Design of robust-optimal output feedback controllers for linear uncertain systems using LMI-based approach and genetic algorithm

Ho, Wen-Hsien; Chen, Shinn-Horng; Liu, Tung-Kuan; Chou, Jyh–Horng

doi:10.1016/j.ins.2010.08.004

Cited by 8 publications

(3 citation statements)

References 34 publications

(76 reference statements)

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“…The robustness of the GA is considered in only a few studies in the literature [13]. Considering the definition of Roy [38], a ''robust heuristic'' can be defined as an algorithm providing consistent results (i.e.…”

Section: Testing the Robustnessmentioning

confidence: 99%

Parallel machine scheduling with fuzzy processing times using a robust genetic algorithm and simulation

Balin

2011

Information Sciences

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Section: Testing the Robustnessmentioning

confidence: 99%

Parallel machine scheduling with fuzzy processing times using a robust genetic algorithm and simulation

Balin

2011

Information Sciences

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“…Linear matrix inequalities (LMIs) have been playing an increasingly important role in the field of optimization and control theory because of the widespread problems (linear and convex quadratic inequalities, matrix norm inequalities, convex constraints etc.) can be written as LMIs [28,29]. In addition, LMI technique for chaos control is concerned; Chen et al [30] proposed a LMI-based linear-state-feedback control design to achieve the synchronization of uncertain chaotic systems.…”

Section: Introductionmentioning

confidence: 99%

Generalized projective synchronization of chaotic satellites problem using linear matrix inequality

Farid

Moghaddam

2014

Int. J. Dynam. Control

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In this paper, a systematic design procedure for generalized projective synchronization between two identical chaotic satellites systems based on feedback control theory is proposed. This method is developed based on suitable feedback control, combined with the Lyapunov stability theory and linear matrix inequality formulation as a solution of the optimal problem. Two necessary and sufficient conditions for the asymptotic stability of the error dynamic system are obtained. Compared with the predictive-based control method, the proposed method shows comparable and superior performance. The effectiveness of the obtained results is illustrated by numerical simulations.

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“…Recently, much effort has been directed towards finding a feedback controller in order to guarantee robust stability, see [13,14]. On the other hand, when controlling a real plant, it is also desirable to design a control systems which is not only asymptotically stable, but also guarantees an adequate level of performance index.…”

Section: Introductionmentioning

confidence: 99%

Output feedback stabilization of nonlinear discrete-time systems with time-delay

Dong

Wei

2012

Adv Differ Equ

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This article considers both the static output feedback stabilization issue and outputfeedback guaranteed cost controller design of a class of discrete-time nonlinear systems with time-delay. First, by static output feedback controller, the new sufficient conditions for static output feedback stabilization of a class of discrete-time nonlinear systems with time-delay are presented. Then, we establish the new delayindependent sufficient conditions for existence of the guaranteed cost control by static output-feedback controller in terms of matrix inequalities. Finally, two examples are given to show the effectiveness of our proposed approaches. 2000 MSC 93D15; 93C55; 34K20; 34D23.

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Design of robust-optimal output feedback controllers for linear uncertain systems using LMI-based approach and genetic algorithm

Cited by 8 publications

References 34 publications

Parallel machine scheduling with fuzzy processing times using a robust genetic algorithm and simulation

Parallel machine scheduling with fuzzy processing times using a robust genetic algorithm and simulation

Generalized projective synchronization of chaotic satellites problem using linear matrix inequality

Output feedback stabilization of nonlinear discrete-time systems with time-delay

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