Robust adaptive \(L_2\)-gain control of polytopic MIMO LTI systems -- LMI results

DOI10.1016/j.sysconle.2008.04.005zbMath1149.93020OpenAlexW2159246680MaRDI QIDQ958128

Fradkov, Alexander L., Dimitry Peaucelle

Publication date: 2 December 2008

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2008.04.005

zbMATH Keywords

robustnessadaptive controlpassivityLMIoutput-feedbackpolytopic systems\(L_{2}\) gain

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Control/observation systems with incomplete information (93C41) Multivariable systems, multidimensional control systems (93C35) Adaptive control/observation systems (93C40) Linear systems in control theory (93C05)

Related Items (11)

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Uses Software

• SeDuMi
• YALMIP

Cites Work

• Unnamed Item
• Simplified adaptive control via improved robust positive real conditions
• Synthesis of adaptive system of stabilization of linear dynamic plants
• A new robust D-stability condition for real convex polytopic uncertainty
• Mitigation of symmetry condition in positive realness for adaptive control
• Passification of non-square linear systems and feedback Yakubovich-Kalman-Popov lemma
• Passification-based adaptive control of linear systems: Robustness issues
• Robust simple adaptive model following for linear time-delay systems with guaranteed H  performance
• Robust adaptive LQ control schemes
• Linear Matrix Inequalities in System and Control Theory
• Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones

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