Containment control for high‐order multi‐agent systems with heterogeneous time delays

Wang, Xiaoping; Shi, Lei; Shao, Jingliang

doi:10.1049/iet-cta.2017.1043

Cited by 20 publications

(11 citation statements)

References 35 publications

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“…From (23) and (24), by exploiting the boundedness of the communication time-delay and by differentiating both V 2 (x(t )) and V 3 (x(t )) along the trajectories of the closed-loop system, we obtain:…”

Section: Theoremmentioning

confidence: 99%

A L2‐gain robust PID‐like protocol for time‐varying output formation‐containment of multi‐agent systems with external disturbance and communication delays

Tommasi

Lui

Petrillo

et al. 2021

IET Control Theory & Appl

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This paper addresses the time-varying output formation-containment control problem for homogeneous high-order linear Multi-Agent Systems (MASs). In this context, a PID-like output-feedback control strategy is proposed capable to guarantee that all followers reach and maintain a time-varying formation reference behaviour, as imposed by the multiple leaders, while keeping a prescribed offset with respect to it. Moreover, the proposed approach allows dealing with both communication impairments and external disturbances acting on agents dynamics. The asymptotic stability of the closed-loop MAS is analytically proved by means of a Lyapunov-Krasovskii approach. Stability conditions are expressed as a feasibility problem with Linear Matrix Inequalities constraints, whose solution provides the proper tuning of the robust PID control gains. Extensive numerical analysis confirms the theoretical framework and discloses the effectiveness of the proposed approach in ensuring the output time-varying formation-containment. 1 This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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Section: Theoremmentioning

confidence: 99%

A L2‐gain robust PID‐like protocol for time‐varying output formation‐containment of multi‐agent systems with external disturbance and communication delays

Tommasi

Lui

Petrillo

et al. 2021

IET Control Theory & Appl

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“…Therefore, it is more interesting to study the time‐varying formation control problem based on the discrete‐time model and to design the discretised formation controller [30, 31]. The time‐varying formation control problems for discrete‐time multi‐agent systems with communication delays [32–36] and switching topology [37–41] are investigated extensively. In [35], a Katz‐centrality‐based protocol is developed for the formation problem of second‐order discrete‐time multi‐agent systems with time‐varying transmission delay.…”

Section: Introductionmentioning

confidence: 99%

“…In [35], a Katz‐centrality‐based protocol is developed for the formation problem of second‐order discrete‐time multi‐agent systems with time‐varying transmission delay. In [36], heterogeneous time delays in the formation control problem for high‐order discrete‐time multi‐agent systems are taken into account. In [40], the robust formation control problem for non‐linear discrete‐time multi‐agent systems with the switching topology and the initial formation error is presented.…”

Section: Introductionmentioning

confidence: 99%

Time‐varying formation of second‐order discrete‐time multi‐agent systems under non‐uniform communication delays and switching topology with application to UAV formation flying

Wang

Han

et al. 2020

IET Control Theory & Appl

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“…For a complex-valued neural networks with time-varying delay, a waiting-time-based event-triggered scheme was designed and an exponential decay term was introduced to ensure the global stabilization in Wang et al (2020). For high-order MASs that were discrete-time, the containment problem with heterogeneous communication delays was concerned in Wang et al (2018) and Li, et al (2019). In Xiao et al (2018), the linear matrix inequality method was applied into formation control for general linear MASs comprising both time-varying delays and switching topologies.…”

Section: Introductionmentioning

confidence: 99%

Reduced-order observer-based consensus control of linear multi-agent systems over directed networks with nonuniform communication delays

Wang

Zhao

et al. 2020

Transactions of the Institute of Measurement and Control

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This paper considers a consensus control of a general linear multi-agent system with time-varying communication delays. Since each agent can only use the relative output information from its neighbors, a reduced-order observer-based control protocol is proposed to guarantee consensus on the directed communication network. The stability of the closed-loop system is analyzed for the cases with uniform delays and nonuniform time-varying delays, respectively. Moreover, the upper bounds of the communication delays are obtained respectively for the two cases. Finally, two numerical examples are provided to illustrate the proposed theoretical results.

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Containment control for high‐order multi‐agent systems with heterogeneous time delays

Cited by 20 publications

References 35 publications

A L2‐gain robust PID‐like protocol for time‐varying output formation‐containment of multi‐agent systems with external disturbance and communication delays

A L2‐gain robust PID‐like protocol for time‐varying output formation‐containment of multi‐agent systems with external disturbance and communication delays

Time‐varying formation of second‐order discrete‐time multi‐agent systems under non‐uniform communication delays and switching topology with application to UAV formation flying

Reduced-order observer-based consensus control of linear multi-agent systems over directed networks with nonuniform communication delays

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