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

The Korean Institute of Electrical Engineers (대한전기학회)
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Delay-dependent Robust H∞ Control of Uncertain Linear Systems with Time-varying Delays and Randomly Occurring Disturbances

시변지연과 임의 발생 외란을 고려한 불확실 선형 시스템에 대한 지연의존 강인 H∞ 제어

  • Kim, Ki-Hoon (School of Electrical Engineering, Chungbuk National University) ;
  • Park, Myeong-Jin (School of Electrical Engineering, Chungbuk National University) ;
  • Kwon, Oh-Min (School of Electrical Engineering, Chungbuk National University) ;
  • Cha, Eun-Jong (Depart. of Biomedical Engineering, School of Medicine, Chungbuk National University)
  • Received : 2013.01.24
  • Accepted : 2013.03.29
  • Published : 2013.05.01
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Abstract

This paper proposes a new condition about delay-dependent robust $H_{\infty}$ control of uncertain linear systems with time-varying delay and randomly occurring disturbances. The norm bounded uncertainties are subjected to the system matrices. Based on Lyapunov stability theory, a sufficient condition for designing a controller gain such that the closed-loop systems are asymptotically stable with $H_{\infty}$ disturbance level ${\gamma}$ is formulated in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are included to show the effectiveness of the presented method.

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References

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