been widely used as a successful practical approach for designing and implementing control systems. The design of fuzzy controllers permitted the designer for simple inclusion of heuristic knowledge or linguistic information about how to control a plant rather than requiring the exact mathematical model. Although the original interest was initiated by the urge to design controllers for those systems which are very difficult to be characterized mathematically, with time, study on FLCs expanded extensively for both model-free and model-based systems. In recent times, more and more attentions are paid to systematic design of FLCs from the point of view of stable behavior and optimization of performance indices. Several such stable and optimized FLCs have been proposed utilizing, e.g., neural network, GA, PSO, ant colony.
... The problem of parameter identification could be treated as a problem of optimization. There are many researches on the applications of intelligent optimization to parameters identification and control system design, such as [4][5][6][7][8][9]. ...
Heuristic optimization has shown its superiority in handling identification problem of complicated system, for methods based on heuristic optimization do not have special requirements on model structures of the target system. In this paper, a piecewise function based gravitational search algorithm (PFGSA) is proposed and applied in parameter identification of automatic voltage regulator (AVR) system. In the proposed algorithm, a piecewise function is designed as the gravitational constant function to replace the traditional exponential equation. The piecewise function provides more rational gravitational constant to control the convergence of algorithm, and thus excellent searching ability is likely to be achieved. Moreover a new weighted objective function is proposed in the identification frame. Comparative experimental studies are conducted to test the searching ability of PFGSA and to verify the performance of proposed identification strategy, while genetic algorithm, particle swarm optimization and GSA are employed for comparison. The experimental results show that PFGSA performs the best on term of accuracy and stability in the parameter identification of AVR system, and the proposed identification strategy is effective.
... To develop FC theory and extend its applications further, various improved FC methods have been proposed, such as Lyapu-nov-based FC methods [11,12], fuzzy controllers optimized by the Genetic Algorithm (GA) [13][14][15] and fuzzy neural network controller [16,17]. Among these enhanced variants, the Lyapunovbased scheme can implement the online fuzzy controller design with the guarantee of closed-loop stability which is attractive to power station applications where the high reliability of control is required. ...
... locations of the MFs scaling gains j j positions of the output singletons ½ (6) 3.1.1. GA-based controller design algorithmThe outline of the real coded GA-based controller design algorithm employed in this article is given as follows(Bavafa-Toosia, Ohmorib, & Labibi, 2006;Cupertino, Mininno, Naso, Turchiano, & Salvatore, 2004): ...
In this present article, a new hybrid methodology for designing stable adaptive fuzzy logic controllers (AFLCs) for a class of non-linear system is proposed. The proposed design strategy exploits the features of genetic algorithm (GA)-based stochastic evolutionary global search technique and Lyapunov theory-based local adaptation scheme. The objective is to develop a methodology for designing AFLCs with optimised free parameters and guaranteed closed-loop stability. Simultaneously, the proposed method introduces automation in the design process. The stand-alone Lyapunov theory-based design, GA-based design and proposed hybrid GA-Lyapunov design methodologies are implemented for two benchmark non-linear plants in simulation case studies with different reference signals and one experimental case study. The results demonstrate that the hybrid design methodology outperforms the other control strategies on the whole.
... disadvantage is that it is difficult to synthesize the design of the system. Hence, back-calculation compensation has been widely adopted [13][14][15][16]. Both conditional integration and tracking back-calculation were combined in [17][18][19][20][21]. ...
A novel antiwindup (AW) strategy for a proportional-integral (PI) regulator based on the back-calculation method is presented. The proposed method will calculate the gain of the back-calculation based on the input and output status of the PI regulator without the requirement of motor parameters, such as the inertial and torque-current coefficient, and the back-calculation gain will vary with the speed command in order to obtain the optimal dynamic performance. The proposed method avoids the problem caused by the fixed back-calculation gain in the classical AW strategy, and prevents the system from untimely saturation withdrawing or an unexpected overshoot due to the inappropriate back-calculation gain, respectively. The proposed AW strategy is compared with the classical AW design by simulation and experiment on an application platform of a permanent magnet synchronous motor servo system. A PI controller with the proposed AW design will decrease the overshoot with a small settling time of the system's step-response, which can be observed obviously in wide dynamic variation. It reduces the difficulty of the parameter tuning for the PI controller.
... Many scholars have done a lot of research on Windup and proposed many methods of Anti-Windup [4][5][6][7]. AW can be divided into two categories [8]. One is conditional integration. ...
... Make K c = K;, when 0< eu = un -Us < a, and the A W process is same to BCA T at this time. The tuning principle of Kc is shown as(6). ...
A novel PI Controller Anti-Windup(AW) design which is based on the way of back-calculate is presented. It is to put forward the principle for the tuning of back-calculation gain, which needs to be changed along with the step command in order get a optimal dynamic response. The proposed AW design can avoid the problem caused by the fixed back-calculation gain in the classical AW design, and prevent saturation withdrawing ahead of time or a unexpected large overshoot due to a larger or smaller back-calculation gain respectively. The new method of AW is compared with the classical AW design by simulation and experiment on application platform of permanent magnet synchronous motor (PMSM) servo system. A PI controller with the proposed AW design can decrease the overshoot with shortening the settling time of system step-response, which can be observed obviously in wide dynamic variation. It reduced the difficulty of the tuning of the controller parameters.
... The commonly applied AW [15][16][17] can be classified into two catalogs, linear AW and nonlinear AW. The linear AW uses the difference between the controller output and the desired actuator input, derives from the controller windup, as a feedback signal and constructs a feedback loop to eliminate the difference, but difficult to synthesize , which calls for complicated algorithm and is difficult for implementation. ...
... However, in this case, the integration is already stopped after windup, since the controller is realized by analog circuits. And both corresponding simulation and experiment show its failure by oscillation results as in Fig. 2 [15][16][17] . ...
As actuator of the forcerebalanced servo loop, the electrostatic force generator of the microaccelerometer shows high nonlinearity while the interpole of the microelectromechanical system(MEMS) sensor is far away from its balance position. The control system cannot rebalance itself with the limited bandwidth after an external long overload, because the characteristics of the force generator differ from normal case. Although for similar problems, solutions with cascading leadlag blocks, with the antiwindup(AW) technology, or with the slidingmode control, are widely reported, the problems such as performance loss or difficulty to synthesize a digital controller still remain. Based on existing researches, remedies are developed by analyzing the characteristic of the system not only near the balance position, but also corresponding to the whole moveable range of the interpole, and a new controller is proposed. The solution is compared with the common solutions of cascading leadlag blocks method, AW methods, and sliding mode methods. Comparison results show that the proposed solution avoid performance loss, compared to cascading leadlag blocks solution; the proposed solution is easily synthesized and implemented in the analog servo loop of the microaccelerometer, compared to digital AW methods; at the same time, the proposed solution avoids suffering the chattering effect problem but just utilize it, compared to the slidingmode control solution. Nevertheless, comparison results show the solution is lack of commonality, since the solution is only more suitable to micro electrostatic forcerebalance system. The SIMULINK models with and without the proposed solution, taking typical microaccelerometer parameters, have been set up for simulation; corresponding experiments utilizing electrometric method are also conducted after the successful simulations. Simulation and experiment results verify that the microaccelerometer will reliably return to normal operation after external long overload with the proposed solution. Therefore, it is expected to design the analog servo loop of high performance micro electrostatic forcerebalance system so as to ensure the rebalance after long overload without
... Owing to both the highly multi-variate nature of the problem and the multi-modality of the fitness landscape (Caponio et al., 2007) a hill-climbing (or hill-descending) approach is inadequate since a local search algorithm could likely stop at a local optimum. Although in recent years genetic algorithms have been widely applied in motor drive applications (da Silva et al., 2000;Cupertino et al., 2003Cupertino et al., , 2004, their use can also turn out unsuccessful due to the premature convergence to suboptimal solutions. In addition, some studies in evolutionary computation (Eiben and Smith, 2003) highlighted that evolutionary algorithms are efficient in detection within the neighborhood of the global optimum but not very efficient in finalizing the optimization. ...
Purpose
– This paper aims to propose a reliable local search algorithm having steepest descent pivot rule for computationally expensive optimization problems. In particular, an application to the design of Permanent Magnet Synchronous Motor (PMSM) drives is shown.
Design/methodology/approach
– A surrogate assisted Hooke‐Jeeves algorithm (SAHJA) is proposed. The SAHJA is a local search algorithm with the structure of the Hooke‐Jeeves algorithm, which employs a local surrogate model dynamically constructed during the exploratory move at each step of the optimization process.
Findings
– Several numerical experiments have been designed. These experiments are carried out both on the simulation model (off‐line) and at the actual plant (on‐line). Moreover, the off‐line experiments have been considered in non‐noisy and noisy cases. The numerical results show that use of the SAHJA leads to a saving in terms of computational cost without requiring any extra hardware components.
Originality/value
– The surrogate approach in the design of electric drives is novel. In addition, implementation of the proposed surrogate model allows the algorithm not only to reduce computational cost but also to filter noise caused by the sensors and measurement devices.
... in which k pw and k iw are the proportional and integral gain of the anti-windup discrete-time PI speed controller (see Fig.1), k pos is the gain of the proportional position controller, sm τ is the time constant of the first order smoothing filter and eq τ is the equivalent time constant of the position control loop (generally estimated offline with system identification procedures [9][10][11]). The stopping criterion is the maximum number of loss function calls chosen equal to 200 (i.e. the whole experiment lasts 225 seconds, although the entire algorithm converges in about one third of this interval). ...
This paper describes the implementation of self-optimizing embedded control schemes for induction motor drives. The online design problem is formulated as a search problem and solved with stochastic optimization algorithms. The objective function takes into account the tracking error, and is directly measured on the hardware bench. In particular, we compare two efficient optimization algorithms, a simultaneous perturbation stochastic approximation method, and a compact genetic algorithm. Both search strategies have very small computational requirements, and therefore can be directly implemented on the same processor running the control algorithm.
