Achieving nonvanishing stability regions with high-gain cheap control using \(H^{\infty}\) techniques: the second-order case

DOI10.1016/S0167-6911(01)00126-8zbMath0986.93027OpenAlexW2130081331MaRDI QIDQ5958792

Tamer Başar, G. J. Toussaint

Publication date: 3 March 2002

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

Full work available at URL: https://doi.org/10.1016/s0167-6911(01)00126-8

zbMATH Keywords

controlnonlinear systemssecond-order system\(H^\infty\) controlasymptotic stability regionshigh-gain feedbackLyapunov methods

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) (H^infty)-control (93B36) Asymptotic stability in control theory (93D20)

Related Items (1)

Stability analysis via the concept of Lyapunov exponents: a case study in optimal controlled biped standing

Cites Work

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• Robust control of nonlinear systems with input unmodeled dynamics
• A constructive methodology for estimating the stability regions of interconnected nonlinear systems
• \(H^ \infty\)-optimal control and related minimax design problems. A dynamic game approach.

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