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

The Korean Institute of Electrical Engineers (대한전기학회)
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H∞ Control for Networked Control Systems with Randomly Occurring Packet Losses and Disturbances

임의적 패킷 손실과 외란입력을 고려한 네트워크 제어 시스템의 H∞ 제어기 설계

  • Lee, Tae H. (Dept. of Electrical Engineering, Yeungnam University) ;
  • Park, Ju H. (Dept. of Electrical Engineering, Yeungnam University) ;
  • Kwon, Oh-Min (Dept. of Electrical Engineering, Chungbuk University) ;
  • Lee, Sang-Moon (Dept. of Electronics Engineering, Daegu University)
  • Received : 2013.04.17
  • Accepted : 2013.07.23
  • Published : 2013.08.01
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Abstract

This paper considers the $H_{\infty}$ control problem for networked control systems(NCSs). In order to solve the problem which comes from discontinuous control signal in NCSs, an approach that discontinuous control signals treat time-varying delayed continuous signals is applied to achieve $H_{\infty}$ stability of NCSs. In addition, randomly occurring packet losses and disturbances are considered by introducing stochastic variables with Bernoulli distribution. Based on Lyapunov stability theory, a new stability condition is obtained via linear matrix inequality formulation to find the $H_{\infty}$ controller which achieves the mean square stability of NCSs. Finally, the proposed method is applied to a numerical example in order to show the effectiveness of our results.

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References

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