An ILMI approach to robust \(\mathcal H_2\) static output feedback fuzzy control for uncertain discrete-time nonlinear systems

DOI10.1016/J.AUTOMATICA.2008.01.002zbMath1153.93442OpenAlexW1608766280MaRDI QIDQ999040

Huai-Ning Wu

Publication date: 30 January 2009

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2008.01.002

zbMATH Keywords

fuzzy controlLMIuncertain nonlinear systemsstatic output feedback\(\mathcal H_2\) controlTakagi and Sugeno fuzzy model

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Fuzzy control/observation systems (93C42) Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55)

Related Items (12)

Fuzzy static output feedback \(H_{\infty}\) control for nonlinear systems subject to parameter uncertainties ⋮ Robust non‐fragile H_∞ ∕ L₂ − L_∞control of uncertain linear system with time‐delay and application to vehicle active suspension ⋮ Design of distributed \(H_\infty\) fuzzy controllers with constraint for nonlinear hyperbolic PDE systems ⋮ Piecewise \(H_{\infty}\) static output feedback controller design for nonlinear systems based on T-S affine fuzzy models ⋮ Stabilization of rational nonlinear discrete-time systems by state feedback and static output feedback ⋮ Analysis and synthesis of robustH^∞static output feedback control subject to actuator saturation ⋮ Static Output Feedback Control for Interval Type‐2 <scp>T‐S</scp> Fuzzy Systems Based on Fuzzy <scp>L</scp>yapunov Functions ⋮ Non-monotonic robust H₂fuzzy observer-based control for discrete time nonlinear systems with parametric uncertainties ⋮ Robust H-infinity control for discrete-time T-S fuzzy systems with input delay ⋮ Design of static output feedback controller for fractional-order T-S fuzzy system ⋮ On LMI conditions to design robust static output feedback controller for continuous-time linear systems subject to norm-bounded uncertainties ⋮ Static output feedback design for a class of constrained Takagi-Sugeno fuzzy systems

Uses Software

• LMI toolbox

Cites Work

• Unnamed Item
• \(H_{2}\) guaranteed cost fuzzy control for uncertain nonlinear systems via linear matrix inequalities
• Robust control of discrete time uncertain dynamical systems
• Static output feedback stabilization: An ILMI approach
• Delay-dependent robust \({\mathcal H}_\infty\) of uncertain linear state-delayed systems
• Static output feedback -- a survey
• Static output-feedback fuzzy controller for Chen's chaotic system with uncertainties
• Observer-based robust fuzzy control of nonlinear systems with parametric uncertainties
• LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form
• Chaotic synchronization and controlling chaos based on contraction mappings
• Fuzzy identification of systems and its applications to modeling and control
• Linear Matrix Inequalities in System and Control Theory
• A cone complementarity linearization algorithm for static output-feedback and related problems
• Static output feedback controllers: stability and convexity
• Robust disturbance attenuation with stability for linear systems with norm-bounded nonlinear uncertainties
• A hamilton-jacobi setup for the static output feedback stabilization of nonlinear systems

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