The Transactions of the Korean Institute of Electrical Engineers A (대한전기학회논문지:전력기술부문A)

The Korean Institute of Electrical Engineers (대한전기학회)
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Robust Stability of Uncertain Linear Large-scale Systems with Time-delay via LMI Approach

LMI 기법을 이용한 시간지연 대규모 불확정성 선형 시스템의 강인 안정성

  • 이희송 (충북대 대학원 전기공학과) ;
  • 김진훈 (충북대 공대 전기전자공학부)
  • Published : 1999.10.01
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Abstract

In large-scale systems, we frequently encounter the time-delay and the uncertainty, and these should be considered in the design of controller because these are the source of the degradation of the system performance and instability of system. In this paper, we consider the robust stability of the linear large scale systems with the uncertainties and the time-delays. The considered uncertainties are both structured uncertainty and the unstructured uncertainty. Also, the considered time-delays are time-varying having finite time derivative limits. Based on the Lyapunov theorem and the linear matrix inequality(LMI) technique, we present two sufficient conditions that guarantee the robust stability of the system. The conditions are expressed as the LMI forms which can be easily checked their feasibility by using the well-known LMI control toolbox. Finally, we show by two examples that our results are less conservative than the previous results.

Keywords

References

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