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Models’ Bank Selection of Nonlinear Systems by Integrating Gap Metric, Margin Stability, and MOPSO Algorithm

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Abstract

This paper deals with the control of nonlinear systems where the multimodel approach has been used to build global controller. In multimodel approaches, two problems could be generally encountered: (1) how to find the required number of models and (2) what are their locations in an operating space. The developed method integrates gap metric, margin stability and multi-objective particle swarm optimization algorithm (MOPSO) to get a reduced model bank that provides necessary information for controller design. For this, the gap metric and the margin stability are respectively used as a distance measuring tool and as a guideline for selecting the model bank. The controller design is handled as a multi-objective optimization problem. In this context, the MOPSO algorithm is used for tuning optimal PID controllers that give the shortest rise time with a lower overshoot percentage and good margin stability.

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Funding

Funding was provided by European Network and Information Security Agency.

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Correspondence to Ali Zribi.

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Zribi, A., Chtourou, M. & Djemel, M. Models’ Bank Selection of Nonlinear Systems by Integrating Gap Metric, Margin Stability, and MOPSO Algorithm. Iran J Sci Technol Trans Electr Eng 43, 857–869 (2019). https://doi.org/10.1007/s40998-019-00210-w

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  • DOI: https://doi.org/10.1007/s40998-019-00210-w

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