An Interval-Appointed Looped-Functional Approach for Switching Event-Triggered Systems With Input Saturation and Its Application to Memory-Based Event-Triggered Control
Zhen Wang, Yanyan Ni, Yingjie Fan, Jianwei Xia
Abstract
This paper first presents an intervalappointed looped-functional approach for the stability of switching event-triggered (SET) control systems with input saturation. In order to improve the resource utilization of the networked control system (NCS) while maintaining satisfactory system performance, a memory term and a dynamic triggering threshold are introduced into the existing SET scheme. Thus, a dynamic memory-based SET (DMSET) scheme is newly designed. To analyze the stability of the controlled system, a useful lemma is established in which an interval-appointed loopedfunctional is constructed, and a combined Lyapunov method is developed accordingly to derive a relaxed stability criterion. This method contributes to discarding the positive definiteness of certain Lyapunov matrices in the interval-appointed looped-functional and lays a groundwork for the stability analysis of other SET-based saturated control systems. As an application, an LMI-based less conservative stability criterion for DMSET control systems is then derived. Two optimization algorithms are given to maximize the estimates of the region of attraction (RoA) and the permissible length of the sampling period, respectively. In the end, the advantages of the intervalappointed looped-functional approach and the DMSET scheme are demonstrated by two illustrative examples.