Browse > Article

A New Loop Shaping Method for Design of Robust Optimal PID Controller  

윤성오 (삼성 에스원 기술연구소)
서병설 (한양대학교 전자전기컴퓨터공학부)
Abstract
This paper presents a new loop shaping technique for design of robust optimal PID controllers in order to satisfy the performance requirements. PID controller can be designed by selecting the suitable weighting factors Q and R. This technique is developed by pushing all two zeros formed by PID controller closely to a larger pole of the second order plant. As a result, a good loop shaping is achieved in the high frequencies region on the Bode plot. For the robust optimal tuning of PID controller for second order system, a new loop shaping procedure is developed via LQR approach.
Keywords
PID controller; LQ; Loop Shaping; Robust Control; Optimal Control;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 J. Doyle, K. Glover and P.P. Khargonekar and B.A. Francis, 'State space solutions to standard HU2 and $H^{\infty}$ control problems', IEEE TransAuto. Control, AC-34. pp. 831-847, 1989   DOI   ScienceOn
2 C. Mattezzoni and P. Rocco, 'Robusttuning of PID Regulators Based onStep-Response Identification', EuropeanJ. ofContr. 3, pp. 125-136, 1997
3 김정곤, 서병설, '루프 형성 기법을 이용한 최적 강인 PID 제어기 동조', 대한전자공학회 논문지 제39권, p1-5, 2002
4 Elena Grassi and Kostas S. Tsakalis.'PID Controller Tuning by FrequencyLoop-Shaping', Proceedings of the 35th IEEE Conference on Decision &Control, pp 4776-4781, 1996
5 H. Panagopoulos and K.J. $\AA$str$\circ$m,' PID Control Design and H$H\infty$ LoopShaping', Proceedings of the 1999 IEEEInternational Conference an ControlApplications, pp. 103-108. 1999
6 G. Sein and J. Doyle, 'Robustness with Observers', IEEE Trans. on Auto. Control. AC-24, pp. 607-611, 1979   DOI
7 G. Zames. 'Feedback and OptimalSensitivity', IEEE Trans. On Auto.Control, AC-26. pp. 301-320, 1981   DOI
8 M. Ghmble, ' $H\infty$' controllers with a PIDstructure'. J. of Dynamic Syst. Meas.And contr., 112, pp. 325-336. 1990   DOI
9 Elena Grassi, Kostas S. Tsakalis,Sachi Dash, Sujit V. Gaikwad, Ward MacArthur, and Gunter Stein,'Integrated System Identification and PID Controller Tuning by FrequencyLoop-Shaping', IEEE Trans. Contr.Syst. Technol., vo1.9. no.2, pp. 285-294, 2001
10 Athans M., Lecture Note onMultivariable Control System, M.I.T.Ref. No.860224/6234, 1986
11 K. J. $\AA$str$\circ$m and K. J. Hagglun PID Controllers.' Theory, Design, andTuning. 2nd ed. Research ThanglePark, NC:ISA, 1995
12 B. Suh, 'Robust Optimal Tunning of PID Regulators for a Second OrderSystem', 14th International Conf. onSys. Science. pp. 313-319, WroctawPoland, Sep., 2001