Lifted versions of robust D-stability and D-stabilisation conditions for uncertain polytopic linear systems

D. H. Lee; J. B. Park; Y. H. Joo; K. C. Lin

doi:10.1049/iet-cta.2010.0197

Lifted versions of robust D-stability and D-stabilisation conditions for uncertain polytopic linear systems

D. H. Lee, J. B. Park, Y. H. Joo, K. C. Lin

Department of Electrical and Electronic Engineering

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

Abstract

This study aims at developing new linear matrix inequality (LMI) conditions for robust D-stability and D-stabilisation of linear time-invariant uncertain systems in polytopic domains. An existing LMI condition for robust D-stability is lifted into those of larger dimensions that are given as functions of a certain integer κ. Based on the consequent conditions, new sufficient conditions for the existence of a state-feedback control law ensuring the robust D-stability of the closed-loop system is proposed in terms of LMIs. Finally, examples are given to illustrate the benefit of the proposed methods.

Original language	English
Pages (from-to)	24-36
Number of pages	13
Journal	IET Control Theory and Applications
Volume	6
Issue number	1
DOIs	https://doi.org/10.1049/iet-cta.2010.0197
Publication status	Published - 2012 Jan 5

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Human-Computer Interaction
Computer Science Applications
Control and Optimization
Electrical and Electronic Engineering

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10.1049/iet-cta.2010.0197

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Lifted versions of robust D-stability and D-stabilisation conditions for uncertain polytopic linear systems

Abstract

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