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

  • 제57권10호
  • /
  • Pages.1869-1875
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  • 2008
  • /
  • 1975-8359(pISSN)
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  • 2287-4364(eISSN)
대한전기학회 (The Korean Institute of Electrical Engineers)
권호 표지

PID 제어기의 주파수응답 기반 다목적 설계도구

Frequency Response Based Multi-Objective Design Toolbox for PID Controller

  • 발행 : 2008.10.01
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초록

Recently, a direct data-driven synthesis of a proportional integral derivative(PID) controller for a linear time-invariant(LTI) plant was presented in [1]. The authors showed that a complete set of PID controllers achieving robust performance and stability can be calculated directly from frequency response(FR) data without an identified transfer function model. However, it is not convenient to use this method because it requires complicated numerical algorithms to find specific frequencies which are solutions of an identical equation. The method also requires determination of the boundary of the controller's parameters from a finite set of FR data. In this paper, we present the development of a user-friendly Matlab toolbox based on the method in [1]. This toolbox allows us to obtain a complete three-dimensional(3-D) graphical solution of PID controllers that meet multiple design objectives. Several examples are given to demonstrate the use of the toolbox.

키워드

참고문헌

  1. L.R. Keel and S.P. Bhattacharyya, "PID Controller Synthesis Free of Analytical Models," Proc. of the 16th IFAC World Congress, Praha, Czech, 2005
  2. A. Datta, M.T. Ho, and S.P. "Bhattacharyya, Structure and Synthesis of PID Controllers," Springer, New York
  3. H. Xu, A. Datta, and S.P. Bhattacharyya, "PID Stabilization of LTI Plants with Time-Delay," Proc. of the 42nd IEEE Conference on Decision and Control, pp. 4038-4040, Maui, USA, 2003
  4. K.N. Tantaris, L.H. Keel and S.P. Bhattacharyya, "Stabilization of Continuous Time Systems by First Order Controllers," Proc. of the 10th Mediterranean Conference on Control and Automation, Lisbon, Portugal, 2002
  5. K.S. Kim and Y.C. Kim, "The Complete Set of PID Controllers with Guaranteed Gain and Phase Margins," Proc. of the 44nd IEEE Conference on Decision and Control, pp. 6533-6538, Seville, Spain, 2005
  6. M.-T. Ho, C.-Y. Lin, "PID Controller design for robust performance," IEEE Trans. on Automatic Control, Vol. 48, No. 8, pp. 1404-1409, 2003 https://doi.org/10.1109/TAC.2003.815028
  7. Y.C. Kim, L.H. Keel and S.P. Bhattacharyya, "Computer Aided Control System Design: Multiple Design Objectives," Proc. of the European Control Conference 2007, pp. 512-517, Kos, Greece, 2007
  8. K. Ogata, Discrete-time Control Systems, Prentice Hall PTR, Englewood Cliffs, NJ, 1987
  9. L. Jin, Y.C. Kim, Y. Lim, and K, Kim, "Numerical Algorithm of All stabilizing PID Controllers for Non-Parametric Model," Journal of the Research Institute for Computer and Information Communication, Vol. 15, No. 3, pp. 49-54, 2007