Consensus control of nonlinear multi‐agent systems with semi‐Markov switching topology and incremental quadratic constraints

Abstract

The consensus problem of nonlinear multi‐agent systems with incremental quadratic constraints and semi‐Markov switching topology is discussed in this article. In order to simulate the delay of the communication network in the actual system, the nonlinear function, which contains the delay term is considered in this article. The control protocol is designed based on the dynamics of the adjacent agent states and the desired agent states. Through the use of the characteristics of the Kronecker product, the distributed system is converted to a centralized system. It is worth mentioning that for saving computational resources, the slack variable method is used to deal with the time‐varying transition rate, and the sufficient condition is expressed by the standard linear matrix inequality. Finally, the effectiveness of the control protocol is demonstrated by numerical simulations.