Sliding mode control of Lur'e nonlinear switched systems under dynamic schedule protocol
In this work, the sliding mode control (SMC) problem is investigated for a class of Lur'e nonlinear switched systems subject to finite channels constraints, which may lead to data collision. To solve this phenomenon, the Weighted Try-Once-Discard (WTOD) protocol is proposed on the sensor-to-con...
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| Published in | International journal of systems science Vol. 54; no. 6; pp. 1330 - 1343 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
London
Taylor & Francis
26.04.2023
Taylor & Francis Ltd |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0020-7721 1464-5319 |
| DOI | 10.1080/00207721.2023.2177899 |
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| Abstract | In this work, the sliding mode control (SMC) problem is investigated for a class of Lur'e nonlinear switched systems subject to finite channels constraints, which may lead to data collision. To solve this phenomenon, the Weighted Try-Once-Discard (WTOD) protocol is proposed on the sensor-to-controller (S/C) channels to regulate which one sensor node is permitted to send data via the communication network at each instant. A key issue of this work is how to integrate the WTOD protocol into the design of observer and the sliding mode controller for the switched systems. To this end, a token-dependent observer is constructed to estimate the unmeasured states, and then an observer-based SMC law is properly designed. Moreover, by constructing a Lur'e-type Lyapunov function interconnected with a cone-bounded nonlinearity, some sufficient conditions are established such that the reachability with a sliding domain around the specified sliding surface is achieved, meanwhile, the exponential stability of the resultant closed-loop switched systems is guaranteed. Finally, some numerical simulation results are provided. |
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| AbstractList | In this work, the sliding mode control (SMC) problem is investigated for a class of Lur'e nonlinear switched systems subject to finite channels constraints, which may lead to data collision. To solve this phenomenon, the Weighted Try-Once-Discard (WTOD) protocol is proposed on the sensor-to-controller (S/C) channels to regulate which one sensor node is permitted to send data via the communication network at each instant. A key issue of this work is how to integrate the WTOD protocol into the design of observer and the sliding mode controller for the switched systems. To this end, a token-dependent observer is constructed to estimate the unmeasured states, and then an observer-based SMC law is properly designed. Moreover, by constructing a Lur'e-type Lyapunov function interconnected with a cone-bounded nonlinearity, some sufficient conditions are established such that the reachability with a sliding domain around the specified sliding surface is achieved, meanwhile, the exponential stability of the resultant closed-loop switched systems is guaranteed. Finally, some numerical simulation results are provided. |
| Author | Zhao, Haijuan Ma, Juan |
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| SubjectTerms | Channels Closed loops Controllers Liapunov functions Nonlinear control Nonlinear systems Nonlinearity Sliding mode control Surface stability Switched systems Weighted Try-Once-Discard protocol |
| Title | Sliding mode control of Lur'e nonlinear switched systems under dynamic schedule protocol |
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