Delay-Dependent Robust Stability Analysis and Synthesis of Uncertain Fuzzy System with Time-Varying Delays

Gong, Cheng; Bao-ku, SU

doi:10.1109/icmlc.2007.4370321

Cited by 11 publications

(10 citation statements)

References 19 publications

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“…In [5][6][7][8], the problem of stability analysis for time-delay systems was investigated. In [9][10][11][12][13][14][15], a great number of results on system analysis and control problems of such systems were proposed.…”

Section: Introductionmentioning

confidence: 99%

Delay‐dependent robust H_∞ control for uncertain stochastic time‐delay systems

Rui

Gao

Shi

2009

Intl J Robust & Nonlinear

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SUMMARYThis paper investigates the robust H ∞ control problem for stochastic systems with a delay in the state. Sufficient delaydependent conditions for the existence of state-feedback controllers are proposed to guarantee mean-square asymptotic stability as well as the prescribed H ∞ performance for the closed-loop systems. Moreover, the results are further extended to the stochastic time-delay systems with parameter uncertainties, which are assumed to be time-varying norm-bounded appearing in both the state and the input matrices. The appealing idea is to partition the delay, which differs greatly from the most existing results and reduces conservatism by thinning the delay partitioning. Numerical examples are provided to show the advantages of the proposed techniques.

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Section: Introductionmentioning

confidence: 99%

Delay‐dependent robust H_∞ control for uncertain stochastic time‐delay systems

Rui

Gao

Shi

2009

Intl J Robust & Nonlinear

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“…For the uncertain time-delayed MJSs without jump parameters, uncertainties or neutral time-delays, the main results will reduce to the general conclusions presented in [6,7,9,10,12,14,18,21,26,29]. From the simulation results, we see that the modified stability method given in this paper is quite effective.…”

Section: Remark 41mentioning

confidence: 63%

“…On another research front, the stability problem for dynamic systems with timedelays [7,10,28] has received considerable attention in the past three decades. The reason is mainly due to the fact that time-delays are frequently the source of instability and performance degradation of a real dynamic process.…”

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confidence: 99%

On Delay-Dependent Stability of Markov Jump Systems with Distributed Time-Delays

Liu

2010

Circuits Syst Signal Process

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This paper studies the robust stochastic stability problem for a class of Markov jump systems with norm bounded uncertain parameters and distributed timedelays. Integral inequality techniques together with Lyapunov-Krasovskii functional approach are employed to develop new delay-dependent sufficient conditions for stochastic stability. The main results are derived via linear matrix inequalities formulation. Simulation examples illustrate the effectiveness of the developed techniques.

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“…Stochastic systems have come to play an important role in many branches of science and industry; an area of particular interest has been the automatic control and filter design of stochastic systems, and a great number of results on this subject have been reported in the literature [3,4,7,[15][16][17][18]. The study of stochastic systems has received much attention over the past few decades due to extensive applications of stochastic systems in mechanical systems, economics, systems with human operators, and other areas.…”

Section: Introductionmentioning

confidence: 99%

Robust Stochastic Stabilization and H ∞ Control for Neutral Stochastic Systems with Distributed Delays

Qiu

Shi

2010

Circuits Syst Signal Process

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This paper considers the problem of robust stabilization and H ∞ control for a class of uncertain neutral stochastic systems, in which delay is distributed and the parametric uncertainties are norm-bounded. By designing a state feedback controller, we obtain a delay-dependent criterion such that the resulting closed-loop system is robustly stochastically asymptotically stable in the mean square and the effect of the disturbance input on the controlled output is less than a prescribed level for all admissible parameter uncertainties. New sufficient conditions are presented based on the linear matrix inequality approach. Finally, numerical examples are used to illustrate the effectiveness and feasibility of the approaches proposed in this paper.

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Delay-Dependent Robust Stability Analysis and Synthesis of Uncertain Fuzzy System with Time-Varying Delays

Cited by 11 publications

References 19 publications

Delay‐dependent robust H_∞ control for uncertain stochastic time‐delay systems

Delay‐dependent robust H_∞ control for uncertain stochastic time‐delay systems

On Delay-Dependent Stability of Markov Jump Systems with Distributed Time-Delays

Robust Stochastic Stabilization and H ∞ Control for Neutral Stochastic Systems with Distributed Delays

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Delay-Dependent Robust Stability Analysis and Synthesis of Uncertain Fuzzy System with Time-Varying Delays

Cited by 11 publications

References 19 publications

Delay‐dependent robust H∞ control for uncertain stochastic time‐delay systems

Delay‐dependent robust H∞ control for uncertain stochastic time‐delay systems

On Delay-Dependent Stability of Markov Jump Systems with Distributed Time-Delays

Robust Stochastic Stabilization and H ∞ Control for Neutral Stochastic Systems with Distributed Delays

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Delay‐dependent robust H_∞ control for uncertain stochastic time‐delay systems

Delay‐dependent robust H_∞ control for uncertain stochastic time‐delay systems