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

The Korean Institute of Electrical Engineers (대한전기학회)
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Robust Finite-time Dissipative State Feedback Controller Design for Discrete-time Uncertain Singular Systems

이산시간 불확실 특이시스템의 유한시간 강인 산일성 상태궤환 제어기 설계

  • Kim, Jong Hae (Dept. of Electronic Engineering, Sun Moon University) ;
  • Oh, Do Chang (Dept. of Medical Engineering, Konyang University)
  • Received : 2015.09.01
  • Accepted : 2015.10.29
  • Published : 2015.11.01
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Abstract

In this paper, we treat the problem of a robust finite-time dissipative state feedback controller design method for discrete-time singular systems with polytopic uncertainties. A BRL(bounded real lemma) for finite-time stability of discrete-time singular systems is derived. A finite-time dissipative state feedback controller design method satisfying finite-time stability and dissipativity is proposed by LMI(linear matrix inequality) technique on the basis of the obtained BRL. Moreover it is shown that the obtained condition can be extended into polytopic uncertain systems by proper manipulations. Finally, illustrative examples are given to show the applicability of the proposed method.

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References

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