H∞ consensus control of a class of high-order multi-agent systems

Mo, Lipo; Jia, Yingmin

doi:10.1049/iet-cta.2009.0365

Cited by 58 publications

(53 citation statements)

References 17 publications

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“…9 Meanwhile, using the method of robust control, the H ' consensus problem for multiagent systems with first-order, second-order, and high-order integrators was investigated in Jia and colleagues. [10][11][12] In applications, whether the information exchanges or not between agents is also stochastic, the Markovian switching model was used to deal with this situation. Zhang and Tian 13 proved that the switching systems can realize mean-square consensus when the union of graphs has a globally reachable node.…”

Section: Introductionmentioning

confidence: 99%

“…18,19 In this article, we focus on discussing this problem. Different with the methods on robust H ' consensus, [10][11][12] the observer technique was employed to estimate the external disturbances. A new control protocol was proposed to drive the multi-agent system with persistent disturbances to achieve mean-square consensus when the topology switches stochastically among some unconnected graphs, and the switch is driven by an ergodic Markovian chain.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Mean-square consensus of discrete-time multi-agent systems with Markovian switching topologies and persistent disturbances

Wang

Pan

et al. 2017

International Journal of Distributed Sensor Networks

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This article deals with the leader-following mean-square consensus problem of discrete-time general linear multi-agent systems with Markovian switching topologies and persistent disturbances. Assume that the communication topology is not connected at any time but the union topology is connected. First, the estimators are designed to calculate the states of agents when external disturbance not exists. Based on the error information between the truth-values and estimatedvalues of states, the compensators are proposed to subject to the effect of persistent disturbances. And then, a new mean-square consensus control protocol is proposed for each agent. Second, by using the property of permutation matrix, the original closed-loop system is transferred into an equivalent system. Third, sufficient conditions for meansquare consensus are obtained in the form of matrix inequalities. Finally, numerical simulations are given to illustrate the effectiveness of the theoretical results.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Mean-square consensus of discrete-time multi-agent systems with Markovian switching topologies and persistent disturbances

Wang

Pan

et al. 2017

International Journal of Distributed Sensor Networks

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“…It is shown that in finite time the agents reach consensus when there is no disturbances, and converge to a consensus region in the presence of disturbances. The robust consensus control design for the case of double-integrator agents as well as a class of higher-order agents is studied in [25,26].…”

Section: Introductionmentioning

confidence: 99%

Distributed consensus control of unicycle agents in the presence of external disturbances

Ajorlou

Asadi

Aghdam

et al. 2015

Systems & Control Letters

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a b s t r a c tIn this paper, a distributed consensus control strategy is presented for a team of unicycle agents subject to external disturbances. Bounded disturbances with unknown dynamics on both translational and angular velocities are applied to the system. The key idea is to design the control inputs of each agent in such a way that, after a finite time, agents move with an acute angle with respect to a reference vector typically used for the consensus control of disturbance-free single-integrator agents. Convergence to consensus is then proved using Lyapunov theory. Simulation results confirm the efficacy of the proposed controller.

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“…15 In this paper, we extend the consensus result of homogeneous multi-agent systems to heterogeneous multi-agent sys- 16 tems, which is composed of first-order and second-order integrator agents. Different from the literatures on the consensus 17 problem of homogeneous multi-agent systems, we assume that the topologies is jointly connected herein. A new method 18 is given to deal with the consensus problem of heterogeneous multi-agent systems.…”

Section: Introductionmentioning

confidence: 99%

Consensus of heterogeneous multi-agent systems with switching jointly-connected interconnection

Niu

Pan

2015

Physica A: Statistical Mechanics and its Applications

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H∞ consensus control of a class of high-order multi-agent systems

Cited by 58 publications

References 17 publications

Mean-square consensus of discrete-time multi-agent systems with Markovian switching topologies and persistent disturbances

Mean-square consensus of discrete-time multi-agent systems with Markovian switching topologies and persistent disturbances

Distributed consensus control of unicycle agents in the presence of external disturbances

Consensus of heterogeneous multi-agent systems with switching jointly-connected interconnection

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