Local input-to-state stabilization of time-delay systems subject to actuator saturation and external disturbance
In this paper, we deal with the problem of local input-to-state stabilization for a class of time-delay systems subject to actuator saturation and external disturbance. The saturation function is described by a polytopic representation. Based on the Lyapunov–Krasovskii functional method, sufficient...
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| Published in | Journal of the Franklin Institute Vol. 357; no. 7; pp. 4154 - 4170 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elmsford
Elsevier Ltd
01.05.2020
Elsevier Science Ltd |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0016-0032 1879-2693 0016-0032 |
| DOI | 10.1016/j.jfranklin.2020.01.020 |
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| Abstract | In this paper, we deal with the problem of local input-to-state stabilization for a class of time-delay systems subject to actuator saturation and external disturbance. The saturation function is described by a polytopic representation. Based on the Lyapunov–Krasovskii functional method, sufficient conditions on local input-to-state stabilization are derived in terms of linear matrix inequalities (LMIs). Meanwhile, the maximal domain of the initial states is estimated such that the state trajectories starting from this domain are bounded. In the absence of the external disturbance, the exponential stabilization problem is also considered. Three numerical examples are provided to illustrate the feasibility and effectiveness of the derived results. |
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| AbstractList | In this paper, we deal with the problem of local input-to-state stabilization for a class of time-delay systems subject to actuator saturation and external disturbance. The saturation function is described by a polytopic representation. Based on the Lyapunov–Krasovskii functional method, sufficient conditions on local input-to-state stabilization are derived in terms of linear matrix inequalities (LMIs). Meanwhile, the maximal domain of the initial states is estimated such that the state trajectories starting from this domain are bounded. In the absence of the external disturbance, the exponential stabilization problem is also considered. Three numerical examples are provided to illustrate the feasibility and effectiveness of the derived results. |
| Author | Liu, Hui Ding, Yucai Zhong, Shouming Cheng, Jun |
| Author_xml | – sequence: 1 givenname: Yucai orcidid: 0000-0002-6233-0297 surname: Ding fullname: Ding, Yucai email: yucaiding@swust.edu.cn organization: School of science, Southwest University of Science and Technology, Mianyang 621010, China – sequence: 2 givenname: Jun surname: Cheng fullname: Cheng, Jun organization: College of Mathematics and Statistics, Guangxi Normal University, Guilin 541006, China – sequence: 3 givenname: Hui surname: Liu fullname: Liu, Hui organization: School of science, Southwest University of Science and Technology, Mianyang 621010, China – sequence: 4 givenname: Shouming surname: Zhong fullname: Zhong, Shouming organization: School of Mathematics Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China |
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| CitedBy_id | crossref_primary_10_1016_j_jfranklin_2021_12_014 crossref_primary_10_1049_iet_cta_2020_0269 crossref_primary_10_1002_rnc_5711 crossref_primary_10_1109_TFUZZ_2024_3409782 |
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| SubjectTerms | Actuators Domains Effectiveness Linear matrix inequalities Mathematical analysis Matrix Numerical analysis Saturation Stabilization Time delay systems |
| Title | Local input-to-state stabilization of time-delay systems subject to actuator saturation and external disturbance |
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