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

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Date

2009

Authors

Ouyang, Hua
Petersen, Ian R.
Ugrinovskii, Valery

Journal Title

Journal ISSN

Volume Title

Publisher

Institute of Electrical and Electronics Engineers Inc.

Access Statement

Research Projects

Organizational Units

Journal Issue

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.

Description

Keywords

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

Citation

URI

https://hdl.handle.net/1885/733812349

Collections

ANU Research Publications

Source

Type

Conference paper

Book Title

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

Entity type

Publication

Access Statement

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DOI

10.1109/CDC.2009.5399686

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