In this paper, an applicable control-relevant nonlinearity assessment method is proposed for nonlinear dynamic systems. In this method, nonlinear system is decomposed to a bank of linear systems using gap metric, a smart tool for measuring the distance between two linear systems. Then, the ability of each local linear models are investigated to stabilize all linear models. A criterion is proposed to measure the nonlinearity of nonlinear system based on gap metric and maximum stability margin values which bounded between 0 and 1. Unlike most of the current nonlinearity measurement, the proposed method could be used for both integrating and unstable nonlinear systems. Besides, the presented method supplies to distinguish that a single linear controller is adequate to control the nonlinear system or it is necessary to employ the multi-model based controllers design methods. Therefore, the redundancy problem could be avoided by employing the proposed method. A nonlinear Continues Stirred Reactor Tank (CSTR) process is studied and results confirm the capability of presented nonlinearity assessment method.
Ahmadi, M. (2023). An Applicable Control-Relevant Method for Nonlinearity Assessment using Gap Metric. Journal of Modeling in Engineering, (), -. doi: 10.22075/jme.2023.30975.2473
MLA
Mahdi Ahmadi. "An Applicable Control-Relevant Method for Nonlinearity Assessment using Gap Metric". Journal of Modeling in Engineering, , , 2023, -. doi: 10.22075/jme.2023.30975.2473
HARVARD
Ahmadi, M. (2023). 'An Applicable Control-Relevant Method for Nonlinearity Assessment using Gap Metric', Journal of Modeling in Engineering, (), pp. -. doi: 10.22075/jme.2023.30975.2473
VANCOUVER
Ahmadi, M. An Applicable Control-Relevant Method for Nonlinearity Assessment using Gap Metric. Journal of Modeling in Engineering, 2023; (): -. doi: 10.22075/jme.2023.30975.2473
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