Browse > Article

The Digital Controller Design using Multirate Discretization  

박종우 (재능대학 정보통신계열)
곽칠성 (재능대학 정보전자계열)
Abstract
A common way to design a digital control system is to design an analog controller first and discretize it for digital implemention. In this paper, optimal digital controller design is studied within the framework of sampled -data control theory. In particular, multirate discretization of analog controller is considered using an Η$_2$optimality criterion. Solutions are obtained via multirate H2 optimization with a causality constraint due to the multirate structure. In design example, the comparison of the proposed methods is made with the conventional discretization methods, and demonstrate the superiority of the multirate design method.
Keywords
Citations & Related Records
연도 인용수 순위
  • Reference
1 N. Rafee, T.Chen and O.P.Malik, ' Multirate discretization of analog contrillers', Proceedings of IEEE Canadian Conference on Electrical and Computer Engineering, pp. 554-557, May 1996
2 J.P. Keller and B.D.O. Anderson, 'A new approach to the discretization of continuous- time controllers,' Proceedings of the 29th Con- ference on Decision and Control, pp. 1781-1785, 1990
3 I. postlethwaite, J.M. Edmunds. and A.G.J. Macfarlane. 'Principal gains and principal phases in the analysis of linear multivariable feedback systems.' IEEE Transactions on Automatic Control, vol. 26, pp. 32-46, 1981   DOI
4 박종우, 곽칠성, '2관성 시스템의 혼합 $H_2/H_\infty$ 디지털 제어', 한국통신학회 2000-12 Vol. 25, No. 12T, pp. 235-240, 2000
5 박종우, 이상철, 이상효 '도립진자 시스템의 LFR에 의한 LMI 혼합 $H_2/H_\infty$ 제어' 한국 통신학회 논문지, 제 25권, 제7A호, pp. 967 - 977, 2000
6 박종우, '샘플치 시스템의 혼합 $H_2/H_\infty$ 제어' 광운대학교 대학원 박사학위 논문, 1999
7 K. Chongsrid and S. Hara, 'Stable controller reduction for sampled-data systems', Procee- dings of the 33rd Conference on Decision and Control, pp. 2708-2713. Dec 1994
8 T.Chen and B.A. Francis, 'Optimal Sampled-data Control Systems', Springer-Verlag, London, 1995