An optimal feedback regulation of nonlinear singularly perturbed systems via slow manifold approach

DOI10.1016/0005-1098(88)90014-3zbMath0629.93036OpenAlexW1965619029MaRDI QIDQ1094370

Khashayar Khorasani

Publication date: 1988

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2027.42/27477

zbMATH Keywords

slow manifoldnonlinear singularly perturbed systemsexact optimal feedback regulationexact slow optimal controlnonlinear fast actuators

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20) Stability of solutions to ordinary differential equations (34D20) Singular perturbations for ordinary differential equations (34E15)

Cites Work

• Feedback linearization of a flexible manipulator near its rigid body manifold
• Geometric singular perturbation theory for ordinary differential equations
• Recent trends in feedback design: An overview
• Quadratic-type Lyapunov functions for singularly perturbed systems
• Stabilization and regulation of nonlinear singularly perturbed systems--Composite control
• A two-stage Lyapunov-Bellman feedback design of a class of nonlinear systems
• A decomposition of near-optimum regulators for systems with slow and fast modes
• Two-time-scale feedback design of a class of nonlinear systems
• Near–Optimal Feedback Stabilization of a Class of Nonlinear Singularly Perturbed Systems
• Properties of solutions of ordinary differential equations with small parameters
• Asymptotic stability of nonlinear singularly perturbed systems using higher order corrections

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