Leader-following consensus for a class of high-order nonlinear multi-agent systems

Chen, Hua; You, Xiu; Guan, Xinping

doi:10.1016/j.automatica.2016.06.025

Cited by 130 publications

(58 citation statements)

References 15 publications

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“…3 Consensus, which is a fundamental problem of multiagent systems, has attracted a lot of attention in recent years. [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] Different from the existing results on consensus, this paper focuses on the leader-following consensus problem of uncertain nonlinear multiagent systems with partly unknown Markovian switching signal, which is also called cooperative tracking problem. Our study is inspired by the following observations.…”

Section: Introductionmentioning

confidence: 99%

“…For example, the consensus of nonlinear multiagent system with global Lipschitz constraint was considered by Hu et al 25 With the same assumption on nonlinear part, Wen et al 26 extended the result to switching topology case. Furthermore, other authors 21,22,27 investigated the consensus of heterogeneous nonlinear multiagent system. As for the multiagent systems with unknown nonlinear dynamics, the adaptive distributed controller was proposed by other authors.…”

Section: Introductionmentioning

confidence: 99%

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Adaptive cooperative tracking control of uncertain nonlinear multiagent systems with uncertain Markov switching communication graphs

Xing

Deng

2019

Adaptive Control & Signal

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This paper deals with the cooperative tracking problem of nonlinear multiagent systems. Compared with the existing works, both the uncertainties in model and switching topology are considered. Two control laws, the adaptive distributed controller based on state information and the adaptive distributed controller based on output information, are proposed using the neural networks.The advantage of the proposed controller is that we no longer require the exact knowledge of follower agents' parameters and the precise switching signal of communication topology by taking advantages of neural networks approximation and the property of transition probabilities. It is proved that all followers can track the leader with permitted bounded errors under the proposed controller.An illustration is given to testify the efficacy of the proposed approach. KEYWORDS adaptive cooperative control, Markov switching, nonlinear multiagent systems, uncertain parameter Abbreviations: TPs, transition probabilities 1506

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Adaptive cooperative tracking control of uncertain nonlinear multiagent systems with uncertain Markov switching communication graphs

Xing

Deng

2019

Adaptive Control & Signal

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“…The linearization approach is hard to work when the Lipschitz condition does not take place. The consensus problem of multi-agent nonlinear systems is considered in many papers e.g., Hua et al (2016), Li et al (2013), Liu et al (2013), Liu and Huang (2017), Munz et al (2011), and Wang et al (2017), where various types of consensus including the leader-following consensus, finite-time consensus, adaptive consensus etc. are discussed under different settings.…”

Section: Introductionmentioning

confidence: 99%

Output Consensus of Networked Hammerstein and Wiener Systems

Feng¹,

Chen²

2019

SIAM J. Control Optim.

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In this paper we consider the output consensus problem of networked Hammerstein and Wiener systems in a noisy environment. The Hammerstein or Wiener system is assumed to be open-loop stable, and its static nonlinearity is allowed to grow up but not faster than a polynomial. A control algorithm based on the distributed stochastic approximation algorithm with expanding truncations is designed and it is shown that under the designed control the output consensus is achieved. The numerical simulation given in the paper justifies the theoretical assertions.

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“…As the objective of consensus, some distributed controllers are designed for each agent based on the relative local information such that all the agents asymptotically reach an agreement on a common value. For multiagent systems, many profound theoretical results on consensus have been obtained, including leaderless consensus and leader‐following consensus . For delayed multiagent systems, there also have been lots of fundamental results on consensus .…”

Section: Introductionmentioning

confidence: 99%

“…For multiagent systems, many profound theoretical results on consensus have been obtained, including leaderless consensus [6][7][8][9] and leader-following consensus. [10][11][12][13] For delayed multiagent systems, there also have been lots of fundamental results on consensus. [14][15][16] In practical applications, the autonomous agents may only communicate with their neighbors at some disconnected time intervals because of the limitation of sensing ranges, the effect of obstacles, and the failure of physical devices.…”

Section: Introductionmentioning

confidence: 99%

Distributed containment control for second‐order multiagent systems with time delay and intermittent communication

Wang

Liu

Chen

2018

Intl J Robust & Nonlinear

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Summary This paper studies the containment control problem for second‐order multiagent systems with intermittent communications and time‐varying delays. Under the common assumption that each follower can only communicate with its neighbors over some disconnected time intervals, some distributed controllers are designed such that all the followers can converge to convex hull formed by the leaders. Firstly, a distributed intermittent control protocol without considering time delays is proposed for second‐order containment control with intermittent communications. Then, under delayed and intermittent communication, a kind of distributed containment control algorithm is derived for second‐order multiagent systems with time‐varying delays. Based on the Lyapunov function technology and the intermittent control method, some sufficient conditions are presented to guarantee that the second‐order multiagent systems can achieve intermittent containment control under fixed topology. As an extension, similar results are obtained for containment control under switching topology. Finally, numerical simulations are presented to demonstrate the theoretical analysis.

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Leader-following consensus for a class of high-order nonlinear multi-agent systems

Cited by 130 publications

References 15 publications

Adaptive cooperative tracking control of uncertain nonlinear multiagent systems with uncertain Markov switching communication graphs

Adaptive cooperative tracking control of uncertain nonlinear multiagent systems with uncertain Markov switching communication graphs

Output Consensus of Networked Hammerstein and Wiener Systems

Distributed containment control for second‐order multiagent systems with time delay and intermittent communication

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