Quadratic stability analysis of the Takagi-Sugeno fuzzy model

DOI10.1016/S0165-0114(96)00390-9zbMath0929.93024MaRDI QIDQ1296809

Anthony Tzes, Kiriakos Kiriakidis, Apostolos Grivas

Publication date: 3 August 1999

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

zbMATH Keywords

synthesisstabilizationrobust stabilitynonlinear perturbationsquadratic stabilityconvex programmingnonlinear Takagi-Sugeno fuzzy model

Mathematics Subject Classification ID

Convex programming (90C25) Fuzzy control/observation systems (93C42) Nonlinear systems in control theory (93C10) Perturbations in control/observation systems (93C73) Adaptive or robust stabilization (93D21) Robust stability (93D09) Synthesis problems (93B50)

Related Items (13)

Robust \(H_{\infty}\) control of multiple time-delay uncertain nonlinear system using fuzzy model and adaptive neural network ⋮ Output tracking for nonlinear discrete-time systems via fuzzy control approach ⋮ Semiglobal stabilization of nonlinear systems using fuzzy control and singular perturbation methods ⋮ Generalization of stability criterion for Takagi-Sugeno continuous fuzzy model ⋮ Control laws for Takagi-Sugeno fuzzy models ⋮ Graphical and numerical approach to robust stability analysis of fuzzy modeled systems with parametric uncertainty and disturbance ⋮ Further result on passivity for discrete-time stochastic T-S fuzzy systems with time-varying delays ⋮ \(\mathcal{H}_2\) and \(\mathcal{H}_\infty\) fuzzy filters with memory for Takagi-Sugeno discrete-time systems ⋮ Fuzzy Sets and Systems. Author index volume 129 (2002) ⋮ A data-driven quadratic stability condition and its application for stabilizing unknown nonlinear systems ⋮ Relaxed stability and stabilization conditions for a T-S fuzzy discrete system ⋮ Stable controller design for T--S fuzzy systems based on Lie algebras ⋮ Constrained fuzzy controller design of discrete Takagi-Sugeno fuzzy models.

Uses Software

• LMI toolbox

Cites Work

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• Structure identification of fuzzy model
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• Parameter space design of robust control systems
• Linear Matrix Inequalities in System and Control Theory
• Convergence property of interval matrices and interval polynomials

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