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

Hua Ouyang; Ian R. Petersen; Valery Ugrinovskii

doi:10.1109/CDC.2009.5399686

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

Hua Ouyang, Ian R. Petersen, Valery Ugrinovskii

School of Engineering and Digital Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Citations (Scopus)

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.

Original language	English
Title of host publication	Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Pages	2125-2131
Number of pages	7
DOIs	https://doi.org/10.1109/CDC.2009.5399686
Publication status	Published - 2009
Event	48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 - Shanghai, China Duration: Dec 15 2009 → Dec 18 2009

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0191-2216

Other

Other	48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Country	China
City	Shanghai
Period	12/15/09 → 12/18/09

Keywords

Lagrange stability
Pendulum-like nonlinear system
Pseudo-H control
Strict Pseudo-bounded real lemma

ASJC Scopus subject areas

Control and Systems Engineering
Modelling and Simulation
Control and Optimization

Access to Document

10.1109/CDC.2009.5399686

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Ouyang, H., Petersen, I. R., & Ugrinovskii, V. (2009). A pseudo-H_∞ control theory and its application to the control of pendulum-like nonlinear systems. In Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 (pp. 2125-2131). [5399686] (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2009.5399686

A pseudo-H_∞ control theory and its application to the control of pendulum-like nonlinear systems. / Ouyang, Hua; Petersen, Ian R.; Ugrinovskii, Valery.

Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. 2009. p. 2125-2131 5399686 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Ouyang, H, Petersen, IR & Ugrinovskii, V 2009, A pseudo-H_∞ control theory and its application to the control of pendulum-like nonlinear systems. in Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009., 5399686, Proceedings of the IEEE Conference on Decision and Control, pp. 2125-2131, 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009, Shanghai, China, 12/15/09. https://doi.org/10.1109/CDC.2009.5399686

Ouyang H, Petersen IR, Ugrinovskii V. A pseudo-H_∞ control theory and its application to the control of pendulum-like nonlinear systems. In Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. 2009. p. 2125-2131. 5399686. (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2009.5399686

Ouyang, Hua ; Petersen, Ian R. ; Ugrinovskii, Valery. / A pseudo-H_∞ control theory and its application to the control of pendulum-like nonlinear systems. Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. 2009. pp. 2125-2131 (Proceedings of the IEEE Conference on Decision and Control).

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