Control of singularly perturbed systems by bounded control

Author

Garcia, Germain ; Tarbouriech, Sophie

Author_Institution

Lab. d´´Autom. et d´´Anal. des Syst., CNRS, Toulouse, France

Volume

5

fYear

2003

fDate

4-6 June 2003

Firstpage

4482

Abstract

This paper addresses the control design problem for linear singularly perturbed systems subject to bounded control. The singular perturbation method is used to define reduced and well-behaved control problems. Constructive geometric conditions are proposed to derive a stabilizing controller in both a composite or reduced contexts and a set of admissible initial state from which the closed-loop stability is ensured. Convex optimization problems with LMI constraints are proposed in order to select the feedback gain allowing to enlarge the region of stability. An illustrative example shows the effectiveness of the proposed techniques.

Keywords

closed loop systems; constraint theory; control system synthesis; feedback; linear matrix inequalities; linear systems; optimisation; singularly perturbed systems; stability; LMI constraints; admissible initial state; bounded control; closed-loop stability; constructive geometric conditions; control design; convex optimization problems; feedback gain; linear matrix inequalities; linear singularly perturbed system; stabilizing controller; Actuators; Constraint optimization; Control design; Control systems; Feedback; Nonlinear control systems; Open loop systems; Perturbation methods; Stability; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2003. Proceedings of the 2003

ISSN

0743-1619

Print_ISBN

0-7803-7896-2

Type

conf

DOI

10.1109/ACC.2003.1240547

Filename

1240547