Robust \(H^{\infty}\) control of uncertain nonlinear dynamical systems via linear time-varying approximations

DOI10.1016/j.na.2005.03.030zbMath1224.93042OpenAlexW2080482227MaRDI QIDQ1000043

J. Martínez

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.03.030

zbMATH Keywords

uncertaintydisturbancerobust stabilityRiccati equationsfeedback controlnonlinear control systemsaffinestate-space\(H^{\infty }\) controltime varying plants

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear systems in control theory (93C10) (H^infty)-control (93B36) Robust stability (93D09)

Related Items (4)

OPTIMAL CONTROL OF CHAOS IN NONLINEAR DRIVEN OSCILLATORS VIA LINEAR TIME-VARYING APPROXIMATIONS ⋮ Enhancing Immune System Response Through Optimal Control ⋮ Robust \(H_{\infty }\) control for a class of switched nonlinear cascade systems via multiple Lyapunov functions approach ⋮ Tracking control of uncertain switched nonlinear cascade systems: a nonlinear \(H_\infty\) sliding mode control method

Cites Work

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• A course in \(H_{\infty}\) control theory
• The Riccati equation
• Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses
• Nonlinear delay systems, Lie algebras and Lyapunov transformations
• Linear approximations to nonlinear dynamical systems with applications to stability and spectral theory
• Approximate optimal control and stability of nonlinear finite- and infinite-dimensional systems

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