Transient response control via characteristic ratio assignment

2003 ◽  
Vol 48 (12) ◽  
pp. 2238-2244 ◽  
Author(s):  
Y.C. Kim ◽  
L.H. Keel ◽  
S.P. Bhattacharyya
Keyword(s):  
Transient Response ◽  
Response Control ◽  
Characteristic Ratio

Transient Response Control of Two-Mass System via Polynomial Approach

2014 ◽  
Vol 136 (6) ◽  
Author(s):  
Yue Qiao ◽  
Junyi Cao ◽  
Chengbin Ma
Keyword(s):  
Time Constant ◽  
Transient Response ◽  
Controller Design ◽  
Polynomial Method ◽  
Transient Responses ◽  
Mass System ◽  
Response Control ◽  
Characteristic Ratio ◽  
Starting Point ◽  
Generalized Time

This paper discusses the application of polynomial method in the transient response control of a benchmark two-mass system. It is shown that transient responses can be directly addressed by specifying the so-called characteristic ratios and the generalized time constant. The nominal characteristic ratio assignment (CRA) is a good starting point for controller design. And the characteristic ratios with lower indices have a more dominant influence. Two practical low-order control configurations, the integral-proportional (IP) and modified-integral-proportional-derivative (m-IPD) controllers are designed. The primary design strategy of the controllers is to guarantee the lower-index characteristic ratios to be equal to their nominal values, while the higher-index characteristic ratios are determined by the interaction with the generalized time constant and the limits imposed by zeros, a specific control configuration, etc. The demonstrated relationship between the transient responses and the assignments of characteristic ratios and generalized time constant in simulation and experiments explains the effectiveness of the polynomial-method-based controller design.

Transient Response Control by Fractional-Order PI Controllers

2011 ◽  
Author(s):  
Serdar Ethem Hamamci ◽  
Serhat Obuz
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Transient Response ◽  
Stability Region ◽  
Control Method ◽  
Settling Time ◽  
Delay Systems ◽  
Response Control ◽  
Pi Controllers ◽  
And Control

Consideration of the transient response is one of the key topics in control system design for time delay systems. In this paper, an efficient method to control the transient response of the first order plus time delay stable (FOPTD) systems using the fractional-order PI (PIλ) controllers is presented. The main characterization of the method is first to construct the global stability region in the (kp, ki)-plane for any fixed value of λ and then to obtain ts and Mp curves corresponding to special settling time and maximum overshoot values in this region. Finally, by intersection of these curves, the Dλ-stability region in the (kp, ki)-plane is found. Changing the value of λ in the range of (0, 2), a set of Dλ-stability regions is obtained. These regions involve the controller parameters providing the closed loop settling time and maximum overshoot specifications together in the acceptable values. Therefore, the designer can easily decide to the selection of suitable values of kp, ki and λ. The simulation results indicate that the presented transient response control method is effective and practically useful in the analysis and control of the stable FOPTD systems by means of fractional-order PI controllers.

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