Piecewise-linear robust control of systems with input constraints

Author

Henrion, Didier ; Garcia, Germain ; Tarbouriech, Sophie

Author_Institution

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

Volume

6

fYear

1998

fDate

21-26 Jun 1998

Firstpage

3545

Abstract

Robust stabilization of an uncertain system subject to input constraints is addressed without making open-loop stability assumptions. A local approach is taken to find a robust control law and a set of initial conditions that can be stabilized. A piecewise-linear control law generated by a parametrized algebraic Riccati equation of the H_∞ control theory is described. Once system trajectories are sufficiently close to the origin, a certain performance level is ensured through a guaranteed cost control. A simple and tractable design algorithm is proposed and illustrated by a numerical example

Keywords

H^∞ control; Riccati equations; computational complexity; nonlinear equations; piecewise-linear techniques; robust control; uncertain systems; H_∞ control theory; algebraic Riccati equation; guaranteed cost control; input constraint systems; piecewise-linear robust control; robust stabilization; tractable design algorithm; uncertain system; Algorithm design and analysis; Control systems; Control theory; Costs; Open loop systems; Piecewise linear techniques; Riccati equations; Robust control; Robust stability; Uncertain systems;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1998. Proceedings of the 1998

Conference_Location

Philadelphia, PA

ISSN

0743-1619

Print_ISBN

0-7803-4530-4

Type

conf

DOI

10.1109/ACC.1998.703271

Filename

703271