Distributed Observer Design For Multi-agent Systems With Semi-Markov Switching Topology And Incremental Quadratic Constraints

Abstract

In this article, the issue of the distributed observer design for nonlinear multi-agent systems with semi-Markov jump topologies is discussed. At first, based on adjacency matrices, a new distributed observer framework for nonlinear multi-agent systems is proposed. Unlike other existing papers, the nonlinear iteam of this paper satisfies the incremental quadratic constraint. Then the error between distributed observer and multi-agent system is proved to be stochastic stable by Lyapunov and Dynkin's formula. In addition, the existence condition of the distributed observer is written in the form of linear matrix inequalities, which can be easily solved by the LMI toolbox in MATLAB. Finally, the main results are verified by an example.