Distributed resource allocation of second‐order nonlinear multiagent systems

Li, Shiling; Nian, Xiaohong; Deng, Zhenhua; Chen, Zhao; Meng, Qing

doi:10.1002/rnc.5543

Cited by 16 publications

(24 citation statements)

References 38 publications

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“…Compared with existing works, the nonlinear dynamics considered in this work are more general in at least two aspects. On one hand, unlike [24], [25] where the nonlinear functions f i 's are required to satisfy the globally Lipschitz condition, this work does not suffer from such a restriction. On the other hand, the nonlinear dynamics considered in this work contain external disturbances generated by an exosystem (3), which cannot be handled in [24], [25], [27].…”

Section: Problem Formulationmentioning

confidence: 99%

“…On one hand, unlike [24], [25] where the nonlinear functions f i 's are required to satisfy the globally Lipschitz condition, this work does not suffer from such a restriction. On the other hand, the nonlinear dynamics considered in this work contain external disturbances generated by an exosystem (3), which cannot be handled in [24], [25], [27]. It is also worth pointing out that the exosystem (3) can produce a large class of external signals, such as sinusoidal, step and ramp type signals [36].…”

Section: Problem Formulationmentioning

confidence: 99%

“…However, the proposed controller can only be applied when the unknown nonlinear dynamics are linearly parameterized, and thus greatly limits the scope of its application. The authors in [24] and [25] investigate the distributed optimization problem and resource allocation problem of multi-agent systems with second-order nonlinear dynamics respectively, where the nonlinear functions are unfortunately required to be globally Lipschitz. The distributed optimization problem of multi-agent systems with more general nonlinear dynamics in normal form are considered in [26], [27].…”

Section: Introductionmentioning

confidence: 99%

“…1) In contrary to undirected or balanced directed graphs considered in [9]- [11], [25]- [27], this work concentrates on the more general and also more challenging weight-unbalanced directed networks. It is shown that the proposed controller is capable of tackling the imbalance arising from general directed networks, and thus is expected to be more widely applicable.…”

Section: Introductionmentioning

confidence: 99%

“…The adaptive control technique is exploited in controller design for practical cases where no prior knowledge of the uncertainties is available. In addition, an internal model is designed for each agent to deal with the external disturbance, which is not considered in [25]- [27].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Optimal Output Consensus of Second-Order Uncertain Nonlinear Systems on Weight-Unbalanced Directed Networks

Zhang,

Liu,

2021

Preprint

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This paper investigates the distributed optimal output consensus problem of second-order uncertain nonlinear multi-agent systems over weight-unbalanced directed networks. Under the standard assumption that local cost functions are strongly convex with globally Lipschitz gradients, a novel distributed dynamic state feedback controller is developed such that the outputs of all the agents reach the optimal solution to minimize the global cost function which is the sum of all the local cost functions. The controller design is based on a two-layer strategy, where a distributed optimal coordinator and a reference-tracking controller are proposed to address the challenges arising from unbalanced directed networks and uncertain nonlinear functions respectively. A key feature of the proposed controller is that the nonlinear functions containing the uncertainties and disturbances are not required to be globally Lipschitz. Furthermore, by exploiting adaptive control technique, no prior knowledge of the uncertainties or disturbances is required either. Two simulation examples are finally provided to illustrate the effectiveness of the proposed control scheme.

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Section: Problem Formulationmentioning

confidence: 99%

Section: Problem Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Optimal Output Consensus of Second-Order Uncertain Nonlinear Systems on Weight-Unbalanced Directed Networks

Zhang,

Liu,

2021

Preprint

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Distributed optimal resource allocation with second‐order multi‐Agent systems

Tian

Zhu

2023

Optim Control Appl Methods

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This paper studies the resource allocation problems with second‐order multi‐agent systems under the constraint of the global network resource. A novel distributed continuous‐time algorithm, which only uses the local information, is proposed. By using matrix transform and differential inequality technique, the exponential convergence is obtained under the undirected and connected graph. To reduce energy consumption and communication costs, a distributed event‐triggered algorithm is designed. It is proved that not only this algorithm converges exponentially to the optimal allocation, but also the event‐triggered time sequence does not exhibit Zeno‐behavior. Finally, numerical examples illustrate the effectiveness of theoretical results.

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Optimal output consensus of second‐order uncertain nonlinear systems on weight‐unbalanced directed networks

Zhang

Liu

2022

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

This article investigates the distributed optimal output consensus problem of second-order uncertain nonlinear multiagent systems over weight-unbalanced directed networks. Under the standard assumption that local cost functions are strongly convex with globally Lipschitz gradients, a novel distributed dynamic state feedback controller is developed such that the outputs of all the agents reach the optimal solution to minimize the global cost function which is the sum of all the local cost functions. The controller design is based on a two-layer strategy, where a distributed optimal coordinator and a reference-tracking controller are proposed to address the challenges arising from unbalanced directed networks and uncertain nonlinear functions respectively. A key feature of the proposed controller is that the nonlinear functions containing the uncertainties and disturbances are not required to be globally Lipschitz. Furthermore, by exploiting adaptive control technique, no prior knowledge of the uncertainties or disturbances is required either. Two simulation examples are finally provided to illustrate the effectiveness of the proposed control scheme.

show abstract

Distributed resource allocation of second‐order nonlinear multiagent systems

Cited by 16 publications

References 38 publications

Optimal Output Consensus of Second-Order Uncertain Nonlinear Systems on Weight-Unbalanced Directed Networks

Optimal Output Consensus of Second-Order Uncertain Nonlinear Systems on Weight-Unbalanced Directed Networks

Distributed optimal resource allocation with second‐order multi‐Agent systems

Optimal output consensus of second‐order uncertain nonlinear systems on weight‐unbalanced directed networks

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