Linear output regulation of heterogeneous networked systems based on distributed adaptive dynamic state feedback

This paper investigates the linear output regulation problem of heterogeneous networked systems with an aim to make all nodes track the exosystem cooperatively. Firstly, by fully using the interactions between the nodes, a distributed adaptive control law based on full information feedback is designed. Then, considering that the exosystem-accessible nodes can be controlled by static state feedback conveniently, we present a distributed control law with only partial nodes controlled by adaptive dynamic state feedback. Different from some existing works, the feedback gains of the proposed control laws in this paper are independent of the Laplacian matrices of the system topologies, which is of global nature. It has been shown that the linear output regulation problem of heterogeneous networked systems can be solved with both proposed control laws. At last, two numerical examples are provided to demonstrate the effectiveness of the proposed distributed control laws.