Cooperative Adaptive H∞ Output Regulation of Continuous-Time Heterogeneous Multi-Agent Markov Jump Systems

This brief investigates the cooperative adaptive
$H_{\infty }$
output regulation problem for continuous-time heterogeneous multi-agent Markov jump systems. First, a distributed mode-dependent observer is designed to estimate the dynamics of the Markov jump linear exosystem over a communication digraph. Then, an adaptive mode-dependent control law is designed for each agent such that the mean-square
$H_{\infty }$
output synchronization of the whole network is achieved. Finally, simulation results are provided to verify the theoretical results and demonstrate the effective control performances.