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A Loop Shaping Method of PID Controller for Time delay Systems  

Yun Seong o (삼성 에스원 기술연구소)
Suh Byung suhl (한양대학교 전자전기컴퓨터공학부)
Abstract
Optimal control gain for time-delay systems is made by an optimal control gain for delay-free systems multiplied by a state transition function for the delay time. The optimal control gain for delay-free systems is obtained by pushing two zeros of the PID controller closely to a larger pole of the second order plant. Thus the optimal tuning of PID controller for time-delay second order system is able to be obtained by calculation for the state transition function.
Keywords
Time delay System; PID controller; LQR; Loop Shaping; Robust Control;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 G. Sein and J. Doyle, 'Robustness with Observers', IEEE Trans. on Auto. Control, AC-24, pp. 607-611, 1979
2 J. Doyle, K. Glover and P.P. Khargonekar and B.A. Francis, 'State space solutions to standard $H^2$ and $H\infty$ control problems', IEEE Trans. Auto. Control, AC-34, pp. 831-847, 1989
3 Y. Shih, 'On the weighting factors of the quadratic criterion on optimal control', J. Control, Vol. 19, No.5, pp.947-955, 1974   DOI   ScienceOn
4 G. Zames, 'Feedback and Optimal Sensitivity', IEEE Trans. On Auto. Control, AC-26, pp.301-320, 1981
5 윤성오, 서병설, '강인한 최적 PID 제어기 설계를 위한 새로운 류프 형성 기법', 한국통신학회논문지 28권, 11C호, pp1.1062-1069, 2003
6 J. He, Q. Wang and T. Lee, 'PI/Pill controller tuning via LQR approach', Chemical Engineering Science 55, pp. 2429-2439, 2000   DOI   ScienceOn