Event-triggered guaranteed cost consensus control for second-order multi-agent systems based on observers

Luo, Yiping; Xiao, Xing; Cao, Jinde; Anping, Li; Lin, Guo

doi:10.1016/j.ins.2020.08.010

Cited by 32 publications

(15 citation statements)

References 37 publications

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“…Since the flexibility of Lyapunov candidate selection, bipartite formation conditions may be somewhat conservative. The method of enhancing the feasibility of the condition by defining the appropriate Lyapunov function as far as possible has been used in many literatures [44], [47], [50]. In addition, in the study of guaranteed-cost control problem, this paper requires that the connective topology of followers be undirected, which is also a kind of conservatism.…”

Section: Resultsmentioning

confidence: 99%

“…In addition, in the study of guaranteed-cost control problem, this paper requires that the connective topology of followers be undirected, which is also a kind of conservatism. In order to deal with performance functions with adjacency strength, such an assumption is required in many literature [40], [44], [51]. To study the guaranteed-cost control problem of directed graphs, it is necessary to define a relatively simple performance function like in [50].…”

Section: Resultsmentioning

confidence: 99%

“…In [43], the problem of event-triggered guaranteed cost consensus of discrete-time multi-agent systems was studied. In [44]- [46], the eventtriggered guaranteed cost consensus problem was considered for continuous-time multi-agent systems, but the Zeno phenomenon needs to be considered. Performance guaranteed sampled-data event-triggered consensus algorithm for multiagent systems was proposed in [47], however, the objective function does not involve the energy consumption of control input.…”

Section: Introductionmentioning

confidence: 99%

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Event-Triggered Control for Guaranteed-Cost Bipartite Formation of Multi-Agent Systems

2022

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This paper is concerned with event-triggered guaranteed-cost bipartite formation control of multi-agent systems with antagonistic interactions. In order to save the limited network communication bandwidth of multi-agent systems, event-triggered sampled-data transmission strategy is adopted. Event conditions are designed for both leader and followers to reduce the frequency of state transmission more effectively. According to the event-triggered sampled-data of the leader and followers, bipartite formation controllers are designed for followers. By using the event conditions and the Lyapunov method, the sufficient conditions for the realization of bipartite formation and guaranteed-cost bipartite formation are obtained in terms of linear matrix inequality, respectively. Finally, the effectiveness of the theoretical results is demonstrated by numerical examples.INDEX TERMS Multi-agent systems, guaranteed-cost, bipartite formation, antagonistic interactions, event-triggered sampling.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Event-Triggered Control for Guaranteed-Cost Bipartite Formation of Multi-Agent Systems

2022

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“…In ref. [22], an event-triggered sampling strategy consistent with second-order dynamics was discussed, in which the event-triggered protocol was composed of the states of each agent and its neighbours. In ref.…”

Section: Introductionmentioning

confidence: 99%

Dynamic event‐triggered control for leader‐following consensus of multiagent systems with the estimator

Qiu

Chen

et al. 2022

IET Control Theory & Appl

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In this paper, the leader-following consensus problem of general linear multi-agent systems with distributed dynamic event-triggered control is studied. A distributed controller with estimated states is designed and a dynamic event-triggered communication protocol with an auxiliary variable is proposed for each agent to update its triggering threshold. Under this control strategy, the systems only need the states in triggering instants as a result of the utilisation of estimated states. The existence of a dynamic threshold guarantees fewer triggering times, in contrast to the conventional static one. Meanwhile, the estimator is designed between the triggering instants to reduce the state shift, the next state of each agent depends on the local information of itself and its neighbours rather than global information. Then, the multi-agent systems can achieve consensus without Zeno behaviour. Finally, a simulation example is offered to verify the effectiveness and feasibility of the proposed approach.

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“…Therefore, further investigation of observer-based protocols without any extra information exchange between each agent and its neighbors, that is to say, using only each agent's output information to design observer, is of practical significance. So, numerous observer-based consensus methods [23][24][25][26][27][28][29][30] have been investigated to solve the consensus problem of multi-agent systems using measurement information. In Reference 23, Chen et al obtained the consensus protocol for linear multi-agent systems via dynamic output feedback, and gave necessary and sufficient conditions for solving the consensus problem.…”

mentioning

confidence: 99%

Observer‐based consensus control for multi‐agent systems with measurement noises and external disturbances

Huang

Chen

Zhan

2021

Intl J Robust & Nonlinear

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This study presents a distributed observer-based H ∞ consensus control for general linear multi-agent systems under measurement noises and external disturbances. By using the state linear transformation with the matrix constructed from the incidence matrix of a virtual chained directed spanning tree, we transform the observer-based consensus problem into an asymptotic stability problem of a corresponding augmented linear system. The augmented linear system consists of the reduced-order system deduced from dynamic equations of the agents and state estimation error system. Based on asymptotic stability of the augmented linear system, we present some sufficient conditions in terms of linear matrix inequalities for the existence of the distributed observer-based H ∞ consensus controller. Finally, the effectiveness of the proposed approach is illustrated by a numerical example.

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Event-triggered guaranteed cost consensus control for second-order multi-agent systems based on observers

Cited by 32 publications

References 37 publications

Event-Triggered Control for Guaranteed-Cost Bipartite Formation of Multi-Agent Systems

Event-Triggered Control for Guaranteed-Cost Bipartite Formation of Multi-Agent Systems

Dynamic event‐triggered control for leader‐following consensus of multiagent systems with the estimator

Observer‐based consensus control for multi‐agent systems with measurement noises and external disturbances

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