Event-triggered sampling scheme for pinning control in multi-agent networks with general nonlinear dynamics

Abstract

Event-triggered control strategy of complex dynamical networks is motivated by further applications of embedded microprocessors equipped in the nodes with limited computation and storage resources that gather information and actuate the individual controller updates. One expects that the numbers of controller updates and measurement broadcasts decrease significantly. This paper presents a novel framework of distributed event-triggered asynchronous intermittent communication strategy for pinning controllability in complex dynamical directed networks in which each node is equipped with nonlinear dynamics with or without time delay. The proposed method extends the previous works on pinning control by considering limited communication capacities through strictly noncontinuous decentralized information exchange and considers the existing continuous control schemes as special cases when the corresponding tuning parameters in the designed events are equal to zeros. Based on properties of M-matrices, some analytical criteria are established to guarantee that all follower nodes in a network can globally asymptotically converge to a homogenous state of a leader node. Control inputs exerted on all follower nodes are only triggered at their individual event instants, which reduce the amount of communication in information channels and lower the frequency of controller updates to favor a digital implementation. A positive lower bound for the broadcasting period, i.e., the difference between two successive broadcasting time instants, can be achieved, which excludes the Zeno triggering behavior before the synchronization is achieved. Simulation results show effectiveness of the proposed approach and illustrate correctness of the theoretical results.

Finite‐time consensus for second‐order leader‐following multi‐agent systems with external disturbances and internal nonlinear dynamics based on event‐triggered pinning strategy

“…For example, the quantized information problem of an event‐triggered pinning method was evaluated to obtain actual consensus 28 . The agent network by the sampling scheme of the pinning method has been studied 29 . An event‐triggered leader‐following agent system is considered after an implementation agreement 30 .…”

“…28 The agent network by the sampling scheme of the pinning method has been studied. 29 An event-triggered leader-following agent system is considered after an implementation agreement. 30 The consensus tracking problem is investigated for a class of continuous switched stochastic nonlinear multiagent systems with an event-triggered control strategy.…”

Input-observer event-based consensus in linear multi-agent systems

“…It considers high-order MASs with Lipschitz nonlinearity and input delay with a directed communication graph where an observer is designed to estimate disturbance under the delay constraints. In Li et al (2016), a distributed event-triggered asynchronous intermittent communication in complex dynamical directed networks has been considered. It has been assumed that each node has nonlinear dynamics, and the authors have also considered a delay.…”

Node‐to‐node consensus of multi‐agent networks with event‐triggered control and packet losses

“…For instance, by utilizing an event‐triggered control scheme, consensus of multi‐agent networks with switching topologies was addressed [10]. Pinning control of the nonlinear multi‐agent networks via the event‐triggered strategy was investigated [11]. In addition, novel distributed event‐triggered sampling schemes were proposed for the consensus of second‐order multi‐agent systems with fixed or switching topologies [13].…”

“…Compared with the traditional sampled-data strategy, a controller in the event-triggered framework is updated at event-triggered instants, which are decided by the specific function rather than a clock device, accordingly, unnecessary control updates can be avoided. So far, event-triggered control has been widely employed for consensus of multi-agent networks [10][11][12][13]. For instance, by utilizing an event-triggered control scheme, consensus of multi-agent networks with switching topologies was addressed [10].…”