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Double-Observer-Based Bumpless Transfer Control of Switched Positive Systems

Author

Listed:
  • Yahao Yang

    (School of Information and Communication Engineering, Hainan University, Haikou 570228, China)

  • Zhong Huang

    (School of Information and Communication Engineering, Hainan University, Haikou 570228, China)

  • Pei Zhang

    (School of Information and Communication Engineering, Hainan University, Haikou 570228, China)

Abstract

This paper investigates the bumpless transfer control of linear switched positive systems based on state and disturbance observers. First, state and disturbance observers are designed for linear switched positive systems to estimate the state and the disturbance. By combining the designed state observer, the disturbance observer, and the output, a new controller is constructed for the systems. All gain matrices are described in the form of linear programming. By using co-positive Lyapunov functions, the positivity and stability of the closed-loop system can be ensured. In order to achieve the bumpless transfer property, some additional sufficient conditions are imposed on the control conditions. The novelties of this paper lie in that (i) a novel framework is presented for positive disturbance observer, (ii) double observers are constructed for linear switched positive systems, and (iii) a bumpless transfer controller is proposed in terms of linear programming. Finally, two examples are given to illustrate the effectiveness of the proposed results.

Suggested Citation

  • Yahao Yang & Zhong Huang & Pei Zhang, 2024. "Double-Observer-Based Bumpless Transfer Control of Switched Positive Systems," Mathematics, MDPI, vol. 12(11), pages 1-15, June.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:11:p:1724-:d:1406907
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    References listed on IDEAS

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    1. D’Ambrosio, Claudia & Lodi, Andrea & Wiese, Sven & Bragalli, Cristiana, 2015. "Mathematical programming techniques in water network optimization," European Journal of Operational Research, Elsevier, vol. 243(3), pages 774-788.
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    Cited by:

    1. Jiawen Wu & Qian Liu & Pan Yu, 2024. "Anti-Disturbance Bumpless Transfer Control for a Switched Systems via a Switched Equivalent-Input-Disturbance Approach," Mathematics, MDPI, vol. 12(15), pages 1-12, July.

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