Browse > Article
http://dx.doi.org/10.5302/J.ICROS.2004.10.4.295

The Parametric Sensitivity Analyses of linear System Relative to the Characteristic Ratios of Coefficient(II) : K-Polynomial Case  

김영철 (충북대학교 전기전자컴퓨터공학부)
김근식 (대천대학 인터넷정보계열)
Publication Information
Journal of Institute of Control, Robotics and Systems / v.10, no.4, 2004 , pp. 295-303 More about this Journal
Abstract
Previously it has been shown that the all pole systems resulting good time responses can be characterized by so called K-polynomial. The polynomial is defined in terms of the principal characteristic ratio $\alpha_1$ and the generalized time constant $\tau$ . In this paper, Part II presents several sensitivity analyses of such systems with respect to $\alpha_1$ and $\tau$ changes. We first deal with the root sensitivity to the perturbation of $\alpha_1$ . By way of determining the unnormalized function sensitivity, both time response sensitivity and frequency response sensitivity are derived. Finally, the root sensitivity relative to $\tau$ change is also analyzed. These results provide some useful insight and background theory when we select of and l to compose a reference model of which denominator is a K-polynomial, which is illustrated by examples.
Keywords
sensitivity; time response; k-polynomial; generalized time constant;
Citations & Related Records
Times Cited By KSCI : 4  (Citation Analysis)
연도 인용수 순위
1 C. T. Chen, Analog and Digital Control System Design : Transfer-function, State space and Algebraic methods, Sauders College Publishing, 1993
2 D. Swaroop, 'On the synthesis of controllers for continuous time LTl systems that achieve a non-negative impulse response,' Automatica, vol. 39, pp. 159-165, 2003   DOI   ScienceOn
3 K. J. Astrom, 'Limitations on control system performance,' Proc. of 1997 European Control Conference, pp. TU E E4, Brussels, Belgium, July, 1997
4 K. S Kim, Y. C. Kim, L. H. Keel, and S. P. Bhattacharyya, 'PID controller design with response specifications,' Proceeding of the 2003 American Control Conference, Denver, Colorado, 2003   DOI
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
6 G. C. Goodwin, S. F. Graebe, and M. E. Salgado, Control System Design, Prentice Hall PTR, Upper Saddle River, NJ, 2001
7 P. Naslin, Essentials of Optimal Control, Boston Technical Publishers, Inc., Cambridge, M.A., 1969
8 S. Manabe, 'Coefficient diagram method,' Proceedings of the 14th IFAC Symposium on Automatic Control in Aerospace, pp. 199-210, Seoul, Korea, 1998
9 Y. C. Kim, L. H. Keel, and S. Manabe, 'Controller design for time domain specifications,' Proc. of IFAC World Congress, Barcelona, Spain, July, 2002
10 김근식, 조태신, 김영철, '시간응답 설계규격을 만족하는 PI,PD,PID제어기 설계,' 제어·자동화·시스템공학논문지, 제9권 4호, pp. 259-268, 2003   과학기술학회마을   DOI
11 Y. C. Kim, L. H. Keel, and S. P. Bhattacharyya, 'Charateristic ratio assignment method and an application to a benchmark problem', Proceeding of IFAC Symposium on Robust Control Design, Milan, Italy, June, 2003
12 K. S. Kim, Y. T. Woo, Y. C. Kim, 'Design of first order controllers with time domain specifications', International Conference on Control, Automation, and Systems, pp. 1-7, Geongju, Korea, 2003
13 L. P. Huelsman, Active and Passive analog Filter Design - An Introduction, McGraw-Hill Book Company, 1993
14 김근식, 김영철, '계수의 특성비에 대한 선형시스템의 파라미터적 감도해석(Ⅰ),' 제어·자동화·시스템공학논문지, 제 10권 3호, pp. 205-215. 2004   과학기술학회마을   DOI
15 H. Chestnut and R W. Mayer, Servomechanisms and Regulating System Design, vol. 1, John Wiley & Sons, Inc., New York, NY, 1959