Bipartite Fixed-Time Output Consensus of Heterogeneous Linear Multiagent Systems

Zhang, Huaguang; Duan, Jie; Wang, Yingchun; Gao, Zhiyun

doi:10.1109/tcyb.2019.2936009

Cited by 159 publications

(58 citation statements)

References 37 publications

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“…Assumption 1 imposes a restriction on the input matrix B. As indicated in the recent works, 25,38 this restriction not only helps to improve the control ability by providing control redundancy but also contributes to the solvability of the fixed-time consensus of linear systems. However, the focused agents in References 25,38 are delay-free.…”

Section: Problem Formulationmentioning

confidence: 99%

“…Assumptions 2 and 3 are standard conditions and have been commonly used in the existing works, concerning the fixed/finite-time leaderless consensus problem 33,36,40,49 and the fixed/finite-time leader-follower consensus problem. 18,19,25,34,39 Consider the multi-agent system (5) with the leader (7), the control objective of this article is to design a distributed event-triggered protocol u i (t) using only local information exchange for each agent such that both the leaderless consensus and the leader-follower consensus can be achieved within a fixed settling time regardless of the initial conditions, which is summarized as follows.…”

Section: Problem Formulationmentioning

confidence: 99%

“…With this in mind, the authors of References 19‐22 considered the fixed‐time consensus problem for multi‐agent systems with high‐order integrator‐type dynamics, and the results concerning robust fixed‐time consensus with parametric uncertainties were presented in References 23,24. In addition, the bipartite fixed‐time consensus problem was addressed in Reference 25 for linear multi‐agent systems, which are more practical than the integrator‐type systems. One common feature of the aforementioned works is that continuous communication and controller updates are required for each agent to achieve consensus.…”

Section: Introductionmentioning

confidence: 99%

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Distributed fixed‐time event‐triggered consensus of linear multi‐agent systems with input delay

Wang

2021

Intl J Robust & Nonlinear

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This article investigates the distributed fixed-time event-triggered consensus problem for linear multi-agent systems with input delay. The Artstein-Kwon-Pearson reduction approach is used to convert the delay-dependent system to a delay-free one. Based on the delay-free system, two distributed event-triggered protocols are designed based on local information exchange to address the leaderless consensus and the leader-follower consensus problems. In the proposed consensus protocols, both continuous controller updates and continuous communication as well as the Zeno behavior are successfully excluded. Detailed convergence analysis demonstrates that the closed-loop system is fixed-time stable regardless of the initial conditions.Finally, some simulation examples are provided to validate the theoretical results. K E Y W O R D Sevent-triggered consensus, fixed-time convergence, input delay, multi-agent systems INTRODUCTIONRecent years have witnessed considerable developments of consensus of multi-agent systems. 1 The driving force behind the research on this problem partly comes from its wide applications in sensor networks, 2 UAV formation, 3 and salvo attack of missiles. 4 The leaderless consensus and the leader-follower consensus are two fundamental problems in this area, which have been widely investigated in the existing works [5][6][7][8] and are also the focus of this article. Convergence time is an important performance index for multi-agent consensus from a practical point of view. Indeed, designing consensus protocols with finite-time stability, instead of asymptotic stability, contributes to better performance in higher precision, stronger robustness, and faster convergence rate. 9 However, lack of uniform boundedness of the settling time function regardless of the initial conditions restricts the practical applications of the existing finite-time consensus algorithms. 10,11 As an extension of the finite-time stability, the fixed-time stability, first referred in Reference 12, guarantees the settling time to be globally uniformly bounded regardless of the initial conditions. To this end, much effort has been made toward achieving fixed-time multi-agent consensus for first-or second-order systems. [13][14][15] Moreover, output-feedback based distributed algorithms were designed in References 16-18 to achieve the fixed-time consensus of second-order systems. Compared with first-or second-order systems, it is known that high-order systems are more attractive but technically challenging. With this in mind, the authors of References 19-22 considered the fixed-time consensus problem for multi-agent systems with high-order integrator-type dynamics, and the results concerning robust fixed-time consensus with parametric uncertainties were presented in References 23,24. In addition, the bipartite fixed-time consensus problem 2526

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Section: Problem Formulationmentioning

confidence: 99%

Section: Problem Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Distributed fixed‐time event‐triggered consensus of linear multi‐agent systems with input delay

Wang

2021

Intl J Robust & Nonlinear

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“…Altafini first introduced the bipartite consensus concept and proved that the bipartite consensus is achieved if and only if the signed graph is structurally balanced 37 . And then the system dynamics have been extended to general linear systems 38‐42 . Nevertheless, in works References 38‐42, the communication between neighbor agents was continuous.…”

Section: Introductionmentioning

confidence: 99%

“…And then the system dynamics have been extended to general linear systems 38‐42 . Nevertheless, in works References 38‐42, the communication between neighbor agents was continuous. To address this scenario, some bipartite consensus control under event‐triggered transmission mechanism was proposed 43‐46 .…”

Section: Introductionmentioning

confidence: 99%

Fully distributed bipartite leader‐following consensus for uncertain linear multi‐agent systems with event‐triggered mechanism

Cai

Song

2020

Intl J Robust & Nonlinear

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This paper investigates the distributed bipartite leader‐following consensus for uncertain linear multi‐agent systems based on event‐triggered mechanism. Both cooperative communication and hostile communication between neighbor agents are taken into account. The distributed static bipartite event‐triggered controller is first proposed to address the consensus issue. Note that the communication in both controller updating and triggering condition monitoring is intermittent, thus the communication resources can be greatly saved. Then the fully distributed adaptive bipartite event‐triggered controller is designed such that the bipartite leader‐following consensus problem can be achieved. Different from the existing control schemes, the proposed controller can be independent of the global information of the communication topology, can achieve the intermittent communication between neighbors, can suppress the effect of uncertainty, and is applicable for the signed communication topology. Moreover, the Zeno behavior in both triggering mechanisms can be excluded. Finally, some numerical examples are given to illustrate the feasibility of the main theoretical findings.

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Dynamic output feedback control for wireless power transfer systems

Dai

Hua

Sun

et al. 2023

Asian Journal of Control

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This article investigates the control problem for the wireless power transfer (WPT) system, which has the characteristics of nonlinearity, high order, and associativity. Initially, a dynamic output feedback controller based on the WPT system is designed and analyzed. This controller can effectively enhance the stability of the system with stochastic disturbance. Besides, it does not need the knowledge of the system state in detail and has more adjustable parameters. Further, based on the Lyapunov theorem and stochastic stability theorem, a new stability result of the WPT with DOFC is obtained. In the stability results, all the variables in the system are still preserved after inequality expansion and contraction. Finally, the simulation results expound the effectiveness of the designed control scheme.

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Bipartite Fixed-Time Output Consensus of Heterogeneous Linear Multiagent Systems

Cited by 159 publications

References 37 publications

Distributed fixed‐time event‐triggered consensus of linear multi‐agent systems with input delay

Distributed fixed‐time event‐triggered consensus of linear multi‐agent systems with input delay

Fully distributed bipartite leader‐following consensus for uncertain linear multi‐agent systems with event‐triggered mechanism

Dynamic output feedback control for wireless power transfer systems

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