전자공학회논문지SC (Journal of the Institute of Electronics Engineers of Korea SC)

대한전자공학회 (The Institute of Electronics and Information Engineers)
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시변 시간지연을 가지는 불확실 특이시스템의 변수 종속 강인 안정성

Parameter-dependent Robust Stability of Uncertain Singular Systems with Time-varying Delays

  • 김종해 (선문대학교 전자공학과)
  • Kim, Jong-Hae (Department of Electronic Eng., Sun Moon University)
  • 투고 : 2009.11.20
  • 심사 : 2010.07.10
  • 발행 : 2010.07.25
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초록

본 논문에서는 상태에 시변 시간지연과 폴리토픽 변수 불확실성을 가지는 특이시스템을 위한 새로운 지연 종속 및 변수 종속 강인 안정성 조건을 제시한다. 새로운 변수종속 리아푸노프 함수를 기반으로 구한 강인 안정성 조건은 볼록최적화가 가능한 선형행렬부등식으로 나타난다. 제안하는 조건은 비특이시스템과 특이시스템의 강인 안정성 문제에 동시에 적용가능한 일반적인 알고리듬이다. 수치예제를 통하여 제시한 강인 안정성 조건의 타당성을 보이고, 기존의 비특이시스템의 결과들과의 비교를 통하여 제안한 조건이 덜 보수적임을 확인한다.

In this paper, we present a new delay-dependent and parameter-dependent robust stability condition for uncertain singular systems with polytopic parameter uncertainties and time-varying delay. The robust stability criterions based on parameter-dependent Lyapunov function are expressed as LMI (linear matrix inequality). Moreover, the proposed robust stability condition is a general algorithm for both singular systems and non-singular systems. Finally, numerical examples are presented to illustrate the feasibility and less conservativeness of the proposed method.

키워드

참고문헌

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