DocumentCode :
25170
Title :
The Assignment of Generalized Time Constant for A Non-All-Pole System
Author :
Yue Qiao ; Chengbin Ma
Author_Institution :
Univ. of Michigan-SJTU Joint Inst., Shanghai Jiao Tong Univ., Shanghai, China
Volume :
62
Issue :
7
fYear :
2015
fDate :
Jul-15
Firstpage :
4276
Lastpage :
4287
Abstract :
This paper discusses the assignment of generalized time constant for a non-all-pole system. The generalized time constant is found to be important because it simultaneously influences the speed of response, damping (i.e., overshoot), and robustness. For the ease of explanation, a general two-mass system is introduced as a case study, which has one pair of jω-axis zeroes. Under an ideal two-parameter control configuration, the exact lower bound of the generalized time constant is determined that results in monotonic step responses, while a moderate generalized time constant is shown to be desirable for robustness purposes. A modified-Integral-Proportional-Derivative control configuration is then adopted for the implementation of the ideal two-parameter controller. It is found that, in real applications, a specific control configuration and signal delay may also impose limits on the assignment of the generalized time constant and characteristic ratios. Due to the clear physical meaning of the polynomial method, the tradeoff relationship among the speed of response, damping, and robustness can be explicitly represented. This unique advantage leads to a straightforward controller design procedure. Finally, the theoretical analysis is validated by experimental results.
Keywords :
control system synthesis; damping; delays; robust control; step response; three-term control; damping; generalized time constant assignment; ideal two-parameter control configuration; jω-axis zeroes; modified integral-proportional-derivative control configuration; monotonic step response; non-all-pole system design; polynomial method; robustness purpose; signal delay; two-mass system; Closed loop systems; Educational institutions; Gears; Polynomials; Robustness; Time factors; Time-frequency analysis; Assignment of generalized time constant; Polynomial method; assignment of generalized time constant; non-all-pole system; polynomial method; robustness analysi; robustness analysis; transient response;
fLanguage :
English
Journal_Title :
Industrial Electronics, IEEE Transactions on
Publisher :
ieee
ISSN :
0278-0046
Type :
jour
DOI :
10.1109/TIE.2015.2393832
Filename :
7014241
Link To Document :
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