An integrated best–worst decomposition approach of nonlinear systems using gap metric and stability margin

This article uses gap metric method to design a multi-model controller for nonlinear systems. In order to decompose the nonlinear system into a reduced nominal local models bank as much as possible, and assure the closed-loop robust stability and performance, the decomposition and designing of local...

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Bibliographic Details
Published in:Proceedings of the Institution of Mechanical Engineers. Part I, Journal of systems and control engineering Journal of systems and control engineering, 2021-04, Vol.235 (4), p.486-502
Main Authors: Ahmadi, Mahdi, Haeri, Mohammad
Format: Article
Language:English
Subjects:
Continuously stirred tank reactors
Control stability
Control systems design
Controllers
Decomposition
Dependence
Mechanical engineering
Nonlinear control
Nonlinear systems
Performance evaluation
Robustness
System effectiveness
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Summary:This article uses gap metric method to design a multi-model controller for nonlinear systems. In order to decompose the nonlinear system into a reduced nominal local models bank as much as possible, and assure the closed-loop robust stability and performance, the decomposition and designing of local controllers are integrated. To this end, robust stability, performance, and gap metric are incorporated to build a binary distance matrix that supports defining the driving and dependence powers for each local model. Then a best–worst analysis is employed considering the driving and dependence powers to find out the nominal local models. The proposed approach screens the value of all local models to choose each nominal local model. As a result, the global multi-model controller has a simple structure and avoids the computational complexity issues. To evaluate the effectiveness of the proposed method, two highly nonlinear systems, pH neutralization and continuous stirred tank reactor process, are simulated.
ISSN:0959-6518
2041-3041
DOI:10.1177/0959651820949654