Further studies on stability and stabilization conditions for discrete-time T-S systems with the order relation information of membership functions

DOI10.1016/j.jfranklin.2015.08.015zbMath1395.93321OpenAlexW2181518850MaRDI QIDQ1660820

Yong-Min Li, Yun Zou, Yu-Ming Chu, Shengyuan Xu, Jun Chen

Publication date: 16 August 2018

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2015.08.015

zbMATH Keywords

discrete-time T-S fuzzy systemsorder relation informationstability and stabilization conditions

Mathematics Subject Classification ID

Fuzzy control/observation systems (93C42) Discrete-time control/observation systems (93C55) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Adaptive or robust stabilization (93D21)

Related Items (2)

Improvement on stability conditions for continuous-time T-S fuzzy systems ⋮ TS fuzzy robust \(\mathrm L_1\) control for nonlinear systems with persistent bounded disturbances

Cites Work

• Asymptotically necessary and sufficient stability conditions for discrete-time Takagi-Sugeno model: extended applications of Polya's theorem and homogeneous polynomials
• A fuzzy Lyapunov function approach to estimating the domain of attraction for continuous-time Takagi-Sugeno fuzzy systems
• New stability and stabilization conditions for T-S fuzzy systems with time delay
• Approaches to extended non-quadratic stability and stabilization conditions for discrete-time Takagi-Sugeno fuzzy systems
• A membership-function-dependent approach for stability analysis and controller synthesis of Takagi-Sugeno models
• Stability analysis and design of fuzzy control systems
• Auxiliary function-based integral inequalities for quadratic functions and their applications to time-delay systems
• Stability analysis and systematic design of Takagi--Sugeno fuzzy control systems
• LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form
• Asymptotically necessary and sufficient conditions for stability and performance in fuzzy control: applications of Polya's theorem
• Further studies on LMI-based relaxed stabilization conditions for nonlinear systems in Takagi-Sugeno's form
• Fuzzy identification of systems and its applications to modeling and control
• Nonquadratic Stabilization Conditions for a Class of Uncertain Nonlinear Discrete Time TS Fuzzy Models: A New Approach

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