Volume 16, Issue 1 (Journal of Control, V.16, N.1 Spring 2022)
JoC 2022, 16(1): 13-26 |
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Faraji Barmaki A, Amini Zazerani A, mohammadimehr M. Designing multi-model controller in bumpless transfer with integrated performance and robust stability for sandwich plate nonlinear vibration control. JoC 2022; 16 (1) :13-26
URL: http://joc.kntu.ac.ir/article-1-826-en.html
URL: http://joc.kntu.ac.ir/article-1-826-en.html
1- University of Kashan
2- Iranian Space Research Center
2- Iranian Space Research Center
Abstract: (4704 Views)
The idea of using multi-model controllers has been established on the decomposition of complicated nonlinear systems into multi local models, designing the local controllers, and their composition for the system input control. Since the proper performance and the final system close loop stability are vital in multi-model controllers designing, the main problem in multi-model controllers is the number of the local models and their position not paying attention to which will result in redundancy, estimation complexity and the decreased performance of the system. Determining a specific margin based on nonlinear model characteristics is a good criterion for the classification. The first margin largely depends on the preliminary knowledge of designing the wrong selection of which will add to the redundancy of the local models and the problem’s complexity. In this article, the maximum stability margin parameter which is the main feature in each sub system and the best choice for the local controllers clustering has made the classification possible and also guaranteed close loop stability of the system. Based on the gap metric and the maximum stability margin, an optimal solution for the number of the local controllers and their position can be obtained by the use of genetic algorithm. The cost function is defined by the complementary sensitivity function and the sensitivity function and guarantees the maximum stability margin, the optimal performance, and the close loop stability of the system, respectively. Another challenge in designing multi-model controllers is the transient performance degradation when switching from one local model to another. Soft/hard switching has been suggested as a solution by the researchers before. In this article, given that the nonlinear system input depends on the online controller error signal and feedback coefficient of the offline controller, transient performance degradation in the switching phase will be solved. To evaluate the presented multi-model controller design procedure, a sandwich plate nonlinear vibration suspension with uncertainty in basic equations is proposed. Lagrange Reilly-Ritz method is used to derive the nonlinear equations of the plate.
Keywords: Multi-Model Controller, Stability Margin Maximum, Sensitivity Function, Linearization, Genetic Algorithm
Type of Article: Research paper |
Subject:
Special
Received: 2021/01/4 | Accepted: 2021/10/2 | ePublished ahead of print: 2021/10/15 | Published: 2022/05/31
Received: 2021/01/4 | Accepted: 2021/10/2 | ePublished ahead of print: 2021/10/15 | Published: 2022/05/31
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