A new design method for regulator problems for singularly perturbed systems with constrained control

Author

Tuan, H.D. ; Hosoe, S.

Author_Institution

Dept. of Electron. Mech. Eng., Nagoya Univ., Japan

Volume

42

Issue

2

fYear

1997

fDate

2/1/1997 12:00:00 AM

Firstpage

260

Lastpage

264

Abstract

A new design method for regulator problems for singularly perturbed systems is proposed in this paper. In contrast to previous papers using the Riccati equation approach and composite controls, a direct control without any Riccati equation is presented. It is applicable to solving a regulator problem for time invariant and time-varying systems with unconstrained controls as well as with constrained controls. The approach is based on a version of the Tikhonov theorem in L₂ for solutions of singularly perturbed systems to be proved in the paper and some techniques of sensitivity analysis for optimization with strictly convex objective functions

Keywords

Riccati equations; control system synthesis; optimal control; optimisation; sensitivity analysis; singularly perturbed systems; time-varying systems; Riccati equation; Tikhonov theorem; constrained control; convex objective functions; optimal control; optimization; sensitivity analysis; singularly perturbed systems; time invariant systems; time-varying systems; Automatic control; Control systems; Design methodology; Feedback; Predictive control; Predictive models; Regulators; Riccati equations; Stability; Time varying systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.554407

Filename

554407