Event‐based finite‐time H∞ synchronization control for switched complex networks with average dwell time

Abstract

This paper investigates the problem of the event-triggered finite-time nonfragile H ∞ synchronization control for a class of discrete time-delayed complex networks with switched topology. To decrease the unnecessary signal transmission and save control cost, the dynamic event-triggering scheme is employed in the controller-to-actuator channel where the varying triggering threshold is governed by a dynamical equation. The main purpose of this paper is to design a nonfragile synchronization controller such that the synchronization error dynamics satisfies both the finite-time boundedness and the H ∞ disturbance rejection level. By constructing appropriate Lyapunov-Krasovskii functional and using the average-dwell-time technique, the desired controller gains are acquired in terms of the solution to a set of linear matrix inequalities. Finally, a numerical simulation example is provided to demonstrate the effectiveness of the proposed synchronization controller design scheme.

Effect of large delay on pinning impulsive synchronization control: A strict comparison principle

“…Remark Many results have been dealing with dynamical systems with impulsive effects 11,30,33,38 recently, although some scholars have researched network synchronization 36,39,40 . Most of them have focused on the delay effects or controller design.…”

“…Many results have been dealing with dynamical systems with impulsive effects 11,30,33,38 recently, although some scholars have researched network synchronization. 36,39,40 Most of them have focused on the delay effects or controller design. Only some results consider pinning impulsive control for network synchronization of systems with large delays.…”

Asynchronous dynamic event‐triggered control for network systems with dual triggers

“…In the past few years, researchers have done a lot of valuable work in NCSs, including optimal control [1,2], multi-agent cooperative control [3,4], predictive control [5]. Typical results in this field include NCSs with switched networks [6], quantization [7], DOS attacks [8,9,10], and communication delay [11,12]. Due to the physical limitations of network bandwidth, the packet transmission strategy over periodic sampling may cause information overload in the communication channel.…”

Dynamic‐event‐based state estimation of complex networks against attacks and innovation outliers: The probability constraint case

“…In comparison with the isolated systems, a common assumption is that there exist excessively complicated network couplings in CNs, thereby resulting in some difficulties for analyzing the dynamics of CNs. The state estimation problems on CNs, seeking to estimate the actual system state in terms of the available measurement outputs, have stirred rapidly growing research attention, and a variety of popular state estimation schemes have been proposed to satisfy particular performance requirements 6,7 …”

“…To properly schedule the constrained network resources, some well‐known communication protocols have been employed to deal with the signal transmission procedures, such as the round‐robin protocol, the try‐once‐discard protocol and so forth 12,13 . On the other hand, the event‐based transmission strategy has also gained special research interest owing to its distinctive advantages in cutting down the data transmission quantities, and many elegant results on resource‐constrained networked systems with event‐triggered scheme (ETS) have been reported in the literature, see, for example, References 5,7, and 14 and the references therein. Roughly speaking, the static event‐triggered scheme (SETS) 5 and the dynamic event‐triggered scheme (DETS) 15,16 are two frequently utilized event‐based transmission mechanisms.…”