Distributed observer-based control law with better dynamic performance based on distributed high-gain observer

The design of distributed observers is a hot topic in the research of multi-agent system. It can estimate the whole states of the plant with only portion of output information and the information communicated in the network. This paper introduces the high-gain matrix into the classical distributed observers to improve its convergence speed. In this scene, the performance of distributed observers-based control law can be improved. Since high-gain matrix change the structure of classical distributed observers, a group of sufficient conditions for the stability of the distributed high-gain observers are proved. Moreover, we prove the distributed high-gain observers-based control law satisfies certainty equivalency principle and the designed observer has performance recovery capability. A numerical simulation demonstrates the correction and superior property of our method.