A pseudo-H∞ control theory and its application to the control of pendulum-like nonlinear systems

Author

Ouyang, Hua ; Petersen, Ian R. ; Ugrinovskii, Valery

Author_Institution

Sch. of Inf. Technol. & Electr. Eng., Univ. of New South Wales, Canberra, ACT, Australia

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

2125

Lastpage

2131

Abstract

This paper studies the problem of control of pendulum-like nonlinear systems to achieve closed-loop Lagrange stability. A state feedback pseudo-H_∞ control theory is developed. In a similar fashion to the strict bounded real lemma in H_∞ control theory, a strict pseudo-bounded real lemma is established. A sufficient condition for the synthesis of the state feedback pseudo-H_∞ control is given, which is also applied to the control of pendulum-like nonlinear systems.

Keywords

H^∞ control; closed loop systems; control theory; nonlinear control systems; pendulums; stability; state feedback; uncertain systems; closed loop lagrange stability; pendulum-like nonlinear systems control; state feedback pseudo-H_∞ control theory; strict pseudo-bounded real lemma; Australia; Control system synthesis; Control systems; Control theory; Lagrangian functions; Nonlinear control systems; Nonlinear systems; Riccati equations; Stability criteria; State feedback; Lagrange stability; Pendulum-like Nonlinear System; Pseudo-H∞ control; Strict Pseudo-bounded Real Lemma;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Conference_Location

Shanghai

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5399686

Filename

5399686