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

The Korean Institute of Electrical Engineers (대한전기학회)
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Design of Lyapunov Theory based State Feedback Controller for Time-Delay Systems

시간지연 시스템을 위한 리아푸노브 이론 기반 상태 피드백 제어기 설계

  • 조현철 (울산과학대학교 전기전자공학부) ;
  • 신찬배 (울산과학대학교 기계공학부)
  • Received : 2012.09.21
  • Accepted : 2012.12.04
  • Published : 2013.01.01
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Abstract

This paper presents a new state feedback control approach for communication networks based control systems in which control input and output observation time-delay natures are generally occurred in practice. We first establish a generic state feedback control framework based on well-known linear system theory. A maximum time-delay value which allows critical stability of whole control system are defined to make a positive definite Lyapunov function which is mathematically composed of controlled system states. We analytically derive its control parameters by using a steepest descent optimization method in order to guarantee a stability condition through Lyapunov theory. Computer simulation is numerically carried out for demonstrating reliability of the proposed NCS algorithm and a comparative study is accomplished to prove its superiority for which the traditional control approach for NCS is made use of under same simulation scenarios.

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References

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