Finite-Time Bounded Tracking Control for a Class of Neutral Systems

Jiang Wu, Yujie Xu (), Hao Xie and Yao Zou
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Jiang Wu: School of Mathematics and Physics, University of Science and Technology Beijing, No. 30 Xueyuan Road, Haidian District, Beijing 100083, China
Yujie Xu: Institute of Fundamental and Interdisciplinary Sciences, Beijing Union University, No. 97 Beisihuan East Road, Chaoyang District, Beijing 100101, China
Hao Xie: School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China
Yao Zou: School of Automation and Electrical Engineering, University of Science and Technology Beijing, No. 30 Xueyuan Road, Haidian District, Beijing 100083, China

Mathematics, 2023, vol. 11, issue 5, 1-16

Abstract: In this paper, we investigate finite-time bounded (FTB) tracking control for a class of neutral systems. Firstly, the dynamic equation of the tracking error signal is given based on the original neutral system. Then, we combine it with the equations of the state vector to construct an error system, where the reference signal and the disturbance signal are fused in a new vector. Next, about the error system, we study the input–output finite-time stability problem of the closed-loop system by utilizing the Lyapunov–Krasovskii functional. We also give a finite-time stability condition in the form of linear matrix inequalities (LMIs). Furthermore, the delay-dependent and delay-independent finite-time bounded tracking controllers are designed separately for the original system. Finally, a realistic example is given to show the effectiveness of the controller design method in the paper.

Keywords: finite-time bounded tracking; linear matrix inequalities (LMIs); Lyapunov–Krasovskii functional; neutral systems (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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