IJPAM: Volume 16, No. 1 (2004)

SEMI-GLOBAL STABILIZATION AND OUTPUT
REGULATION FOR DISCRETE-TIME SINGULAR
SYSTEMS WITH ACTUATOR SATURATION

Zhiqiang Zuo
Center for Systems and Control
Department of Mechanics and Engineering Science
Peking University
Beijing, 100871, P.R. CHINA
e-mail: zqzuo@mech.pku.edu.cn


Abstract.This paper studies the problems of semi-global stabilization and output regulation for linear discrete-time singular systems subject to actuator saturation. The singular system is first transformed into a reduced-order normal system by a standard coordinate transformation. The solvability conditions of the semi-global stabilization and the output regulation for the reduced-order normal system are verified. Furthermore, it is shown that the controller solving the stabilization (output regulation) problem for the reduced-order normal system also solves the stabilization (output regulation) problem of the original singular system.

Received: May 28, 2004

AMS Subject Classification: 93D15, 34K35, 93C10

Key Words and Phrases: actuator saturation, output regulation, coordinate transformation

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 16
Issue: 1