Browse > Article
http://dx.doi.org/10.5370/KIEE.2010.59.1.176

Practical Design Issues in a Linear Feedback Control System with a Notch Filter  

Jin, Lihua (Chungbuk National University)
Kim, Young-Chol (Chungbuk National University)
Publication Information
The Transactions of The Korean Institute of Electrical Engineers / v.59, no.1, 2010 , pp. 176-183 More about this Journal
Abstract
This paper presents some practical design issues that should be carefully considered when a notch filter is included in a linear feedback controller. A notch filter is generally used to compensate the effects of resonant modes that may result in poor performance. It is very common that the practical engineers prefer to add such a notch filter after having previously designed a feedback controller without the filter. It is known that the resulting performance by this approach is not seriously different from when a feedback controller is designed for a plant previously compensated by a notch filter. However, we will point out that there are some cases where both approaches have different performances. In order to show this, a low-order controller design using the partial model matching method has been applied to a linear time invariant (L Tn model. The results suggest that there is a tendency to achieve much better time responses in terms of reducing the overshoot and shortening the settling time, and in the frequency domain characteristics such as the sensitivity function and the stability margins when the design of a feedback controller after including a notch filter is carried out.
Keywords
Notch filter; Partial model matching; Frequency response; Time response;
Citations & Related Records

Times Cited By SCOPUS : 0
연도 인용수 순위
  • Reference
1 G.F. Franklin, J.D. Powell, and A. Emani-Naeini, Feedback Control of Dynamic Systems, Addison -Wesley, Fifth Edition, pp. 579-587, 2006.
2 P. Katz, Digital Control using Microprocessors, Prentice Hall International, pp. 216-238, 1981.
3 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.   DOI   ScienceOn
4 R.H. Middleton and S.F. Graebe, "Slow Stable Open-Loop Poles: to Cancel or Not to Cancel," Automatica, Vol. 35, No 5, pp. 877-886, 1999.   DOI   ScienceOn
5 Karl J. Astrom, Bjorn Wittenmark, Computer -Controlled Systems, Prentice-Hall, Third Edition, pp. 208-213, 1997.
6 H. Prochazka and I.D. Landau, "Pole Placement with Sensitivity Function Shaping using 2nd order Digital Notch Filters," Automatica, Vol. 39, No.6, pp. 1103-1107, 2003.   DOI   ScienceOn
7 L.H. Keel, Y.C. Kim, and S.P. Bhattacharyya, "Ch.6 Transient response control via characteristic ratio assignment," in Lecture note of the 17th IFAC World Congress Tutorial Workshop: Advances in Three Term Control, Seoul, July, 2008.
8 W. Messner and R. Oboe, "Phase Stabilized Design of a Hard Disk Drive Servo using The Complex Lag Compensator," Proc. of the 2004 American Control Conference, Vol. 2, pp. 1165-1170, 2004.
9 C.H. Cai, Z.Y. Xu, W.B. Xu and B. Feng; "Notch Filter Feedback Control in A Class of Chaotic Systems," Automatica, Vol. 38, pp. 695-701, 2002.   DOI   ScienceOn
10 Lihua Jin and Y.C. Kim, "Fixed, low-order controller design with time response specifications using non-convex optimization," ISA Transactions, Vol. 47, pp. 429-438, 2008.   DOI   ScienceOn