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

The Korean Institute of Electrical Engineers (대한전기학회)
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Data Based Lower-Order Controller Design: Moment Matching Approach

데이터 기반 저차제어기 설계: 모멘트 정합 기법

  • Received : 20120000
  • Accepted : 20120000
  • Published : 2012.12.01
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Abstract

This paper presents a data based low-order controller design algorithm for a linear time-invariant process with a time delay. The algorithm is composed by combining an identification step based on open loop pulse test with a low-order controller design step to obtain the entire set of controllers achieving multiple performance specifications. The initial information necessary for this algorithm are merely the width and amplitude of a rectangular pulse, a controller of four types (PI, PD, PID, first-order), and design objectives. Various parametric approaches that have been developed are merged in the controller design algorithm. The resulting controller set satisfying the design objectives are displayed on the 2D and 3D graphics and thus it is very easy for us to pick a controller inside the admissible set because we can check the corresponding closed-loop performances visually.

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References

  1. K.J. Astom and T. Hagglund, Advanced PID Controllers, Instrumentation, Systems, and Automation, Society, 2006.
  2. M.A. Johnson and M. H. Moradi (Editors), PID Control: New Identification and Design Methods, Springer-Verlag, London, 2005
  3. M. Fliess and C. Join, "Model-Free Control and Intelligent PID Controllers: Toward a Possible Trivialization of Nonlinear Control?" Proc. of the 15th IFAC Symposium on System Identification, Saint-Malo, France, 2009.
  4. T. Yamamoto, K. Takao, and T. Yamada, "Design of a Data-Driven PID Controller," IEEE Trans. on Control Systems Technology, Vol. 17, No. 1, pp. 29-39, 2009 https://doi.org/10.1109/TCST.2008.921808
  5. L.H. Keel and S.P. Bhattacharyya, "Controller Synthesis Free of Analytic Models: Three Term Controllers," IEEE Trans. on Automatic Control, Vol. 53, No. 6, pp. 1353-1369, 2008 https://doi.org/10.1109/TAC.2008.925810
  6. L.H. Keel, S. Mitra, and S.P. Bhattacharyya, "Data-Driven Synthesis of Three Term Digital Controllers," SICE Journal of Control, Measurement, and Systems Integration, Vol. 1, No. 2, pp. 102-110, 2008 https://doi.org/10.9746/jcmsi.1.102
  7. K.J. Astrom and T. Hagglund, Automatic Tuning of PID Controllers, ISA, 1988.
  8. C.C. Yu, Autotuning of PID Controllers, Springer, 2003
  9. A, Datta, M.T. Ho, and S.P. Bhattacharyya, Structure and Synthesis of PID Controllers, Springer, New York, 2000
  10. S.P. Bhattacharyya, A. Datta, L.H. Keel, Linear Control Theory: Structure, Robustness and Optimization, CRC Press, 2009
  11. Y.C. Kim, L.H. Keel, and S.P. Bhattacharyya, "Transient response control via characteristic ratio assignment," IEEE Trans. on Automatic Control, Vol. 48, No. 12, pp. 2238-2244, 2003. https://doi.org/10.1109/TAC.2003.820153
  12. K.S Kim, Y.C. Kim, L.H. Keel, and S.P. Bhattacharyya, "PID Controller Design with Time Response Specifications," Proc. of the 2003 American Control Conference, Denver, Colorado, 2003.
  13. Y.C. Kim, L.H. Keel, and S.P. Bhattacharyya, "Computer Aided Control System Design: Multiple Design Objectives," Proc. of European Control Conference, July, 2007.
  14. Y.C. Kim and Lihua Jin, "Robust Identification of Continuous-Time Low-Order Models Using Moments of A Single Rectangular Pulse Response," submitted to the Journal of Process Control, Oct. 2012.
  15. I.A. Zadeh and C.A. Desoer, Linear System Theory, McGraw-Hill, 1963.
  16. A.C. Antoulas, Approximation of large-scale dynamical systems, SIAM, 2005.
  17. K. Kim and Y.C. Kim, " The complete set of PID Controllers with Guaranteed Gain and Phase Margins," Proc. of 44th IEEE Conf. on Decision and Control, and the European Control Conf. 2005, pp. 6533-6538, Seville, Spain, 2005