Proceedings of the KIEE Conference (대한전기학회:학술대회논문집)

The Korean Institute of Electrical Engineers (대한전기학회)
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Robust Stability of Large-Scale Uncertain Linear Systems with Time-Varying Delays

시변 시간지연을 갖는 대규모 불확정성 선형 시스템의 강인 안정성

  • Kim, Jae-Sung (Dept. of Control and Instrumentation Engineering. Chungbuk National Univ.) ;
  • Cho, Hyun-Chul (Dept. of Control and Instrumentation Engineering. Chungbuk National Univ.) ;
  • Lee, Hee-Song (Dept. of Electrical Engineering. Chungbuk National Univ.) ;
  • Kim, Jin-Hoon (Dept. of Control and Instrumentation Engineering. Chungbuk National Univ.)
  • 김재성 (충북대학교 제어계측공학과) ;
  • 조현철 (충북대학교 제어계측공학과) ;
  • 이희송 (충북대학교 전기공학과) ;
  • 김진훈 (충북대학교 제어계측공학과)
  • Published : 1998.11.28
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Abstract

In this paper, we consider the problem of robust stability of large-scale uncertain linear systems with time-varying delays. The considered uncertainties are both unstructured uncertainty which is only known its norm bound and structured uncertainty which is known its structure. Based on Lyapunov stability theorem and $H_{\infty}$ theory. we present uncertainty upper bound that guarantee the robust stability of systems. Especially, robustness bound are obtained directly without solving the Lyapunov equation. Finally, we show the usefulness of our results by numerical example.

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