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Guaranteed Cost Impulsive Control of Nonlinear Positive Systems Via T–S Fuzzy Model

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Abstract

This work investigates the guaranteed cost impulsive control of nonlinear positive systems via the T–S fuzzy model-based approach. A fuzzy impulsive control strategy is constructed using the parallel distributed compensation (PDC) technique, and the closed-loop form is then cast into an impulsive dynamic system. Furthermore, through the constructed discretized copositive Lyapunov function, the existence condition of impulsive controller is obtained for ensuring the closed-loop system to be positive and exponentially stable, and a specific level of performance can also be guaranteed. The salient feature of the proposed controller design methodology is that the impulse interval partitioning technique is made full use of to get less conservative conditions. Finally, a pest management application demonstrates the usefulness of the developed impulsive controller design technique.

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Acknowledgements

This work is supported by the Natural Science Foundation of Shandong Province (Grant Nos. ZR2020QF051, ZR2020QH019), the Traditional Chinese Medicine Science and Technology Project of Shandong Province (Grant No. 2020M041), Clinical Medicine Science and Technology Innovation Plan of Jinan City(No. 202019093), and the Medical Health Science and Technology Development Plan of Shandong Province (Grant No. 2019WS496).

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Authors and Affiliations

  1. School of Electrical Engineering and Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan, 250353, China

    Baolong Zhu

  2. Healthcare Department, The Third Hospital of Jinan, Jinan, 250132, China

    Haixia Wang

  3. Department of Nutrition, Shandong Provincial Hospital, Cheeloo College of Medicine, Shandong University, Jinan, 250021, China

    Jie Zhang

  4. Department of Nutrition, Shandong Provincial Hospital Affiliated to Shandong First Medical University, Jinan, 250021, China

    Jie Zhang

  5. Department of Cardiology, Shandong Provincial Hospital Affiliated to Shandong First Medical University, Jinan, 250021, China

    Peng Zhao

  6. Department of Cardiology, Shandong Provincial Hospital, Cheeloo College of Medicine, Shandong University, Jinan, 250021, China

    Peng Zhao

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  1. Baolong Zhu
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  2. Haixia Wang
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  3. Jie Zhang
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  4. Peng Zhao
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Correspondence to Peng Zhao.

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Zhu, B., Wang, H., Zhang, J. et al. Guaranteed Cost Impulsive Control of Nonlinear Positive Systems Via T–S Fuzzy Model. Int. J. Fuzzy Syst. 24, 1467–1477 (2022). https://doi.org/10.1007/s40815-021-01202-x

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