Robust Containment Control of Uncertain Multi-Agent Systems With Time-Delay and Heterogeneous Lipschitz Nonlinearity

Parsa, Mohsen; Danesh, Mohammad

doi:10.1109/tsmc.2019.2912268

Cited by 38 publications

(9 citation statements)

References 40 publications

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“…The majority of the containment control publications are with linear multi-agents systems. As far as this author knows, the publications with systems with nonlinearity are small in number (see [21]- [26]). Therefore, motivated by Ding [15], Li et al [21] and Wen et al [22] for containment control of the multi-agents system, a containment controller with state feedback is proposed for a multi-agents system with Lipschitz nonlinearity.…”

Section: Indonesian J Elec Eng and Comp Scimentioning

confidence: 99%

State feedback containment control of multi-agents system with lipschitz nonlinearity

Hanis

Isira

Yusop

et al. 2021

IJEECS

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<p>This paper studies the containment control problem of the leader-follower configuration in a multi-agents system included with a type of nonlinearity such as Lipschitz with respect to continuous-time and directed spanning forest communication network topology. A state feedback containment controller is designed and proposed with control theory and the Laplacian network structure where it utilizes the relative information of each agent. The controller designed ensures that the followers are contained by the leaders that form the convex hull formation. For the containment to happen, a minimum of one leader is needed to have a direct communication trajectory to the followers. Lyapunov stability theory is used to provide the stability conditions after analyzing the network structure. Finally, it has been shown from simulation that the followers are contained successfully with the proposed controller.</p>

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Section: Indonesian J Elec Eng and Comp Scimentioning

confidence: 99%

State feedback containment control of multi-agents system with lipschitz nonlinearity

Hanis

Isira

Yusop

et al. 2021

IJEECS

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“…In [22][23][24], different cooperative control problems of heterogeneous MASs under both Markovian switching topologies and time delays has been investigated. Time delays are often inevitable in practice and have attracted great attention by the control community, see, for example, [25][26][27][28][29]. A common feature of most existing works is that only bounded delays are investigated.…”

Section: Introductionmentioning

confidence: 99%

Stochastic Distributed Tracking of Heterogeneous Multi-Agent Systems with Markovian Switching Topologies and Infinite Delays

Guo,

Feng,

2024

Preprint

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This paper investigates the distributed mean square output tracking problem of heterogeneous multi-agent systems with Markovian switching topologies and infinite transmission delays. The main challenge of the concerned problem arises from how to deal with Markovian switching topologies and infinite transmission delays simultaneously. A novel distributed observer is developed based on a newly proposed Lyapunov functional method. Then, a distributed controller based on the distributed observer is developed. It is shown that the stochastic distributed tracking problem is solved in the sense of mean square if the union graph of the underlying Markovian switching topology contains a spanning tree. A distinctive feature of the proposed controller is that the infinite delays are not required to be known. Finally, the effectiveness of the proposed controller is illustrated by two numerical examples.

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“…[13][14][15] To solve that issue, scholars integrate some advanced control algorithms with it and developed containment control protocols based on dynamic leaders. 10,[16][17][18][19] In order to enhance the flexibility of containment control, switching topology containment control has been investigated. 10 Considering the input delay, the cooperative containment control for multi-agent systems with high-order linear dynamics under a directed graph was studied in depth, 17 which utilized an observer based on the relative outputs of neighboring agents.…”

Section: Introductionmentioning

confidence: 99%

Distributed finite‐time backstepping adaptive containment control for multiple unmanned aerial vehicles with input saturation

Liu,

Li,

Guo

et al. 2024

Intl J Robust & Nonlinear

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This paper investigates a distributed adaptive finite‐time containment control scheme for multiple unmanned aerial vehicles subject to external disturbances and input saturation. Combined with a novel indicator of the saturation degree designed by the hyperbolic tangent function, an adaptive method is proposed to deal with the input saturation issue, which considers both symmetry and asymmetry saturation. Moreover, to address the problem of the “explosion of terms” inherent in the traditional backstepping controller design, a fixed‐time sliding mode differentiator is utilized to approximate the derivative of the virtual signal in the command‐filtered backstepping method. Finally, the convergence of the errors and the practicability of the control law are verified by Lyapunov stability analysis and numerical simulations.

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Robust Containment Control of Uncertain Multi-Agent Systems With Time-Delay and Heterogeneous Lipschitz Nonlinearity

Cited by 38 publications

References 40 publications

State feedback containment control of multi-agents system with lipschitz nonlinearity

State feedback containment control of multi-agents system with lipschitz nonlinearity

Stochastic Distributed Tracking of Heterogeneous Multi-Agent Systems with Markovian Switching Topologies and Infinite Delays

Distributed finite‐time backstepping adaptive containment control for multiple unmanned aerial vehicles with input saturation

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