An optimal feedback regulation of nonlinear singularly perturbed systems via slow manifold approach
DOI10.1016/0005-1098(88)90014-3zbMath0629.93036OpenAlexW1965619029MaRDI QIDQ1094370
Publication date: 1988
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/2027.42/27477
slow manifoldnonlinear singularly perturbed systemsexact optimal feedback regulationexact slow optimal controlnonlinear fast actuators
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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