Abstract
This chapter deals with the output regulation of nonlinear control systems in order to guarantee desired performances in the presence of plant parameters variations. The proposed control law structures are based on the fractional order PI (FOPI) and the CRONE control schemes. By introducing the multimodel approach in the closed-loop system, the presented design methodology of fractional PID control and the CRONE control guarantees desired transients. Then, the multimodel approach is used to analyze the closed-loop system properties and to get explicit expressions for evaluation of the controller parameters. The tuning of the controller parameters is based on a constrained optimization algorithm. Simulation examples are presented to show the effectiveness of the proposed method.
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Wardi, M.L., Abdelkrim, R., Abdelkrim, M.N. (2022). Fractional Order CRONE and PID Controllers Design for Nonlinear Systems Based on Multimodel Approach. In: Naifar, O., Ben Makhlouf, A. (eds) Fractional Order Systems—Control Theory and Applications. Studies in Systems, Decision and Control, vol 364. Springer, Cham. https://doi.org/10.1007/978-3-030-71446-8_7
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DOI: https://doi.org/10.1007/978-3-030-71446-8_7
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