Stabilization for a class of non-affine systems via reduced-order dynamic output feedback

Author

Lu, Guoping ; Zheng, Yufan

Author_Institution

Dept. of Appl. Math., Nantong Inst. of Technol., Jiangsu, China

Volume

3

fYear

2003

fDate

9-12 Dec. 2003

Firstpage

2047

Abstract

Sufficient conditions of global stabilization for a class of multi-input and multi-output continuous-time and/or discrete-time nonlinear systems are presented. The systems discussed in this work are not necessarily affine in input, but they may possess Lyapunov stable control-free dynamics. The stabilizing controllers introduced in the paper are dynamic output feedbacks based on reduced-order state observer. The asymptotic stability of the closed loop system is checked using LaSalle´s invariance principle. By means of Lyapunov approach a separation principle is established for the design of feedback control law and observer in the stabilizing dynamic output controller, respectively.

Keywords

MIMO systems; asymptotic stability; closed loop systems; continuous time systems; discrete time systems; feedback; invariance; nonlinear control systems; reduced order systems; LaSalle invariance principle; Lyapunov stable control-free dynamics; asymptotic stability; closed loop system; discrete-time nonlinear systems; dynamic output feedbacks; global stabilization condition; multiinput and multioutput continuous-time systems; nonaffine systems; reduced-order dynamic output feedback; reduced-order state observer; Asymptotic stability; Closed loop systems; Control systems; Feedback control; Mathematics; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Output feedback; State feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2003. Proceedings. 42nd IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-7924-1

Type

conf

DOI

10.1109/CDC.2003.1272918

Filename

1272918