In this paper, the mean square consensus control problem is investigated for linear uncertain discrete-time multi-agent systems withx-dependent noise and time-varying delays. Under undirected connected topology, the r...In this paper, the mean square consensus control problem is investigated for linear uncertain discrete-time multi-agent systems withx-dependent noise and time-varying delays. Under undirected connected topology, the robust consensus problem of multi-agent systems is converted into the robust stabilisation problem for thediscrete-time stochastic systems. By utilising Lyapunov functionaland the linear matrix inequality method, some new sufficient conditions are derived to guarantee the consensus of uncertain discretetime stochastic multi-agent systems. Based on the state feedbackcontroller protocol with time-varying delays, a new consensus criterion is established for the discrete-time stochastic multi-agent systems with parameter uncertainties. Finally, numerical examples areprovided to illustrate the effectiveness of the proposed results.展开更多
This paper addresses the leader-following consensus problem of linear multi-agent systems(MASs) with communication noise. Each agent's dynamical behavior is described by a linear multi-input and multi-output(MIMO)...This paper addresses the leader-following consensus problem of linear multi-agent systems(MASs) with communication noise. Each agent's dynamical behavior is described by a linear multi-input and multi-output(MIMO) system, and the agent's full state is assumed to be unavailable. To deal with this challenge, a state observer is constructed to estimate the agent's full state. A dynamic output-feedback based protocol that is based on the estimated state is proposed. To mitigate the effect of communication noise, noise-attenuation gains are also introduced into the proposed protocol. In this study, each agent is allowed to have its own noise-attenuation gain. It is shown that the proposed protocol can solve the mean square leader-following consensus problem of a linear MIMO MAS. Moreover, if all noise-attenuation gains are of Q(t-β), where b∈(0,1), the convergence rate of the MAS can be quantitatively analyzed. It turns out that all followers' states converge to the leader's state in the mean square sense at a rate of O(t-β).展开更多
基金This research is supported by the National Natural Science Foundation of China(Grant No.61573200,61573199).
文摘In this paper, the mean square consensus control problem is investigated for linear uncertain discrete-time multi-agent systems withx-dependent noise and time-varying delays. Under undirected connected topology, the robust consensus problem of multi-agent systems is converted into the robust stabilisation problem for thediscrete-time stochastic systems. By utilising Lyapunov functionaland the linear matrix inequality method, some new sufficient conditions are derived to guarantee the consensus of uncertain discretetime stochastic multi-agent systems. Based on the state feedbackcontroller protocol with time-varying delays, a new consensus criterion is established for the discrete-time stochastic multi-agent systems with parameter uncertainties. Finally, numerical examples areprovided to illustrate the effectiveness of the proposed results.
基金supported by the National Natural Science Foundation of China(Grant Nos.6142231061370032+2 种基金61225017&61421004)Beijing Nova Program(Grant No.Z121101002512066)Guangdong Provincial Natural Science Foundation(Grant No.2014A030313266)
文摘This paper addresses the leader-following consensus problem of linear multi-agent systems(MASs) with communication noise. Each agent's dynamical behavior is described by a linear multi-input and multi-output(MIMO) system, and the agent's full state is assumed to be unavailable. To deal with this challenge, a state observer is constructed to estimate the agent's full state. A dynamic output-feedback based protocol that is based on the estimated state is proposed. To mitigate the effect of communication noise, noise-attenuation gains are also introduced into the proposed protocol. In this study, each agent is allowed to have its own noise-attenuation gain. It is shown that the proposed protocol can solve the mean square leader-following consensus problem of a linear MIMO MAS. Moreover, if all noise-attenuation gains are of Q(t-β), where b∈(0,1), the convergence rate of the MAS can be quantitatively analyzed. It turns out that all followers' states converge to the leader's state in the mean square sense at a rate of O(t-β).
