期刊
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
卷 47, 期 7, 页码 1050-1060出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSMC.2016.2531657
关键词
Discrete time-varying stochastic systems; finite horizon; H-infinity consensus control; mean-square consensus control; time-varying multiagent systems (MASs)
资金
- Royal Society of the U.K.
- National Natural Science Foundation of China [61304010, 61329301]
- Natural Science Foundation of Jiangsu Province [BK20130766]
- Post-Doctoral Science Foundation of China [2014M551598]
- International Post-Doctoral Exchange Fellowship from the China Post-Doctoral Council
- Alexander von Humboldt Foundation of Germany
This paper deals with the consensus control problem for a class of nonlinear discrete time-varying stochastic multiagent systems (MASs) over a finite horizon via static output feedback. The measurement output available for the controller is not only from the individual agent itself but also from its neighboring ones according to the given topology. The nonlinearities described by statistical means can encompass several classes of well-studied nonlinearities in the literature. A new index of mean-square consensus performance, which quantifies the deviation level from the state of individual agent to the average value of all agents' states, is proposed to reflect the transient consensus behavior of the MAS. The purpose of the addressed problem is to design a time-varying output feedback controller such that: 1) the H-infinity consensus performance defined over a given finite horizon is guaranteed with respect to the additive noises and 2) at each time step, the mean-square consensus performance satisfies the prespecified upper bound constraint. By using a set of recursive matrix inequalities, sufficient conditions are derived for the existence of the desired control scheme for achieving both H-infinity and mean-square consensus performance requirements. Finally, a simulation example is utilized to illustrate the usefulness of the proposed control protocol.
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