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Semi-global Interval Observer-Based Robust Control of Linear Time-Invariant Systems Subject to Input Saturation

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Abstract

This article investigates the issue of robust control based on interval observers for continuous-time linear time-invariant (LTI) systems with input saturation and disturbances. Firstly, an interval observer is derived by resorting to the system’s output information and the interval bounds on the disturbances. Then, a parametric Lyapunov equation (PLE)-based low-gain feedback control method is introduced to guarantee semi-global boundedness. In contrast to the current parametric algebraic Riccati equation (PARE)-based method that requires an iterative approach to solve the PARE online, all relevant parameters in the adopted low-gain design approach are offline determined a priori. Moreover, considering the characteristics of the interval observer, a new stability analysis architecture is given by using a Lyapunov function with a mixture of quadratic and copositive types. Finally, two numerical examples are employed as a means of substantiating the theoretical results.

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China under Grant 61973156.

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Authors and Affiliations

  1. College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 211106, China

    Zhipeng Zhang, Jun Shen & Hongling Qiu

  2. College of Mathematics, Southeast University, Nanjing, 211189, China

    Jiyuan Zhang

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  1. Zhipeng Zhang
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  2. Jun Shen
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  3. Jiyuan Zhang
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Correspondence to Hongling Qiu.

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Zhang, Z., Shen, J., Zhang, J. et al. Semi-global Interval Observer-Based Robust Control of Linear Time-Invariant Systems Subject to Input Saturation. Circuits Syst Signal Process (2024). https://doi.org/10.1007/s00034-024-02716-z

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  • DOI: https://doi.org/10.1007/s00034-024-02716-z

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