A fuzzy Lyapunov function approach for stabilization and \(\mathcal{H}_\infty\) control of switched TS fuzzy systems

DOI10.1016/j.apm.2014.03.034zbMath1449.93162OpenAlexW1964508786MaRDI QIDQ1634033

Vilma A. Oliveira, Michele C. Valentino, Flávio A. Faria

Publication date: 17 December 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2014.03.034

zbMATH Keywords

linear matrix inequalities\(\mathcal{H}_\infty\) controlfuzzy Lyapunov functionsstate feedback designswitched TS fuzzy system

Mathematics Subject Classification ID

Feedback control (93B52) Fuzzy control/observation systems (93C42) Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) (H^infty)-control (93B36) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (7)

Sufficient conditions in terms of linear matrix inequalities for guaranteed ultimately boundedness of solutions of switched Takagi-Sugeno fuzzy systems using the S-procedure ⋮ H_∞ Control design for discrete‐time nonlinear delayed systems ⋮ Dwell-time-dependent memory based state feedback controller design for switched Takagi-Sugeno fuzzy nonlinear systems ⋮ Stability analysis and state feedback control of continuous-time T-S fuzzy systems via anew switched fuzzy Lyapunov function approach ⋮ Stability analysis of Takagi-Sugeno systems using a switched fuzzy Lyapunov function ⋮ Ultimate boundedness sufficient conditions for nonlinear systems using TS fuzzy modelling ⋮ Interval type-2 regional switching T-S fuzzy control for time-delay systems via membership function dependent approach

Uses Software

• SeDuMi
• YALMIP

Cites Work

• Unnamed Item
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• Stabilization of switching Takagi–Sugeno systems by switched Lyapunov function
• Reducing the conservatism of LMI-based stabilisation conditions for TS fuzzy systems using fuzzy Lyapunov functions
• Robust fuzzy \(H^\infty\) control for uncertain nonlinear systems via state feedback: An LMI approach

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