Finite‐time tracking control for time‐delayed pure‐feedback systems with guaranteed performance
This article investigates the finite‐time tracking control problem with guaranteed performance for a class of nonlinear pure‐feedback systems subject to both time‐varying state delays and control input delays. Both the state delays and control input delays are assumed to be unknown yet bounded by so...
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| Published in | International journal of robust and nonlinear control Vol. 34; no. 5; pp. 3011 - 3032 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Bognor Regis
Wiley Subscription Services, Inc
25.03.2024
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1049-8923 1099-1239 |
| DOI | 10.1002/rnc.7120 |
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| Abstract | This article investigates the finite‐time tracking control problem with guaranteed performance for a class of nonlinear pure‐feedback systems subject to both time‐varying state delays and control input delays. Both the state delays and control input delays are assumed to be unknown yet bounded by some known constants. A new performance function is introduced that ensures the finite‐time convergence of tracking errors and guaranteed performance. The key to handling both the states and input delays lies in a novel construction of the Lyapunov–Krasovskii (LK) function, which also avoids the reconstruction of the LK function in stability analysis. In addition, a continuous package function is introduced, which allows the unknown nonlinear terms arising from the uncertain perturbation and the derivation of the LK function to be eliminated. Under the proposed method, the semi‐global uniform ultimate boundedness of all signals in the closed‐loop system can also be ensured. Simulation examples are provided to demonstrate the effectiveness of the proposed approach in this article. |
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| AbstractList | This article investigates the finite‐time tracking control problem with guaranteed performance for a class of nonlinear pure‐feedback systems subject to both time‐varying state delays and control input delays. Both the state delays and control input delays are assumed to be unknown yet bounded by some known constants. A new performance function is introduced that ensures the finite‐time convergence of tracking errors and guaranteed performance. The key to handling both the states and input delays lies in a novel construction of the Lyapunov–Krasovskii (LK) function, which also avoids the reconstruction of the LK function in stability analysis. In addition, a continuous package function is introduced, which allows the unknown nonlinear terms arising from the uncertain perturbation and the derivation of the LK function to be eliminated. Under the proposed method, the semi‐global uniform ultimate boundedness of all signals in the closed‐loop system can also be ensured. Simulation examples are provided to demonstrate the effectiveness of the proposed approach in this article. |
| Author | Wang, Yujuan Wang, Chao Dai, Yunfei |
| Author_xml | – sequence: 1 givenname: Yunfei orcidid: 0009-0003-5932-7534 surname: Dai fullname: Dai, Yunfei organization: Star Institute of Intelligent Systems – sequence: 2 givenname: Yujuan orcidid: 0000-0003-3355-095X surname: Wang fullname: Wang, Yujuan email: iamwyj123456789@163.com organization: Chongqing University – sequence: 3 givenname: Chao orcidid: 0000-0001-6978-4817 surname: Wang fullname: Wang, Chao organization: Star Institute of Intelligent Systems |
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| Copyright | 2023 John Wiley & Sons Ltd. 2024 John Wiley & Sons, Ltd. |
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| Snippet | This article investigates the finite‐time tracking control problem with guaranteed performance for a class of nonlinear pure‐feedback systems subject to both... |
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| SubjectTerms | Continuity (mathematics) delay systems Feedback finite‐time tracking control neuroadaptive control prescribed performance control pure‐feedback systems Stability analysis Tracking control Tracking errors |
| Title | Finite‐time tracking control for time‐delayed pure‐feedback systems with guaranteed performance |
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