A Scheduling Algorithm for Constrained Control Systems: An Approach Based on a Parameter Dependent Lyapunov Function

Author

Wada, Nobutaka ; Saeki, Masami

Author_Institution

Hiroshima Univ., Hiroshima

fYear

2007

fDate

9-13 July 2007

Firstpage

5200

Lastpage

5205

Abstract

We propose a gain-scheduling control algorithm for locally stabilizing a discrete-time linear system with input saturation. The proposed control law has a structure that a high-gain control law and a low-gain control law are interpolated by using a single scheduling parameter. The closed-loop stability is guaranteed by using a parameter dependent Lyapunov function (PDLF). The scheduling parameter is computed on-line by solving a convex optimization problem with LMI constraints.

Keywords

Lyapunov methods; closed loop systems; convex programming; discrete time systems; linear matrix inequalities; linear systems; scheduling; stability; LMI constraints; closed-loop stability; constrained control systems; convex optimization problem; discrete-time linear system; gain-scheduling control algorithm; parameter dependent Lyapunov function; scheduling algorithm; single scheduling parameter; Asymptotic stability; Cities and towns; Constraint optimization; Control system synthesis; Control systems; Eigenvalues and eigenfunctions; Linear systems; Lyapunov method; Processor scheduling; Scheduling algorithm;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2007. ACC '07

Conference_Location

New York, NY

ISSN

0743-1619

Print_ISBN

1-4244-0988-8

Electronic_ISBN

0743-1619

Type

conf

DOI

10.1109/ACC.2007.4282291

Filename

4282291