Truncated predictor feedback for a chain of infinite-delayed systems with input saturation
A linear system can be regulated by a control signal through a cascade of integrators, as extensively documented in existing literature. However, such controllers often encounter challenges when each link in this chain is affected by time delays, leading to poor performance or even instability. This...
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| Published in | Systems & control letters Vol. 191; p. 105873 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
01.09.2024
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0167-6911 1872-7956 |
| DOI | 10.1016/j.sysconle.2024.105873 |
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| Abstract | A linear system can be regulated by a control signal through a cascade of integrators, as extensively documented in existing literature. However, such controllers often encounter challenges when each link in this chain is affected by time delays, leading to poor performance or even instability. This paper addresses a particularly challenging scenario wherein each connection experiences infinite delays, and the input signal is subject to saturation. To overcome these issues, we propose a truncated predictor feedback controller via the low-gain design. Semi-global stabilization problem of the considered system is solved with the peak magnitude of the input signal provided. One of the novelties of our work lies in the expanded applicability of truncated predictor feedback, which is applied to a system featuring both state and input delays. This stands in contrast to the majority of existing studies that primarily focus on input delays alone. We support our theoretical framework with a simulation example to illustrate its effectiveness. |
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| AbstractList | A linear system can be regulated by a control signal through a cascade of integrators, as extensively documented in existing literature. However, such controllers often encounter challenges when each link in this chain is affected by time delays, leading to poor performance or even instability. This paper addresses a particularly challenging scenario wherein each connection experiences infinite delays, and the input signal is subject to saturation. To overcome these issues, we propose a truncated predictor feedback controller via the low-gain design. Semi-global stabilization problem of the considered system is solved with the peak magnitude of the input signal provided. One of the novelties of our work lies in the expanded applicability of truncated predictor feedback, which is applied to a system featuring both state and input delays. This stands in contrast to the majority of existing studies that primarily focus on input delays alone. We support our theoretical framework with a simulation example to illustrate its effectiveness. |
| ArticleNumber | 105873 |
| Author | Bi, Cong Li, Bin Xu, Xiang |
| Author_xml | – sequence: 1 givenname: Xiang orcidid: 0000-0002-8663-9029 surname: Xu fullname: Xu, Xiang organization: Shenzhen Key Laboratory of Control Theory and Intelligent Systems, Southern University of Science and Technology, Shenzhen 518055, China – sequence: 2 givenname: Cong surname: Bi fullname: Bi, Cong organization: College of Artificial Intelligence, Nankai University, Tianjin, China – sequence: 3 givenname: Bin orcidid: 0000-0002-9565-0991 surname: Li fullname: Li, Bin email: bin.li@scu.edu.cn organization: School of Aeronautics and Astronautics, Sichuan University, Chengdu, China |
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| Keywords | Input saturation Distributed infinite delays Truncated predictor feedback |
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| SubjectTerms | Distributed infinite delays Input saturation Truncated predictor feedback |
| Title | Truncated predictor feedback for a chain of infinite-delayed systems with input saturation |
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