Fully distributed secure consensualization for leaderless nonlinear multiagent systems with communication link attacks

Abstract

AbstractThe secure consensualization for leaderless nonlinear multiagent systems with communication link attacks is realized in a fully distributed manner in a certain sense that the gain matrix design do not depend on the communication topology. A new virtual reference state estimator is proposed for each agent to estimate the common tracking state, which can adaptively adjust coupling strengths to counteract the influence of communication link attacks. Then, by the Lipschitz condition and the special structure property of the time‐varying nonsingular transformation matrix, the influence of the Lipschitz nonlinearity on secure consensus is linearized, and a design approach of the secure consensus control gain is given on the foundation of the linear matrix inequality. Finally, a numerical example is provided to demonstrate the effectiveness of theoretical results.