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Finite-horizon H¡Ä Consensus Control for Discrete-time Stochastic Multiagent Systems with (x, u, v)-dependent Noise and Markov Jumps

Jie Wang and Xin Chen*
International Journal of Control, Automation, and Systems, vol. 20, no. 6, pp.1935-1942, 2022

Abstract : This paper focuses on discrete-time stochastic multi-agent systems, in which the stochastic noise can influence not only the states and the external disturbances but also the control inputs. Based on this model, the finitehorizon H¡Ä consensus control problem is analyzed to alleviate the effects of the disturbances and reach consensus simultaneously. By completing squares method, sufficient conditions for H¡Ä control protocols are established via a series of coupled Riccati difference equations. Finally, an algorithm is supplied and a numerical example is given to show the validity of our results.

Keyword : H¡Ä consensus control, Markov jumps, multi-agent systems, (x,u, v)-dependent noise.

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