<i>H</i><sub>∞</sub>consensus control of multi-agent systems with switching topology: a dynamic output feedback protocol

Yang, Liu; Jia, Yingmin

doi:10.1080/00207170903267039

Cited by 138 publications

(100 citation statements)

References 14 publications

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“…Recently, some researchers have solved the consensus problem of multi-agent systems with various external disturbances and random communication noises [11][12][13][14][15][16][17][18], on the basis of prior results for the determined systems [5][6][7][8][9][10]. For example, Li et al considered the disturbance rejection problem arising in the coordination control of multi-agent systems with external disturbances in [13], and proved that this problem could be solved by analyzing the H ∞ problem of a set of independent subsystems.…”

Section: Introductionmentioning

confidence: 99%

Robust H ∞ consensus control of uncertain multi-agent systems with time delays

Liu

Jia

2011

Int. J. Control Autom. Syst.

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This paper is devoted to the robust H ∞ consensus control of multi-agent systems with model parameter uncertainties and external disturbances. In particular, switching networks of multiple agents with general linear dynamics are considered, and uncertain communication delays are also taken into account. It shows that a sufficient condition in terms of linear matrix inequalities (LMIs) is derived for the robust consensus performance with a given H ∞ disturbance attenuation level, and meanwhile the unknown feedback matrix of the proposed distributed state feedback protocol is also determined. A numerical example is included to validate the theoretical results.

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Section: Introductionmentioning

confidence: 99%

Robust H ∞ consensus control of uncertain multi-agent systems with time delays

Liu

Jia

2011

Int. J. Control Autom. Syst.

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“…A controlled output function ( ) = ( ) − ∑ =1 ( )/ is defined in [37], which is used to measure the disagreement of ( ) to the average state of all agents, = 1, . .…”

Section: ( )]mentioning

confidence: 99%

Consensus Congestion Control in Multirouter Networks Based on Multiagent System

Yang

2017

Complexity

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Due to the unbalance distribution of network resources and network traffic, congestion is an inherent property of the Internet. The consensus congestion controller based on the multiagent system theory is designed for the multirouter topology, which improves the performance of the whole networks. Based on the analysis of the causes of congestion, the topology of multirouter networks is modeled based on the graph theory and the network congestion control problem is described as a consensus problem in multiagent systems. Simulation results by MATLAB and Ns2 indicate that the proposed algorithm maintains a high throughput and a low packet drip ratio and improves the quality of the service in the complex network environment.

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“…In the same setting, (Y. Liu & Jia, 2010) proposed the synthesis of a distributed output feedback controller. However, this result is obtained constraining the Lyapunov matrix to have a block diagonal structure.…”

Section: Introductionmentioning

confidence: 99%

“…With respect to the related work (Y. Liu & Jia, 2010), the proposed design leads to a less conservative solution, because we constrain the structure of some slack variable introduced in the completion-of-squares, instead of the Lyapunov function matrix.…”

Section: Introductionmentioning

confidence: 99%

H∞ control design for synchronisation of identical linear multi-agent systems

Col

Tarbouriech

Zaccarian

2017

International Journal of Control

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In this paper we study the state synchronization problem of multi-agent systems subject to external additive perturbations. We consider high-order linear time-invariant multi-agent systems whose communication topology is encoded by an undirected and connected graph. We propose an H∞ control design technique based on a decentralized output feedback controller. We give sufficient conditions to ensure state synchronization with bounded L2 gain using a Lyapunov-based approach. These conditions are characterized in terms of matrix inequalities. Since these matrix inequality conditions are nonconvex and can not be solved straightforwardly, we propose a relaxation technique and an effective numerical procedure to design a suitable controller with guaranteed performance on the multi-agent distributed closed loop.

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H_∞consensus control of multi-agent systems with switching topology: a dynamic output feedback protocol

Cited by 138 publications

References 14 publications

Robust H ∞ consensus control of uncertain multi-agent systems with time delays

Robust H ∞ consensus control of uncertain multi-agent systems with time delays

Consensus Congestion Control in Multirouter Networks Based on Multiagent System

H∞ control design for synchronisation of identical linear multi-agent systems

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H∞consensus control of multi-agent systems with switching topology: a dynamic output feedback protocol

Cited by 138 publications

References 14 publications

Robust H ∞ consensus control of uncertain multi-agent systems with time delays

Robust H ∞ consensus control of uncertain multi-agent systems with time delays

Consensus Congestion Control in Multirouter Networks Based on Multiagent System

H∞ control design for synchronisation of identical linear multi-agent systems

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Product

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H_∞consensus control of multi-agent systems with switching topology: a dynamic output feedback protocol