New stability and stabilization criteria for a class of fuzzy singular systems with time-varying delay

Wang, Huijiao; Zhang, Bo; Lu, Renquan; Xue, Anke

doi:10.1016/j.jfranklin.2013.02.030

Cited by 41 publications

(35 citation statements)

References 33 publications

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“…Lemma 3 (Wang et al 2014) For any constant matrix M > 0, any scalar σ > 0, and any vector function x (t) : [0, σ ] → R n , such that the integrals concerned are well defined, the following inequality holds:…”

Section: Lemma 1 (Ozgoli and Taghirad 2009) Let F H ∈ R P×n Then Fmentioning

confidence: 99%

“…Li et al (2014a) discussed the nonlinear time delay Markovion jump system by the T-S fuzzy model. In Wang et al (2014), new stability and stabilization criteria for a class of fuzzy singular systems with time-varying delay were obtained.…”

Section: Introductionmentioning

confidence: 99%

“…Hence, the stability analysis and stabilization of T-S fuzzy systems with time delays have been widely studied in recent years (Zhu and Xia 2014;Li et al 2014a;Wang et al 2014). External disturbance is often the source of instability and poor performance of systems.…”

Section: Introductionmentioning

confidence: 99%

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Memory feedback $${H_\infty }$$ H ∞ control of uncertain singular T–S fuzzy time-delay system under actuator saturation

Chen

2015

Comp. Appl. Math.

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In this paper, the problem of memory feedback H ∞ control for singular T-S fuzzy time-delay system under actuator saturation and uncertain parameters is investigated. Firstly, delay-dependent LMIs are established, which guarantee the closed-loop system is admissible with a prescribed H ∞ performance. Then, the estimation of the largest domain of attraction for the system is formulated and solved as an LMI optimization problem. Finally, some numerical simulation results are provided to demonstrate the effectiveness and superiority of the proposed method.

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Section: Lemma 1 (Ozgoli and Taghirad 2009) Let F H ∈ R P×n Then Fmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Memory feedback $${H_\infty }$$ H ∞ control of uncertain singular T–S fuzzy time-delay system under actuator saturation

Chen

2015

Comp. Appl. Math.

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“…It has been proved that T-S fuzzy models can be used to approximate a wider class of nonlinear system, which are realized by piecewise smoothly connecting a family of local linear models with fuzzy membership functions. This "blending" makes the subsystems of T-S fuzzy model similar to linear systems, and the fruitful results of linear system theories can be directly applied for the stability analysis and synthesis of nonlinear systems [3][4][5][6][7]. A great repercussion of T-S fuzzy models can be verified in many practical fuzzy model based control systems (see, for instance, [8][9][10][11][12][13][14] and references therein).…”

Section: Introductionmentioning

confidence: 99%

Robust dynamic output feedback fault-tolerant control for Takagi-Sugeno fuzzy systems with interval time-varying delay via improved delay partitioning approach

Sun

Wang

2016

Open Mathematics

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This paper addresses the problem of robust fault-tolerant control design scheme for a class of TakagiSugeno fuzzy systems subject to interval time-varying delay and external disturbances. First, by using improved delay partitioning approach, a novel n-steps iterative learning fault estimation observer under H 1 constraint is constructed to achieve estimation of actuator fault. Then, based on the online estimation information, a fuzzy dynamic output feedback fault-tolerant controller considered interval time delay is designed to compensate for the impact of actuator faults, while guaranteing that the closed-loop system is asymptotically stable with the prescribed H 1 performance. Moreover, all the obtained less conservative sufficient conditions for the existence of fault estimation observer and fault-tolerant controller are formulated in terms of linear matrix inequalities. Finally, the numerical examples and simulation results are presented to show the effectiveness and merits of the proposed methods.

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“…They discussed uncertain T-S fuzzy problem using delay decomposition approach. Wang et al [36] discussed the stability analysis and stabilizing controller design for fuzzy singular systems with time-varying delay using delay-partitioning approach. Han et al [15] and Huang et al [18] investigated the fuzzy descriptor systems with controller design.…”

Section: Introductionmentioning

confidence: 99%

Robust Stability Analysis of Takagi–Sugeno Fuzzy Nonlinear Singular Systems with Time-Varying Delays Using Delay Decomposition Approach

Manivannan

Muralisankar

2015

Circuits Syst Signal Process

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This paper investigates the problem of robust stability analysis for TakagiSugeno fuzzy nonlinear singular systems with time-varying delays. The nonlinear functions are assumed to satisfy the Lipschitz conditions. By constructing LyapunovKrasovskii functional with different weighted matrices, sufficient delay-dependent asymptotic stability conditions are expressed in terms of linear matrix inequalities. Further, delay decomposition approach is used to derive less conservative results. The effectiveness of the derived theoretical result is shown through numerical examples.

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New stability and stabilization criteria for a class of fuzzy singular systems with time-varying delay

Cited by 41 publications

References 33 publications

Memory feedback $${H_\infty }$$ H ∞ control of uncertain singular T–S fuzzy time-delay system under actuator saturation

Memory feedback $${H_\infty }$$ H ∞ control of uncertain singular T–S fuzzy time-delay system under actuator saturation

Robust dynamic output feedback fault-tolerant control for Takagi-Sugeno fuzzy systems with interval time-varying delay via improved delay partitioning approach

Robust Stability Analysis of Takagi–Sugeno Fuzzy Nonlinear Singular Systems with Time-Varying Delays Using Delay Decomposition Approach

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