TITLE:
Event-Triggered Finite-Time H∞ Control for Switched Stochastic Systems
AUTHORS:
Aiqing Zhang
KEYWORDS:
Average Dwell Time, Event-Triggering Scheme, Finite-Time Stochastic Stability (FTSS), Linear Matrix Inequalities (LMIS), Switched Stochastic Systems
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.8 No.10,
October
20,
2020
ABSTRACT: This paper investigates the problem of event-triggered finite-time H∞ control for a class of switched stochastic systems. The main objective of this study is to design an event-triggered state feedback H∞ controller such that the resulting closed-loop system is finite-time bounded and satisfies a prescribed H∞ level in some given finite-time interval. Based on stochastic differential equations theory and average dwell time approach, sufficient conditions are derived to ensure the finite-time stochastic stability with the prescribed H∞ performance for the relevant closed-loop system by employing the linear matrix inequality technique. Finally, the desired state feedback H∞ controller gain matrices can be expressed in an explicit form.