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

The Korean Institute of Electrical Engineers (대한전기학회)
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Stability of Interval Time-delayed Linear Systems using a Switched System Approach

전환 시스템 접근법을 이용한 구간 시간지연 선형 시스템의 안정성

  • Kim, Joo-Kyeong (School of Electronics Engineering, Chungbuk National University) ;
  • Kim, Jin-Hoon (School of Electronics Engineering, Chungbuk National University)
  • 김주경 (충북 대학교 대학원 제어로봇공학과) ;
  • 김진훈 (충북대학교 전자정보대학 전자공학부)
  • Received : 2013.01.22
  • Accepted : 2013.04.08
  • Published : 2013.05.01
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Abstract

This paper considers the stability of linear systems having an interval time-varying delay using a switched system approach. The time-delay system is converted to the switched system equivalently, and then a stability criterion in the form of linear matrix inequality(LMI) is derived by using a parameter dependent Lyapunov-Krosovskii function(PD-LKF). In constructing a PD-LKF, the decomposition is employed for delay free intervals, and the reduction of conservatism is shown analytically as the number of decomposition increases. Finally, two well-known numerical examples are given to show the reduction of conservatism compared to the recent results.

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References

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