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The Korean Institute of Electrical Engineers (대한전기학회)
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Stabilizing Controller Design for Time-delay Singularly Perturbed Systems by H∞ Norm and Lambert W Function

시간지연을 갖는 특이 섭동 시스템에서 H∞놈과 램버트 W 함수를 이용한 안정화 제어기 설계

  • Kim, Beomsoo (Dept. of Mechanical System Engineering, Gyeongsang National University)
  • Received : 2013.06.05
  • Accepted : 2013.07.08
  • Published : 2013.08.01
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Abstract

The stabilizing controller design problem of time-delay singularly perturbed systems is considered. The proposed approach is based on the $H_{\infty}$ norm and the composite control method. A sufficient condition for the stability of the time-delay slow subsystem is presented. Using this condition, we can construct the composite control law for the time-delay singularly perturbed system and analysis the system by the matrix Lambert W function. Illustrated examples are presented to demonstrate the validity and applicability of the proposed method.

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References

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