Robust H∞ control for delayed systems with randomly varying nonlinearities under uncertain occurrence probability via sliding mode method
In this paper, we address the problem of robust $ H_{\infty } $ sliding mode control (SMC) for a class of discrete-time stochastic systems with parameter uncertainties, time-varying delay and randomly varying nonlinearities (RVNs) under uncertain occurrence probability. Here, the norm-bounded parame...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2018-01-01
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| Series: | Systems Science & Control Engineering |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/21642583.2018.1474143 |
| _version_ | 1811273820193947648 |
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| author | Panpan Zhang Jun Hu Hongxu Zhang Dongyan Chen |
| author_facet | Panpan Zhang Jun Hu Hongxu Zhang Dongyan Chen |
| author_sort | Panpan Zhang |
| collection | DOAJ |
| description | In this paper, we address the problem of robust $ H_{\infty } $ sliding mode control (SMC) for a class of discrete-time stochastic systems with parameter uncertainties, time-varying delay and randomly varying nonlinearities (RVNs) under uncertain occurrence probability. Here, the norm-bounded parameter uncertainties are considered. The time-varying delay is bounded with known upper and lower bounds. In addition, the RVNs are depicted by using a Bernoulli distributed stochastic variable with uncertain occurrence probability. The aim of the paper is to provide an SMC method such that, for all parameter uncertainties, time-varying delay and RVNs, the robust asymptotic stability with a prescribed disturbance attenuation level is guaranteed for the sliding mode dynamics by providing a new sufficient condition. Moreover, the reachability analysis is carried out simultaneously, i.e. the states of the closed-loop system are driven onto a neighborhood of pre-designed sliding surface by synthesizing a robust sliding mode controller. Finally, the usefulness of the aforementioned control technique is verified by a numerical example. |
| first_indexed | 2024-04-12T23:06:13Z |
| format | Article |
| id | doaj.art-d2ebf18191494cf2861d09eac9332a66 |
| institution | Directory Open Access Journal |
| issn | 2164-2583 |
| language | English |
| last_indexed | 2024-04-12T23:06:13Z |
| publishDate | 2018-01-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Systems Science & Control Engineering |
| spelling | doaj.art-d2ebf18191494cf2861d09eac9332a662022-12-22T03:12:54ZengTaylor & Francis GroupSystems Science & Control Engineering2164-25832018-01-016116017010.1080/21642583.2018.14741431474143Robust H∞ control for delayed systems with randomly varying nonlinearities under uncertain occurrence probability via sliding mode methodPanpan Zhang0Jun Hu1Hongxu Zhang2Dongyan Chen3Harbin University of Science and TechnologyHarbin University of Science and TechnologyHarbin University of Science and TechnologyHarbin University of Science and TechnologyIn this paper, we address the problem of robust $ H_{\infty } $ sliding mode control (SMC) for a class of discrete-time stochastic systems with parameter uncertainties, time-varying delay and randomly varying nonlinearities (RVNs) under uncertain occurrence probability. Here, the norm-bounded parameter uncertainties are considered. The time-varying delay is bounded with known upper and lower bounds. In addition, the RVNs are depicted by using a Bernoulli distributed stochastic variable with uncertain occurrence probability. The aim of the paper is to provide an SMC method such that, for all parameter uncertainties, time-varying delay and RVNs, the robust asymptotic stability with a prescribed disturbance attenuation level is guaranteed for the sliding mode dynamics by providing a new sufficient condition. Moreover, the reachability analysis is carried out simultaneously, i.e. the states of the closed-loop system are driven onto a neighborhood of pre-designed sliding surface by synthesizing a robust sliding mode controller. Finally, the usefulness of the aforementioned control technique is verified by a numerical example.http://dx.doi.org/10.1080/21642583.2018.1474143Discrete delayed systemsstochastic systemssliding mode controlrandomly varying no nlinearitiesuncertain occurrence probability |
| spellingShingle | Panpan Zhang Jun Hu Hongxu Zhang Dongyan Chen Robust H∞ control for delayed systems with randomly varying nonlinearities under uncertain occurrence probability via sliding mode method Systems Science & Control Engineering Discrete delayed systems stochastic systems sliding mode control randomly varying no nlinearities uncertain occurrence probability |
| title | Robust H∞ control for delayed systems with randomly varying nonlinearities under uncertain occurrence probability via sliding mode method |
| title_full | Robust H∞ control for delayed systems with randomly varying nonlinearities under uncertain occurrence probability via sliding mode method |
| title_fullStr | Robust H∞ control for delayed systems with randomly varying nonlinearities under uncertain occurrence probability via sliding mode method |
| title_full_unstemmed | Robust H∞ control for delayed systems with randomly varying nonlinearities under uncertain occurrence probability via sliding mode method |
| title_short | Robust H∞ control for delayed systems with randomly varying nonlinearities under uncertain occurrence probability via sliding mode method |
| title_sort | robust h∞ control for delayed systems with randomly varying nonlinearities under uncertain occurrence probability via sliding mode method |
| topic | Discrete delayed systems stochastic systems sliding mode control randomly varying no nlinearities uncertain occurrence probability |
| url | http://dx.doi.org/10.1080/21642583.2018.1474143 |
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