Approach to solving parameter-dependent LMI conditions based on finite number of LMI conditions

Takehito Azuma, Ryo Watanabe, Kenko Uchida

Research output: Contribution to journalConference article

25 Citations (Scopus)

Abstract

Recently many researches for Linear Parameter Varying Systems focus on the approach using a parameter-dependent Lyapunov function. Analysis and controller design for Linear Parameter Varying Systems are characterized by parameter-dependent Linear Matrix Inequalities (LMIs). In this paper, we propose an approach to solving parameter-dependent LMI conditions based on finite number of LMI conditions. The proposed method does not require any particular assumptions on the parameter dependence except continuity. We consider a class of Linear Parameter Varying Systems and apply the proposed technique on analysis of their L2gain. Finally we demonstrate its efficacy by numerical case study.

Original languageEnglish
Pages (from-to)510-514
Number of pages5
JournalProceedings of the American Control Conference
Volume1
DOIs
Publication statusPublished - 1997
EventProceedings of the 1997 American Control Conference. Part 3 (of 6) - Albuquerque, NM, USA
Duration: 1997 Jun 41997 Jun 6

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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