Journal of KIEE
- Volume 11 Issue 1
- /
- Pages.14-20
- /
- 2001
- /
- 1013-0780(pISSN)
New Target Transfer Functions with No Overshoot
- Yang, Dae--Jeong (the School of Electrical & Electronics Engineering, Chungbuk National University, 48 Gaeshin-dong, Cheongju 361-763, Korea.) ;
-
Kim, Young-Chol
(the School of Electrical & Electronics Engineering, Chungbuk National University, 48 Gaeshin-dong, Cheongju 361-763, Korea.)
- Published : 2001.03.01
Abstract
To design a controller based on the pole placement method, it is necessary to obtain either a target transfer function or a desired characteristic equation which results in the closed-loop response. Specially, a step response in which no overshoot occurs in highly desirable in many applications. In this paper, we present two new present two new prototypes of Type I target transfer functions whose step responses have an overshoot of less than 0.1%. One prototype is obtained by Taylor's approximation of a Gaussian function. It is, however, observed that the response delays increase with increasing order, while the rise times are nearly constant. The other prototype is a modification of the first prototype, so that their transfer function coefficients have particular values in terms of specific parameters