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.
Highlights
In the last few decades, switched systems have attracted much attention in the field of control systems [1] [2]
This paper investigates the problem of event-triggered finite-time H∞ control for a class of switched stochastic systems
We focus on the finite-time stabilization of the switched stochastic system (7) (8) with event-triggered control input (4), and some sufficient conditions which can ensure the switched stochastic system (7) (8) is finite-time H∞ stochastic stabilizable are given by the following theorem
Summary
In the last few decades, switched systems have attracted much attention in the field of control systems [1] [2]. This is mainly due to the fact that switched system is an important subclass of hybrid systems and has found many practical and broad applications [3] [4] [5] [6]. Many practical systems exist that can be well modeled as switched systems, which motivated a large number of researchers to investigate it widely. Quantities of important conclusions have been developed in the literature [7]-[12].
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
