전기학회논문지 (The Transactions of The Korean Institute of Electrical Engineers)

  • 제62권8호
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  • Pages.1144-1150
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  • 2013
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  • 1975-8359(pISSN)
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  • 2287-4364(eISSN)
대한전기학회 (The Korean Institute of Electrical Engineers)
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시간지연을 갖는 특이 섭동 시스템에서 H∞놈과 램버트 W 함수를 이용한 안정화 제어기 설계

Stabilizing Controller Design for Time-delay Singularly Perturbed Systems by H∞ Norm and Lambert W Function

  • Kim, Beomsoo (Dept. of Mechanical System Engineering, Gyeongsang National University)
  • 투고 : 2013.06.05
  • 심사 : 2013.07.08
  • 발행 : 2013.08.01
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초록

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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참고문헌

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피인용 문헌

  1. Sampled-Data Controller Design for Nonlinear Systems Including Singular Perturbation in Takagi-Sugeno Form vol.26, pp.1, 2016, https://doi.org/10.5391/JKIIS.2016.26.1.050
  2. Stabilizing Controller Design for Time-Delay Pure Singularly Perturbed Systems via Lambert W Function vol.18, pp.1, 2014, https://doi.org/10.9726/kspse.2014.18.1.120