Title: The Cooperative Output Regulation Problem of Discrete-Time Linear Multi-Agent Systems by the Adaptive Distributed Observer,
Abstract: In this paper, we first present an adaptive distributed observer for a
discrete-time leader system. This adaptive distributed observer will provide,
to each follower, not only the estimation of the leader's signal, but also the
estimation of the leader's system matrix. Then, based on the estimation of the
matrix S, we devise a discrete adaptive algorithm to calculate the solution to
the regulator equations associated with each follower, and obtain an estimated
feedforward control gain. Finally, we solve the cooperative output regulation
problem for discrete-time linear multi-agent systems by both state feedback and
output feedback adaptive distributed control laws utilizing the adaptive
distributed observer.