Dynamic Event-Based Control of Nonlinear Stochastic Systems

• Published in: IEEE transactions on automatic control Vol. 62; no. 12; pp. 6544 - 6551
• Main Authors: Wang, Yingchun, Zheng, Wei Xing, Zhang, Huaguang
• Format: Journal Article
• Language: English
• Published: IEEE 01.12.2017
• Subjects: 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
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2017.2707520

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.