<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si0004.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mo>∞</mml:mo></mml:mrow></mml:msub></mml:math> descriptor fault detection filter design for T–S fuzzy discrete-time systems

Zhu, Xiaodan; Xia, Yuanqing

doi:10.1016/j.jfranklin.2014.09.005

Cited by 22 publications

(2 citation statements)

References 42 publications

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“…Definition II.1 [20], [23], [29]: System (2) is said to be regular if there exists s ∈ C satisfying det(sE − A ξ ) = 0. System (2) is said to be impulse-free if deg(det(sE − A ξ ) = rank(E).…”

Section: Problem Formulation and Basic Definitionsmentioning

confidence: 99%

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Admissibility Analysis and Control Synthesis for T–S Fuzzy Descriptor Systems

Zhang

2017

IEEE Trans. Fuzzy Syst.

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The problem of admissibility analysis and control synthesis for Takagi-Sugeno fuzzy descriptor systems is investigated. First, based on Nonquadratic fuzzy Lyapunov function and fully using the information of fuzzy membership functions, a new relaxed sufficient condition ensuring a fuzzy descriptor system to be admissible (regular, impulse-free, and stable) is proposed, in which it is not necessary to require every fuzzy subsystem to be stable. Second, the other sufficient condition for the admissibility is obtained without the information of time derivatives of fuzzy membership functions. Following the analysis, both parallel and nonparallel distributed compensation controllers are designed, linear matrix inequalities conditions are given to construct the controllers. Finally, some examples are provided to illustrate the main results in this paper less conservative than some earlier related results.

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Section: Problem Formulation and Basic Definitionsmentioning

confidence: 99%

“…The admissibility conditions of T-S fuzzy descriptor systems via fuzzy Lyapunov functions are derived in [28]. In [29], the problem of H ∞ descriptor fault detection filter design for T-S fuzzy discrete-time systems is studied.…”

Section: Introductionmentioning

confidence: 99%

Admissibility Analysis and Control Synthesis for T–S Fuzzy Descriptor Systems

Zhang

2017

IEEE Trans. Fuzzy Syst.

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New Condition for FD, All Filters, and New KYP Lemma

Stefanovski¹

2017

Asian Journal of Control

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This paper presents a necessary and sufficient condition for the ℋ − ∕ℋ ∞ fault detection (FD) problem, under a quite general and natural assumption. The condition is actually a constant inertia on the extended imaginary axis (EIA) of a para-hermitian rational matrix (RM). An observer solution is given. Another two main results are the presentation of all problem solutions, and a necessary and sufficient condition for constant inertia on the EIA or in a given frequency region, for a class of para-hermitian RMs, in terms of linear matrix inequalities. The latter result can be regarded as a generalization of the Kalman-Yakubovich-Popov (KYP) lemma. Key Words:Fault detection in presence of disturbances, J-spectral factorization, inertia of hermitian matrix, finite and infinite zeros.

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Fault estimate and fault‐tolerant control for hybrid systems based on the extended state method

Zhu

Xia

et al. 2022

Intl J Robust & Nonlinear

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This article solves the fault estimation and fault‐tolerant control problem for discrete‐time hybrid systems containing actuator and sensor faults. A novel extended state observer is shown to estimate states and faults of systems, simultaneously. Based on the utilized estimations, a fault‐tolerant controller is proposed so that stochastic stability of closed‐loop models with H∞$$ {H}_{\infty } $$ level is analyzed and sufficient conditions are obtained. A simulation example is given to prove this proposed strategy's effectiveness.

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H∞ descriptor fault detection filter design for T–S fuzzy discrete-time systems

Cited by 22 publications

References 42 publications

Admissibility Analysis and Control Synthesis for T–S Fuzzy Descriptor Systems

Admissibility Analysis and Control Synthesis for T–S Fuzzy Descriptor Systems

New Condition for FD, All Filters, and New KYP Lemma

Fault estimate and fault‐tolerant control for hybrid systems based on the extended state method

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