Piecewise-Takagi-Sugeno asymptotically exact estimation of the domain of attraction of nonlinear systems

DOI10.1016/j.jfranklin.2016.11.033zbMath1355.93038OpenAlexW2560250621MaRDI QIDQ508354

Temoatzin González, Ruben Robles, Miguel Bernal, Antonio Sala

Publication date: 10 February 2017

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

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2016.11.033

zbMATH Keywords

stability analysislinear matrix inequalitiesnonlinear systemsdomain of attractionpiecewise affine Takagi-Sugeno models

Mathematics Subject Classification ID

Fuzzy control/observation systems (93C42) Nonlinear systems in control theory (93C10) Attainable sets, reachability (93B03)

Related Items (3)

Arc length based maximal Lyapunov functions and domains of attraction estimation for polynomial nonlinear systems ⋮ Stability analysis of Takagi-Sugeno systems using a switched fuzzy Lyapunov function ⋮ A generalised integral polynomial Lyapunov function for nonlinear systems

Uses Software

• SeDuMi

Cites Work

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• Improvement on stability conditions for continuous-time T-S fuzzy systems
• Progressively better estimates of the domain of attraction for nonlinear systems via piecewise Takagi-Sugeno models: stability and stabilization issues
• Non-conservative matrix inequality conditions for stability/stabilizability of linear differential inclusions
• A non-quadratic Lyapunov functional for \(H_\infty\) control of nonlinear systems via Takagi-Sugeno models
• Polytopic invariant and contractive sets for closed-loop discrete fuzzy systems
• Fault detection of discrete-time T-S fuzzy affine systems based on piecewise Lyapunov functions
• Linear Matrix Inequalities in System and Control Theory
• Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
• Control Applications of Sum of Squares Programming

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