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Dynamic output feedback control for fractional-order delayed systems subject to actuator saturation

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Abstract

This paper addresses the fractional-order uncertain delayed systems with actuator saturation via dynamic output feedback control strategy. The time-varying delay considered in this paper can be possibly unbounded which relaxes the ordinary assumptions. A dynamic output feedback controller is put forward to stabilize the delayed nonlinear fractional-order systems (FOSs). The gain matrices in the controller are obtained through solving linear matrix inequalities (LMIs). The sufficient conditions for the stability of uncertain delayed nonlinear FOSs are proposed by fractional Lyapunov method. Both maximization of the domain of attraction (DOA) and the stabilization of the considered system are ensured which are solved by an optimization problem in terms of LMIs. Furthermore, the case that without delay of nonlinear FOSs using the proposed strategy is demonstrated. Finally, two simulation examples are given to illustrate the effectiveness of the developed method.

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Data Availability

The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

The authors would like to thank the Associate Editor and the anonymous reviewers for their keen and insightful comments which greatly improved the contents and the presentation of this article significantly.

Funding

This work was partially supported by National Key R & D Program of China (2018YFB1308300), National Natural Science Foundation of China (U20A20187, 61825304), National Defense Basic Scientific Research Project (JCKY2019407D001), Science Fund for Creative Research Groups of Hebei Province (F2020203013). Science and technology development grant of Hebei Province (20311803D, 19011824Z) and National Defence Fundamental Project (2020A130).

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  1. Department of Automation, Yanshan University, Qinhuangdao, 066004, China

    Jinghua Ning & Changchun Hua

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  1. Jinghua Ning
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Correspondence to Changchun Hua.

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Ning, J., Hua, C. Dynamic output feedback control for fractional-order delayed systems subject to actuator saturation. Nonlinear Dyn 110, 995–1004 (2022). https://doi.org/10.1007/s11071-022-07622-0

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