Finite-Time Bounded Tracking Control for a Class of Neutral Systems
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,...
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| Format: | Article |
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MDPI AG
2023-02-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/5/1199 |
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| author | Jiang Wu Yujie Xu Hao Xie Yao Zou |
| author_facet | Jiang Wu Yujie Xu Hao Xie Yao Zou |
| author_sort | Jiang Wu |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T07:18:08Z |
| format | Article |
| id | doaj.art-f8d305e211c743c188b4ecf6c368b14a |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T07:18:08Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-f8d305e211c743c188b4ecf6c368b14a2023-11-17T08:09:34ZengMDPI AGMathematics2227-73902023-02-01115119910.3390/math11051199Finite-Time Bounded Tracking Control for a Class of Neutral SystemsJiang Wu0Yujie Xu1Hao Xie2Yao Zou3School of Mathematics and Physics, University of Science and Technology Beijing, No. 30 Xueyuan Road, Haidian District, Beijing 100083, ChinaInstitute of Fundamental and Interdisciplinary Sciences, Beijing Union University, No. 97 Beisihuan East Road, Chaoyang District, Beijing 100101, ChinaSchool of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, ChinaSchool of Automation and Electrical Engineering, University of Science and Technology Beijing, No. 30 Xueyuan Road, Haidian District, Beijing 100083, ChinaIn 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.https://www.mdpi.com/2227-7390/11/5/1199finite-time bounded trackinglinear matrix inequalities (LMIs)Lyapunov–Krasovskii functionalneutral systems |
| spellingShingle | Jiang Wu Yujie Xu Hao Xie Yao Zou Finite-Time Bounded Tracking Control for a Class of Neutral Systems Mathematics finite-time bounded tracking linear matrix inequalities (LMIs) Lyapunov–Krasovskii functional neutral systems |
| title | Finite-Time Bounded Tracking Control for a Class of Neutral Systems |
| title_full | Finite-Time Bounded Tracking Control for a Class of Neutral Systems |
| title_fullStr | Finite-Time Bounded Tracking Control for a Class of Neutral Systems |
| title_full_unstemmed | Finite-Time Bounded Tracking Control for a Class of Neutral Systems |
| title_short | Finite-Time Bounded Tracking Control for a Class of Neutral Systems |
| title_sort | finite time bounded tracking control for a class of neutral systems |
| topic | finite-time bounded tracking linear matrix inequalities (LMIs) Lyapunov–Krasovskii functional neutral systems |
| url | https://www.mdpi.com/2227-7390/11/5/1199 |
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