Containment Control for General Second-Order Multiagent Systems With Switched Dynamics

Wang, Fuyong; Ni, Yuan‐Hua; Liu, Zhongxin; Chen, Zengqiang

doi:10.1109/tcyb.2018.2869706

Cited by 87 publications

(29 citation statements)

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“…Recently, a great deal of attention has been devoted to containment control of MASs, and thus obtained some important results [6][7][8][9][10][11][12]. In [6], containment problem was addressed for leader-follower MASs involving first-order dynamics in the presence of switching communication topologies.Containment of MASs involving second-order dynamics was investigated in [7], where only position information is used and velocity and acceleration information of all agents is unavailable.…”

Section: Introductionmentioning

confidence: 99%

“…In [6], containment problem was addressed for leader–follower MASs involving first‐order dynamics in the presence of switching communication topologies.Containment of MASs involving second‐order dynamics was investigated in [7], where only position information is used and velocity and acceleration information of all agents is unavailable. For second‐order MASs with continuous‐time and discrete‐time dynamics, containment control law was proposed in [8] to deduce necessary and sufficient conditions. By virtue of a dynamic output approach, containment control for MASs with higher‐order dynamics was studied in [9], and a new observer‐type controller was designed on the basis of relative output information.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Bipartite containment of descriptor multi‐agent systems via an observer‐based approach

Xiao

Zhan

Yan

2020

IET Control Theory & Appl

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This study considers the bipartite containment problem for a class of descriptor multi-agent systems (MASs) under a structurally balanced graph. A new bipartite containment control protocol acting on each follower is proposed on the basis of designing a singular observer, where relative output information is utilised. By employing the stability theory of descriptor systems and multiple Lyapunov function technique, some sufficient criteria are derived to guarantee observer-based bipartite containment of descriptor MASs. The feasibility of obtained theoretical results is finally verified via performing simulations.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Bipartite containment of descriptor multi‐agent systems via an observer‐based approach

Xiao

Zhan

Yan

2020

IET Control Theory & Appl

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“…After a review of the literature, the containment control problem can be categorized from different aspects such as agent dynamics, the leader maneuverer type, control protocol, sensor type, time delay, etc. With regard to agent dynamics, the containment control problem has been studied for multi‐agent systems with first‐order and second‐order integrators [1], general second‐order multi‐agent systems [2], high‐order multi‐agent systems [3], linear multi‐agent systems [4], and nonlinear multi‐agent systems [5]. With regard to the leader's trajectories, the containment control problem can be categorized into static and dynamic leader problems.…”

Section: Introductionmentioning

confidence: 99%

Containment control of high‐order multi‐agent systems with heterogeneous uncertainties, dynamic leaders, and time delay

Parsa

Danesh

2019

Asian Journal of Control

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This paper deals with containment control of multi‐agent systems where high‐order canonical controllable linear systems with heterogeneous uncertainties are considered as the agents' dynamics. The leaders are dynamic with polynomial‐type trajectories. In this paper, the control protocol is smooth and it is constructed from a flexible combination of local state feedback controller and a PI‐type protocol. Utilizing this protocol, containment without suffering from chattering phenomena and consideration of any bound on the agents' states is achieved. In addition, the flexibility of this protocol helps the designer to reduce or even discard the inter‐agent communication. Recalling the significant effects of time delay on the performance and stability of multi‐agent systems, in this paper input time delay is also considered. Following a Lyapunov‐Krasovskii stability approach, two linear matrix inequalities (LMIs) are derived, and then solving the LMIs' gains of the protocol are attained such that asymptotic stability of the multi‐agent system under switching graph topology is guaranteed. Finally, the feasibility of the LMIs and the validity of the theoretical results are demonstrated through some numerical examples.

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“…For distributed consensus-seeking, some appropriate distributed control strategies are adopted such that a group of autonomous agents asymptotically reach an agreement on a common value. The consensus-seeking problems have been intensively discussed from different perspectives including leaderless consensus (i.e., consensus without any leader) [5][6][7][8][9][10], leader-following consensus (i.e., consensus with a leader) [11][12][13][14][15], and containment control (i.e., consensus with multiple leaders) [16][17][18][19][20]. Note that the abovementioned references only address the consensus problems of multi-agent systems under continuous communication.…”

Section: Introductionmentioning

confidence: 99%

Leader-following consensus of second-order nonlinear multi-agent systems with intermittent position measurements

Wang

Liu

Chen

2019

Sci. China Inf. Sci.

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This work studies the leader-following consensus problem of second-order nonlinear multi-agent systems with aperiodically intermittent position measurements. Through the filter-based method, a novel intermittent consensus protocol without velocity measurements is designed for each follower exclusively based on the relative position measurements of neighboring agents. Under the common assumption that only relative position measurements between the neighboring agents are intermittently used, some consensus conditions are derived for second-order leader-following multi-agent systems with inherent delayed nonlinear dynamics. Moreover, for multi-agent systems without inherent delayed nonlinear dynamics, some simpler consensus conditions are presented. Finally, some simulation examples are presented to verify and illustrate the theoretical results.

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Containment Control for General Second-Order Multiagent Systems With Switched Dynamics

Cited by 87 publications

References 50 publications

Bipartite containment of descriptor multi‐agent systems via an observer‐based approach

Bipartite containment of descriptor multi‐agent systems via an observer‐based approach

Containment control of high‐order multi‐agent systems with heterogeneous uncertainties, dynamic leaders, and time delay

Leader-following consensus of second-order nonlinear multi-agent systems with intermittent position measurements

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