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Volume 11 Issue 1
Jan.  2024

IEEE/CAA Journal of Automatica Sinica

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Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2024  >  11(1): 196-204
C. Zhu, X. Han, and X. Li, “Analysis and design of time-delay impulsive systems subject to actuator saturation,” IEEE/CAA J. Autom. Sinica, vol. 11, no. 1, pp. 196–204, Jan. 2024. doi: 10.1109/JAS.2023.123720
Citation: C. Zhu, X. Han, and X. Li, “Analysis and design of time-delay impulsive systems subject to actuator saturation,” IEEE/CAA J. Autom. Sinica, vol. 11, no. 1, pp. 196–204, Jan. 2024. doi: 10.1109/JAS.2023.123720
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Analysis and Design of Time-Delay Impulsive Systems Subject to Actuator Saturation

doi: 10.1109/JAS.2023.123720
Funds:  This work was supported by National Natural Science Foundation of China (62173215), Major Basic Research Program of the Natural Science Foundation of Shandong Province in China (ZR2021ZD04, ZR2020ZD24), and the Support Plan for Outstanding Youth Innovation Team in Shandong Higher Education Institutions (2019KJI008)
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    Abstract
  • This paper investigates the exponential stability and performance analysis of nonlinear time-delay impulsive systems subject to actuator saturation. When continuous dynamics is unstable, under some conditions, it is shown that the system can be stabilized by a class of saturated delayed-impulses regardless of the length of input delays. Conversely, when the system is originally stable, it is shown that under some conditions, the system is robust with respect to sufficient small delayed-impulses. Moreover, the design problem of the controller with the goal of obtaining a maximized estimate of the domain of attraction is formulated via a convex optimization problem. Three examples are provided to demonstrate the validity of the main results.

     

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    Highlights

    • We have considered a class of impulsive systems involving delayed impulses and input saturation due to the fact that it is regarded as a better way to model many practical problem, which is is rarely considered in the literature
    • An optimization problem on designing controller is presented in order to maximize the domain of attraction. A relation between impulse action and the estimate of the domain of attraction is established, which was excluded in the existing results
    • Our proposed results improve and extend some recent publications

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