Journal of Institute of Control, Robotics and Systems (제어로봇시스템학회논문지)

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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A Frequency Transfer Function Synthesis of QFT Using Total Least Squares Method

완전최소자승법을 이용한 QFT의 주파수 전달함수 합성법

  • 김주식 (충북대학교 전기전자 및 컴퓨터공학부 및 컴퓨터 정보통신 연구소) ;
  • 이상혁 (부산대학교 전자전기정보컴퓨터공학부)
  • Published : 2002.08.01
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Abstract

The essential philosophy of the QFT(Quantitative Feedback Theory) is that a suitable controller can be found by loop shaping a nominal loop transfer function such that the frequency response of this function does not violate the QFT bounds. The loop shaping synthesis involves the identification of a structure and its specialization by means of the parameter optimization. This paper presents an optimization algorithm to estimate the controller parameters from the frequency transfer function synthesis using the TLS(Total Least Squares) in the QFT loop shaping procedure. The proposed method identifies the parameter vector of the robust controller from an overdetermined linear system developed from rearranging the two dimensional system matrices and output vectors obtained from the QFT bounds. The feasibility of the suggested algorithm is illustrated with an example.

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References

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