Robust reliable passive control of uncertain stochastic switched time-delay systems

Jia, Huimei; Xiang, Zhengrong; Karimi, Hamid Reza

doi:10.1016/j.amc.2014.01.020

Cited by 32 publications

(25 citation statements)

References 34 publications

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“…Example 1 Considering the time-invariant model described as (8), coefficient matrices are given as follows,…”

Section: Algorithm Descriptionmentioning

confidence: 99%

“…The existence of time delays, uncertainties and faults may lead to performance degradation or instability of systems. To improve security and reliability of systems, fault-tolerant control (FTC) schemes have been proposed in [1,3,8,15,19,31]. However, for linear time-delayed systems [26,27], the traditional FTC schemes become more conservative while the expected control performance may not be satisfactory.…”

Section: Introductionmentioning

confidence: 99%

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Quantized Feedback Adaptive Reliable $$H_{\infty }$$ H ∞ Control for Linear Time-Varying Delayed Systems

2015

Circuits Syst Signal Process

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Based on an improved H ∞ performance index, the method of designing a reliable adaptive H ∞ controller with quantized state is addressed for the time-varying delayed system in this paper. On the basis of online estimates of actuator faults, the controller parameters are updated automatically to compensate the influence of actuator faults on the system while the desired improved H ∞ performance is preserved. A Lyapunov function candidate is constructed to prove that the closed-loop system is asymptotically stable. And the existing sufficient conditions of the controller are proved to be less conservative. The gains of the controller and the parameters of the adaptive law are co-designed and obtained in terms of solutions to a set of linear matrix inequalities. Finally, two numerical examples are given to illustrate that the proposed method is more effective than the previous methods for time-varying delayed systems.

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“…Example 1 Considering the time-invariant model described as (8), coefficient matrices are given as follows,…”

Section: Algorithm Descriptionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quantized Feedback Adaptive Reliable $$H_{\infty }$$ H ∞ Control for Linear Time-Varying Delayed Systems

2015

Circuits Syst Signal Process

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“…Therefore, it is necessary to design fault-tolerant controllers to tolerant actuator faults and guarantee satisfactory performance for the closedloop systems. In the literature to date, reliable control approaches have been proposed, e.g., fuzzy control [14], dwell time approach [15], multiple Lyapunov functions technique [16], etc, and the reliable control has been extended to the singular systems [17]. Up to now, to best of our knowledge, most of the reliable controllers have fixed gains [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

“…In the literature to date, reliable control approaches have been proposed, e.g., fuzzy control [14], dwell time approach [15], multiple Lyapunov functions technique [16], etc, and the reliable control has been extended to the singular systems [17]. Up to now, to best of our knowledge, most of the reliable controllers have fixed gains [14][15][16]. In fact, time delays usually appear in the actual systems and can lead to the design of controllers become more complex and difficult.…”

Section: Introductionmentioning

confidence: 99%

The design of reliable adaptive controllers for time-varying delayed systems based on improved H∞ performance indexes

Li¹

2015

Journal of the Franklin Institute

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“…The problem of robust dissipative control for a class of uncertain continuous time system with input delay and linear fractional uncertainties despite possible actuator failures [11]. And in [12], the design method of a robust passive controller is presented for an uncertain stochastic switched time-delay systems with actuator failures. Robust passive fault-tolerance control is not only in theoretical research, but also in experiment research [13,14].…”

Section: Introductionmentioning

confidence: 99%

Robust passive reliable control for uncertain discrete-time Systems with time delay and actuator faults

Cheng¹,

Sheng²

2016

Proceedings of the 2016 4th International Conference on Machinery, Materials and Computing Technology

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Abstract. For a class of uncertain discrete-time system with time delay and actuator faults, a state feedback controller is designed based on passivity control method. The possible failure of each actuator is described by a variable varying within a given interval. Our aim is to design a reliable state feedback controller such that the closed-loop system is robust and strictly passive in the case of parameter uncertain and possible actuator failure. In terms of Lyapunov-Krasovskii functional and linear matrix inequality approach, a sufficient condition is presented for the existence of controller in the form of linear matrix inequalities (LMI). Finally, we give two numerical examples to demonstrate the effectiveness of the proposed design techniques.

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Robust reliable passive control of uncertain stochastic switched time-delay systems

Cited by 32 publications

References 34 publications

Quantized Feedback Adaptive Reliable $$H_{\infty }$$ H ∞ Control for Linear Time-Varying Delayed Systems

Quantized Feedback Adaptive Reliable $$H_{\infty }$$ H ∞ Control for Linear Time-Varying Delayed Systems

The design of reliable adaptive controllers for time-varying delayed systems based on improved H∞ performance indexes

Robust passive reliable control for uncertain discrete-time Systems with time delay and actuator faults

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