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Multiple Model Reduction Approach using Gap Metric and Stability Margin for Control Nonlinear Systems

Ali Zribi*, Mohamed Chtourou, and Mohamed Djemel
International Journal of Control, Automation, and Systems, vol. 15, no. 1, pp.267-273, 2017

Abstract : "This paper deals with the control of nonlinear systems using multimodel approach. The main idea of this work consists on the association of the gap metric and the stability margin tools to reduce the number of models constituting the multimodel bank. In fact, the self-organisation map (SOM) algorithm is used, firstly, to develop a preliminary multimodel bank. Then, the gap metric and the stability margin are computed to determine the redundancy of the initial multimodel bank. So, the multimodel controller is elaborated based on the reduced model bank. Simulations confirm the method for selecting the appropriate number of local models which should be used in the controller design."

Keyword : Gap metric, model bank, multimodel control, stability margin, SOM.

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