Dynamic Event-Based Control of Nonlinear Stochastic Systems
In this paper, the event-based control problems for nonlinear stochastic systems are investigated. First, a novel condition for stochastic input-to-state stability is established. Then, the dynamic event-triggered control approach is proposed and the stochastic stability of the resulting closed-loop...
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| Published in | IEEE transactions on automatic control Vol. 62; no. 12; pp. 6544 - 6551 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
IEEE
01.12.2017
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0018-9286 1558-2523 |
| DOI | 10.1109/TAC.2017.2707520 |
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| Abstract | In this paper, the event-based control problems for nonlinear stochastic systems are investigated. First, a novel condition for stochastic input-to-state stability is established. Then, the dynamic event-triggered control approach is proposed and the stochastic stability of the resulting closed-loop system is also proved. Next, a new dynamic self-triggering mechanism is developed and the additional internal dynamic variable is designed according to the predicted value of the system state and error, which ensures that the closed-loop system is stochastically stable. It is shown that the lower bounds of interexecution times by the proposed dynamic event-triggered and self-triggered control approaches are all larger than zero, and the so-called Zeno phenomenon is avoided. Compared with the static event-triggering and self-triggering results, the interexecution times by the proposed dynamic approaches are prolonged on the whole. Two simulation examples are provided to show the efficiency of the proposed approaches. |
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| AbstractList | In this paper, the event-based control problems for nonlinear stochastic systems are investigated. First, a novel condition for stochastic input-to-state stability is established. Then, the dynamic event-triggered control approach is proposed and the stochastic stability of the resulting closed-loop system is also proved. Next, a new dynamic self-triggering mechanism is developed and the additional internal dynamic variable is designed according to the predicted value of the system state and error, which ensures that the closed-loop system is stochastically stable. It is shown that the lower bounds of interexecution times by the proposed dynamic event-triggered and self-triggered control approaches are all larger than zero, and the so-called Zeno phenomenon is avoided. Compared with the static event-triggering and self-triggering results, the interexecution times by the proposed dynamic approaches are prolonged on the whole. Two simulation examples are provided to show the efficiency of the proposed approaches. |
| Author | Wei Xing Zheng Huaguang Zhang Yingchun Wang |
| Author_xml | – sequence: 1 givenname: Yingchun surname: Wang fullname: Wang, Yingchun – sequence: 2 givenname: Wei Xing surname: Zheng fullname: Zheng, Wei Xing – sequence: 3 givenname: Huaguang surname: Zhang fullname: Zhang, Huaguang |
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| CODEN | IETAA9 |
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| Snippet | In this paper, the event-based control problems for nonlinear stochastic systems are investigated. First, a novel condition for stochastic input-to-state... |
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| SubjectTerms | Closed loop systems Event-triggered control Nonlinear dynamical systems nonlinear stochastic systems self-triggered control Stability criteria stochastic input-to-state stability Stochastic processes Stochastic systems |
| Title | Dynamic Event-Based Control of Nonlinear Stochastic Systems |
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