Stability analysis of a class of nonlinear fractional‐order systems under control input saturation |
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| Authors: | Esmat Sadat Alaviyan Shahri Alireza Alfi J.A. Tenreiro Machado |
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| Affiliation: | 1. Faculty of Electrical and Robotic Engineering, Shahrood University of Technology, Shahrood, Iran;2. Department of Electrical Engineering, School of Engineering, Polytechnic Institute of Porto, Porto, Portugal |
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| Abstract: | ![]()
This paper studies the stability of a class of nonlinear fractional‐order (FO) systems under input control saturation. Based on the Gronwall‐Bellman lemma and the sector‐bounded condition, sufficient conditions are provided to stabilize such systems by means of a state‐feedback controller. The performance of the proposed controller is tested with 2 FO chaotic systems, namely, the FO brushless direct‐current motor and the Chen systems. The results illustrate the good performance of the new controller under saturation effects. |
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| Keywords: | chaotic system fractional‐order system Gronwall‐Bellman lemma input saturation sector‐bounded condition |
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