Fixed-time stabilisation for a class of high-order non-linear systems
The problem of fixed-time stabilisation for a class of high-order non-linear systems is studied. By introducing the manipulation of sign functions and revamping by adding a power integrator technique, a novel approach is proposed to construct a continuous stabiliser as well as a continuously differe...
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| Published in | IET control theory & applications Vol. 12; no. 18; pp. 2578 - 2587 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
The Institution of Engineering and Technology
18.12.2018
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1751-8644 1751-8652 |
| DOI | 10.1049/iet-cta.2018.5053 |
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| Abstract | The problem of fixed-time stabilisation for a class of high-order non-linear systems is studied. By introducing the manipulation of sign functions and revamping by adding a power integrator technique, a novel approach is proposed to construct a continuous stabiliser as well as a continuously differentiable Lyapunov function, which is crucial for proving fixed-time stability. The novelty of this study is the development of a systematic design method that provides a delicate solution to the problem of fixed-time stabilisation for high-order non-linear systems. |
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| AbstractList | The problem of fixed‐time stabilisation for a class of high‐order non‐linear systems is studied. By introducing the manipulation of sign functions and revamping by adding a power integrator technique, a novel approach is proposed to construct a continuous stabiliser as well as a continuously differentiable Lyapunov function, which is crucial for proving fixed‐time stability. The novelty of this study is the development of a systematic design method that provides a delicate solution to the problem of fixed‐time stabilisation for high‐order non‐linear systems. |
| Author | Sun, Zong-Yao Chen, Chih-Chiang |
| Author_xml | – sequence: 1 givenname: Chih-Chiang orcidid: 0000-0002-2254-723X surname: Chen fullname: Chen, Chih-Chiang email: ccchenevan@mail.ncku.edu.tw organization: 1Department of Systems and Naval Mechatronic Engineering, National Cheng Kung University, Tainan 70101, Taiwan – sequence: 2 givenname: Zong-Yao surname: Sun fullname: Sun, Zong-Yao organization: 2Institute of Automation, Qufu Normal University, Shandong Province, Qufu 273165, People's Republic of China |
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| Keywords | high-order nonlinear systems continuously differentiable Lyapunov function fixed-time stabilisation continuous stabiliser systematic design method nonlinear control systems stability fixed-time stability Lyapunov methods |
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| Snippet | The problem of fixed-time stabilisation for a class of high-order non-linear systems is studied. By introducing the manipulation of sign functions and... The problem of fixed‐time stabilisation for a class of high‐order non‐linear systems is studied. By introducing the manipulation of sign functions and... |
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| SubjectTerms | Brief Paper continuous stabiliser continuously differentiable Lyapunov function fixed‐time stabilisation fixed‐time stability high‐order nonlinear systems Lyapunov methods nonlinear control systems stability systematic design method |
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| Title | Fixed-time stabilisation for a class of high-order non-linear systems |
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