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New Low-Order Stabilizers and Its Application to the First-Order and PID Controllers with Time Response Specifications  

Kim, Young-Chol (충북대학교 전지전자컴퓨터공학부)
Cho, Tae-Shin ((주)테크윈 생산기술연구소)
Kim, Keunsik (아주자동차대학)
Publication Information
The Transactions of the Korean Institute of Electrical Engineers D / v.55, no.1, 2006 , pp. 1-13 More about this Journal
Abstract
This paper presents the problems of designing low-order controller for a linear time-invariant(LTI) system in parameter space, wherein both transient response requirements and stability shall be considered in the same space. For a LTI system, we, (1) develop a method determining the existence of low-order stabilizers of the first-order and PID structures, (2) develop an algorithm of finding such a stabilizing region. (3) Both procedures are carried out by means of a parametric approach in the same frame work. This leads to easily obtain a subset of controller gains from the stabilizing set, that meet good time response requirements. It is illustrated by examples.
Keywords
Low-Order Stabilizer; PID; First-Order Compensator; Time Domain Specification;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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1 M. A. Dahleh and I. J. Diaz-Bobillo, Control of Uncertain Systems: A Linear Programming Approach, Prentice Hall Publishing, Upper Saddle River, NJ, 1995
2 L. H. Keel and S. P. Bhattacharyya, 'Robust, Optimal, or Fragile?,' IEEE Trans. on Automatic Control, Vol. AC-42, pp. 1098-1105, 1997   DOI   ScienceOn
3 C. T. Chen, Analog and Digital Control System Design : Transfer- function, State space and Algebraic method, Saunders College Pub., 1993
4 K Zhou, Essentials of Robust control, Prentice-Hall, NJ, 1998
5 Y. C. Kim, L. H. Keel, and S. P. Bhattacharyya, 'Transient Response Control via Characteristic Ratio Assignment,' IEEE Trans. on Automatic Control, vol. AC-48, no.12, pp.2238-2244, Dec. 2003   DOI   ScienceOn
6 Youngchol Kim, Keunsik Kim and Shunji Manabe, Sensitivity of Time Response to Characteristic Ratios,' Proc of the 2004 American Control Conference, pp.2723-2728, Boston, USA, June, 2004
7 A. V. Lipatov and N. I. Sokolov, 'Some sufficient conditions for stability and instability of continuous linear stationary Systems,' Automation and Remote Control, Vol. 39, pp. 1285-1291, 1979
8 Shunji Manabe, 'Coefficient Diagram Method,' Proc. of IFAC Symposium on Advanced Control in Aerospace, Seoul, Korea, 2002
9 한상용, 조태신, 김영철, '단조 스텝응답을 주는 연속계 전달함수의 합성 조건: 가설,' 2003정보및제어학술회의 논문집, 춘천, 2003
10 김근식, 조태신, 김영철, '시간응답 설계규격을 만족하는 PI, PD, PID제어기 설계,' 제어. 자동화.시스템공학회지 제9권 4호, pp.259-268, 2003   과학기술학회마을   DOI
11 R. 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, Porutugal, July, 2002
12 P. Naslin, Essentials of Optimal Control, Boston Technical Publishers, Inc., 1969
13 K. S. Kim, Y. C. Kim, L. H. Keel, and S. P. Bhattacharyya, 'PID Controller Design with Response Specifications,' Proc. of the 2003 American Control Conference, Denver, Colorado, 2003   DOI
14 L. H. Keel and S. P. Bhattacharyya, 'State-space Design of Low-order Stabilizers,' IEEE Trans. on Automatic Control, Vol. AC-35, pp. 182-186, 1990   DOI   ScienceOn
15 A. Datta, M. T. Ho, and S. P. Bhattacharyya, Structure and Synthesis of PID Controllers, London, U. K. : Springer-Verlag, 2000
16 A. Linnemann, 'A Class of Single-Input Single-Output Systems Stabilizable by Reduced-order Controllers,' System & Control Letter, Vol. 11, pp. 27-33, 1988   DOI   ScienceOn
17 Q. G. Wang, T. H. Lee, and J. H. Lee, 'Low-order Stabilizers for Linear Systems,' Automatica, Vol. 33, pp. 651-654, 1997   DOI   ScienceOn
18 D. W. Gu, B. W. Choi, and I. Postlewaite, 'Low-order Stabilizing Controllers,' IEEE Trans. on Automatic control, Vol. AC-38, pp. 1713-1717, 1993   DOI   ScienceOn