A LMI Approach to H-infinity Optimal Stablization of Impulsive Dynamical Systems in Uncertain conditions

Xu, Honglei; Teo, Kok

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Authors

Xu, Honglei

Teo, Kok

Date

2007

Type

Conference Paper

Metadata

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Citation

Xu, Honglei and Teo, Kok Lay. 2007. A LMI Approach to H-infinity Optimal Stablization of Impulsive Dynamical Systems in Uncertain conditions, in M. Fukushima (ed), Optimization: Techniques and Applications, Dec 12 2007, pp. 123-124. Kobe, Japan: Universal Academy Press

Source Title

Optimization: Techniques and Applications

Source Conference

Optimization: Techniques and Applications

ISBN

9784946443152

Faculty

School of Science and Computing

Department of Mathematics and Statistics

Faculty of Science and Engineering

URI

http://hdl.handle.net/20.500.11937/23839

Collection

Curtin Research Publications

Abstract

In this paper, we consider the H-infinity optimal control problem for a class of impulsivedynamical systems with time-varying uncertainty. Based on the linear matrix inequalityapproach, we derive the sufficient conditions to ensure both internal asymptotical stability andH-infinity optimal performance of the impulsive closed-loop system and present acorresponding linear time-invariant stabilizing control law. Finally, a numerical example isgiven to illustrate the effectiveness of the feedback control law.