Stochastic consensus control with finite frequency specification for Markov jump networks
Xiaoli Luan, Zhou Chaojie, Zhengtao Ding, Fei Liu · International Journal of Robust and Nonlinear Control · 2015
Summary A stochastic finite frequency consensus protocol for directed networks with Markov jump topologies and external disturbances is proposed in this paper. By introducing the frequency band information into consensus control design, the disagreement dynamics of interconnected networks asymptotically converge to zero with an improved level of disturbance attenuation in the specific frequency band. In addition, the new model transformation approach is presented by exploring certain features of Laplacian matrix in real Jordan form, which leads to more generality of the designed protocol. A numerical example validates the potential of the developed results. Copyright © 2015 John Wiley & Sons, Ltd.