Finite-Time Preview Control for Uncertain Systems with Input Saturation

LI Li, MENG Xiaohua, YE Hui

Journal of Systems Science and Mathematical Sciences ›› 2023, Vol. 43 ›› Issue (7) : 1677-1693.

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Journal of Systems Science and Mathematical Sciences ›› 2023, Vol. 43 ›› Issue (7) : 1677-1693. DOI: 10.12341/jssms22845

Finite-Time Preview Control for Uncertain Systems with Input Saturation

  • LI Li1,2, MENG Xiaohua1,2, YE Hui1,2
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Abstract

In this paper, the finite-time preview control problem for a class of uncertain saturated systems is studied. In order to avoid the difference between the time-varying coefficient matrix and the saturated nonlinear term, this paper utilizes the difference between the system state variables and the corresponding auxiliary variables, instead of the usual difference between system states, and constructs a new form of "augmented error system", which converts the finite-time preview saturated control problem into the finite-time stabilization problem of the augmented error system. The augmented error system no longer contains error vector, which not only reduces the order of the system, but also allows the output matrix to contain uncertainties. For the augmented error system, the feedback control is introduced, and the sufficient conditions for the finite-time stability of the closed-loop system and the design method of the predictive saturated controller are derived by using the improved sector condition and LMI (Linear Matrix Inequality). The numerical simulation examples also illustrate the effectiveness of the results in the paper.

Key words

Augmented error system / preview saturated control / finite-time control / uncertain system / input saturation / linear matrix inequality

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LI Li , MENG Xiaohua , YE Hui. Finite-Time Preview Control for Uncertain Systems with Input Saturation. Journal of System Science and Mathematical Science Chinese Series, 2023, 43(7): 1677-1693 https://doi.org/10.12341/jssms22845

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