Title :
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
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;
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
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5399686
