&lt;I&gt;H&lt;/I&gt;θ Control for Fuzzy Descriptor Systems Based on Fuzzy Lyapunov Function Approach

袁宇浩,; 张庆灵,; 陈兵,; Liu, Chao

doi:10.3724/sp.j.1004.2008.00929

Cited by 5 publications

(10 citation statements)

References 5 publications

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“…Lemma 1 (see [28]). Given the piecewise continuous matrix A(t) ∈ R n×n ; if there exist the norm-bounded time-varying matrix P(t) ∈ R n×n and a scalar α > 0 such that…”

Section: Complexitymentioning

confidence: 99%

Finite-Time Admissibility and Controller Design for T-S Fuzzy Stochastic Singular Systems with Distinct Differential Term Matrices

Qiao

2021

Complexity

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The finite-time admissibility analysis and controller design issues for extended T-S fuzzy stochastic singular systems (FSSSs) with distinct differential term matrices and Brownian parameter perturbations are discussed. When differential term matrices are allowed to be distinct in fuzzy rules, such fuzzy models can describe a wide class of nonlinear stochastic systems. Using fuzzy Lyapunov function (FLF), a new and relaxed sufficient condition is proposed via strict linear matrix inequalities (LMIs). Different from the existing stability conditions by FLF, the derivative bounds of fuzzy membership functions are not required in this condition. Based on admissibility analysis results, a design method for parallel distribution compensation (PDC) controller of FSSSs is given to guarantee the finite-time admissibility of the closed-loop system. Finally, the feasibility and effectiveness of the proposed methods in this article are illustrated with three examples.

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“…Lemma 1 (see [28]). Given the piecewise continuous matrix A(t) ∈ R n×n ; if there exist the norm-bounded time-varying matrix P(t) ∈ R n×n and a scalar α > 0 such that…”

Section: Complexitymentioning

confidence: 99%

Finite-Time Admissibility and Controller Design for T-S Fuzzy Stochastic Singular Systems with Distinct Differential Term Matrices

Qiao

2021

Complexity

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“…The stability problem for discrete-time fuzzy descriptor systems was studied in [28,29] and the dissipativity problem was studied in [30]. Most of the results mentioned above were based on the common Lyapunov method and the fuzzy Lyapunov function was used in [31] to solve the admissible problem of the fuzzy descriptor system. Moreover, an efficient performance monitoring scheme for vehicle suspension system has been proposed in [32] via fuzzy positivistic C-means clustering based on accelerometer measurements.…”

Section: Introductionmentioning

confidence: 99%

Pole placement with LMI constraint of fuzzy descriptor system

Wang

Bai

et al. 2015

Journal of the Franklin Institute

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“…The stability problem for discrete-time fuzzy descriptor systems were studied in [12,13] and the dissipativity problem was studied in [14]. Most of the results mentioned above were based on the common Lyapunov method and the fuzzy Lyapunov function was used in [15] to solve the admissible problem of the fuzzy descriptor system.…”

Section: Introductionmentioning

confidence: 99%

D stabilization of the fuzzy singular systems

Bai

Liu

et al. 2015

2015 34th Chinese Control Conference (CCC)

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This paper investigates the pole placement problem for a class of fuzzy descriptor system. Firstly, based on the fuzzy Lyapunov function approach and with the introduction of some free matrices, a new sufficient condition for the fuzzy descriptor system to be D stable is presented. Then based on this new condition, a controller design method is proposed to guarantee the poles of the closed-loop system lying in a given LMI region. At last, numerical example is given to show the efficiency of the proposed approach.Index Terms-Fuzzy descriptor system; pole placement; linear matrix inequality region

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<I>H</I>θ Control for Fuzzy Descriptor Systems Based on Fuzzy Lyapunov Function Approach

Cited by 5 publications

References 5 publications

Finite-Time Admissibility and Controller Design for T-S Fuzzy Stochastic Singular Systems with Distinct Differential Term Matrices

Finite-Time Admissibility and Controller Design for T-S Fuzzy Stochastic Singular Systems with Distinct Differential Term Matrices

Pole placement with LMI constraint of fuzzy descriptor system

D stabilization of the fuzzy singular systems

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