Cooperative output regulation of heterogeneous linear multi-agent systems with edge-event triggered adaptive control und
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ORIGINAL ARTICLE
Cooperative output regulation of heterogeneous linear multi-agent systems with edge-event triggered adaptive control under timevarying topologies Juan Zhang1 • Huaguang Zhang1
•
Yanzheng Lu2 • Shaoxin Sun1
Received: 17 January 2020 / Accepted: 20 March 2020 Ó Springer-Verlag London Ltd., part of Springer Nature 2020
Abstract This paper discusses the cooperative output regulation (COR) problem for the heterogeneous linear multi-agent systems (MAS)s with time-varying communication topologies. Both full distributed state asynchronous edge-event triggered adaptive controller and dynamic output feedback asynchronous edge-event triggered adaptive controller are designed, which all can ensure that COR problem is achieved and Zeno behavior will not exist in the MASs. Different from other works about COR problem, one of the highlights of the paper is that agents in the MASs are divided into three groups, that is, exosystem, informed agents directly receive external signal and uninformed agents that cannot directly receive external signal. The communication between the exosystem and the informed agents is not continuous by designing the eventtriggered mechanism or asynchronous edge-based mechanism in the link composed of the exosystem and the informed agent. Between the informed agent and the uninformed agent, the asynchronous edge-based mechanism is proposed to reduce communication in the MASs. The methods designed can effectively reduce the waste of system resources. Note that the triggering mechanisms and adaptive controllers are all not required global information of the networks. Keywords Cooperative output regulation Adaptive controller Fully distributed control Time-varying communication topologies
1 Introduction In recent years, cooperative control of MASs [1, 2] has been widely used in different fields, such as aircraft formation control [3], target position estimation in sensor network [4], containment control [5], formation control [6], tracking
& Huaguang Zhang [email protected] Juan Zhang [email protected] Yanzheng Lu [email protected] Shaoxin Sun [email protected] 1
College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, China
2
School of Mechanical Engineering and Automation, Northeastern University, Shenyang, Liaoning, China
problem [7] and so on. Many scholars have done related research on it, among which distributed output regulation [8–10] has gradually become a hot issue. COR problem refers to that the output of each individual agent of the MASs can track the reference input asymptotically or restrain the interference signal asymptotically, in which the reference input and interference signal are generated by the external system and the closed-loop MASs are kept stable. For the COR problem [11], the exosystem can be regarded as the leader of the MASs to some extent. It is worth mentioning that many research achievements [12–18] have been made on the issue of COR. Nevertheless, all th
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