Adaptive Output Consensus of Heterogeneous Nonlinear Multi-agent Systems: A Distributed Dynamic Compensator Approach

Abstract: Distributed dynamic compensators, also known as distributed observer, play a key role in the output consensus problem of heterogeneous nonlinear multi-agent systems. However, most existing distributed dynamic compensators require either the compensators' information to be exchanged through communication networks, or that the controller for each subsystem satisfies a class of small gain conditions. In this note, we develop a novel distributed dynamic compensator to address the adaptive output consensus problem of heterogeneous nonlinear multi-agent systems with unknown parameters. The distributed dynamic compensator only requires the output information to be exchanged through communication networks. Thus, it reduces the communication burden and facilitates the implementation of the dynamic compensator. In addition, the distributed dynamic compensator converts the original adaptive output consensus problem into the global asymptotic tracking problem for a class of nonlinear systems with unknown parameters. Then, by using the adaptive backstepping approach, we develop an adaptive tracking controller for each subsystem, which does not requre the small gain conditions as in previous studies. It is further proved that all signals in the closed-loop system are globally uniformly bounded, and the proposed scheme enables the outputs of all the subsystems to track the output of leader asymptotically. A simulation is presented to illustrate the effectiveness of the design methodology.