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Yonesie B, Sebghati A, Shamaghdari S. Constrained Optimal PID Controller Design: Convex-Concave Optimization Approach. JoC 2020; 14 (1) :1-10
URL: http://joc.kntu.ac.ir/article-1-522-en.html
URL: http://joc.kntu.ac.ir/article-1-522-en.html
1- School of Electrical Engineering , Iran University of Science and Technology, Tehran , Iran
Abstract: (7160 Views)
In this paper, an algorithm is proposed to improve the constrained PID control design based on the convex-concave optimization. The control system is designed by optimizing a performance cost function, taking into account the stability and efficiency constraints with frequency domain analysis in which the sensitivity and complementary sensitivity concepts are used. It is shown, using a counter example, the previous methods are not effective for some systems, the optimization problem becomes unbounded and interrupted. To solve the problem, conditions where the optimization problem fails to have a response are analyzed and the previous limitations are eliminated by representing a new designing method. The performance of the proposed scheme is shown by applying it to the counter example. Moreover, the control system is designed for an unstable system.
Keywords: PID control design, convex-concave optimization, stability, sensitivity and complementary sensitivity constraints.
Type of Article: Research paper |
Subject:
Special
Received: 2017/09/9 | Accepted: 2018/12/3 | Published: 2020/06/11
Received: 2017/09/9 | Accepted: 2018/12/3 | Published: 2020/06/11
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