Leader-following consensus of multi-agent systems under fixed and switching topologies ☆

Brief paper: Consensus of high-order linear systems using dynamic output feedback compensator: Low gain approach

This paper studies the consensus problem of multi-agent systems with general linear dynamics. We propose a novel event-triggered control scheme with some desirable features, namely, distributed, asynchronous, and independent. It is shown that consensus of the controlled multi-agent system can be reached asymptotically. The feasibility of the event-triggered strategy is further verified by the exclusion of both singular triggering and Zeno behavior. Moreover, a self-triggered algorithm is developed, where the next triggering time instant for each agent is determined based on its local information at the previous triggering time instant. Continuous monitoring of measurement errors is thus avoided. The effectiveness of the proposed control schemes is demonstrated by two examples.

Consensus of Linear Multi-Agent Systems by Distributed Event-Triggered Strategy

In this paper, we consider the cooperative output regulation of linear multi-agent systems under switching network. The problem can be viewed as a generalization of the leader-following consensus problem of multi-agent systems. Due to the limited information exchanges of different subsystems, the problem cannot be solved by the decentralized approach and is not allowed to be solved by the centralized control. By devising a distributed observer network, we can solve the problem by both dynamic state feedback control and dynamic measurement output feedback control. As an application of our main result, we show that a special case of our results leads to the solution of the leader-following consensus problem of linear multi-agent systems.

Cooperative Output Regulation With Application to Multi-Agent Consensus Under Switching Network

In this paper, we first establish a stability result for a class of linear switched systems involving Kronecker product. The problem is interesting in that the system matrix does not have to be Hurwitz at any time instant. This class of linear switched systems arises in the control of multi-agent systems under switching network topology. As applications of this stability result, we give the solvability conditions for both the leaderless consensus problem and the leader-following consensus problem for general marginally stable linear multi-agent systems under switching network topology. In contrast with some existing results, our results only assume that the dynamic graph is uniformly connected.

Stability of a Class of Linear Switching Systems with Applications to Two Consensus Problems

In this paper the consensus problem is considered for multi-agent systems, in which all agents have an identical linear dynamic mode that can be of any order. The main result is that if the adjacent topology of the graph is frequently connected then the consensus is achievable via local-information-based decentralized controls, provided that the linear dynamic mode is completely controllable. Consequently, many existing results become particular cases of this general result. In this paper, the case of fixed connected topology is discussed first. Then the case of switching connected topology is considered. Finally, the general case is studied where the graph topology is switching and only connected often enough. Copyright © 2008 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society

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Consensus of multi-agent linear dynamic systems†

In the paper, an extension of LaSalle's Invariance Principle to a class of switched linear systems is studied. One of the motivations is the consensus problem in multi-agent systems. Unlike most existing results in which each switching mode in the system needs to be asymptotically stable, this paper allows that the switching modes are only Lyapunov stable. Under certain ergodicity assumptions, an extension of LaSalle's Invariance Principle for global asymptotic stability is obtained. Then it is used to solve the consensus reaching problem of certain multi-agent systems in which each agent is modeled by a double integrator, and the associated interaction graph is switching and is assumed to be only jointly connected.

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An Extension of LaSalle's Invariance Principle and Its Application to Multi-Agent Consensus

A new multi-agent based congestion evacuation model incorporating panic behavior is proposed in this paper for simulating pedestrian evacuation in public places such as a stadium. Different from th ...

Modeling and simulating for congestion pedestrian evacuation with panic

In this paper, we study the consensus problem of multi-agent systems in which each agent adopts the same linear model that can be of any order. We consider the case where only the relative output error between the neighboring agents can be measured. In order to solve the consensus problem, two kinds of decentralized control laws are designed. We first show that a static output error feedback control can solve the consensus problem if some further constraints on the system model is imposed. Then we use an observer based approach to design a dynamic output error feedback consensus control. We note that with the observer based approach, some information exchange between the agents is needed unless the associated adjacent graph is completely connected.

Jinhuan Wang

Papers

Consensus of multi-agent linear dynamic systems†

An Extension of LaSalle's Invariance Principle and Its Application to Multi-Agent Consensus

Modeling and simulating for congestion pedestrian evacuation with panic

Consensus of high order linear multi-agent systems using output error feedback

Distributed sampled-data control of nonholonomic multi-robot systems with proximity networks ☆