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

Hua Ouyang, Ian R. Petersen, Valery Ugrinovskii

Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Pages2125-2131
Number of pages7
DOIs
Publication statusPublished - 2009
Externally publishedYes
Event48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 - Shanghai, China
Duration: Dec 15 2009Dec 18 2009

Other

Other48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
CountryChina
CityShanghai
Period12/15/0912/18/09

Fingerprint

Pendulum
Pendulums
Control theory
Control Theory
Nonlinear systems
Nonlinear Systems
State feedback
State Feedback
Lemma
Lagrange
Closed-loop
Synthesis
Sufficient Conditions

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

Cite this

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 IEEE Conference on Decision and Control (pp. 2125-2131). [5399686] 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 IEEE Conference on Decision and Control. 2009. p. 2125-2131 5399686.

Research output: Chapter in Book/Report/Conference proceedingConference 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 IEEE Conference on Decision and Control., 5399686, 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 IEEE Conference on Decision and Control. 2009. p. 2125-2131. 5399686 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 IEEE Conference on Decision and Control. 2009. pp. 2125-2131
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