Robust fuzzy control for uncertain discrete-time nonlinear Markovian jump systems without mode observations

DOI10.1016/j.ins.2006.07.031zbMath1120.93337OpenAlexW2049091683MaRDI QIDQ865926

Kai-Yuan Cai, Huai-Ning Wu

Publication date: 20 February 2007

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2006.07.031

zbMATH Keywords

robust controlfuzzy controlstochastic stabilitylinear matrix inequality (LMI)uncertain nonlinear systemsMarkovian jump parameters

Mathematics Subject Classification ID

Fuzzy control/observation systems (93C42) Nonlinear systems in control theory (93C10) Control/observation systems with incomplete information (93C41) Discrete-time control/observation systems (93C55) Variable structure systems (93B12) Stochastic stability in control theory (93E15)

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Uses Software

• LMI toolbox

Cites Work

• Unnamed Item
• Unnamed Item
• \(H_{2}\) guaranteed cost fuzzy control for uncertain nonlinear systems via linear matrix inequalities
• Robust control of a class of uncertain nonlinear systems
• Stability results for discrete-time linear systems with Markovian jumping parameters
• \(H_\infty\)-control for Markovian jumping linear systems with parametric uncertainty
• LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form
• Improved \(\mathcal H_{\infty}\) control of discrete-time fuzzy systems: a cone complementarity linearization approach
• Robust \(H_{\infty}\) control for discrete-time fuzzy systems via basis-dependent Lyapunov functions
• Reliable mixed \(\mathcal L_{2}/\mathcal H_{\infty}\) fuzzy static output feedback control for nonlinear systems with sensor faults
• A convex programming approach to H2 control of discrete-time markovian jump linear systems
• H infinity Control of nonlinear discrete-time systems based on dynamical fuzzy models
• Fuzzy identification of systems and its applications to modeling and control
• Controllability, observability and discrete-time markovian jump linear quadratic control
• Linear Matrix Inequalities in System and Control Theory
• Mixed H/sub 2//H/sub ∞/-control of discrete-time Markovian jump linear systems
• Robust control for Markovian jumping discrete-time systems
• Stabilization of jump linear gaussian systems without mode observations
• A bounded real lemma for jump systems

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