Abstract
This paper presents a new algorithm of the closed-loop composite control for singularly perturbed nonlinear systems with respect to performance criteria, using the successive Galerkin approximation(SGA). The singularly perturbed nonlinear system is decomposed into two subsystems of a slow-time scale and a fast-time scale by the singular perturbation theory, and two optimal control laws are obtained to each subsystem using the SGA method. The composite control law that consists of two optimal control laws of each subsystem is designed. One of the purposes of this paper is to design the closed-loop composite control law for the singularly perturbed nonlinear systems via the SGA method. The other is to reduce the computational complexity when the SGA method is applied to the high order systems.
Original language | English |
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Pages (from-to) | 247-258 |
Number of pages | 12 |
Journal | Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms |
Volume | 10 |
Issue number | 1-3 |
Publication status | Published - 2003 Feb |
Keywords
- Composite control
- Near-optimal control
- Nonlinear system
- Singular perturbation
- Successive Galerkin Approximation
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics