Leader-following bipartite consensus of multiple uncertain Euler-Lagrange systems under deception attacks

Abstract

This article proposes the multiple Euler-Lagrange systems approach to achieve leader-following bipartite consensus is investigated when the systems are under the uncertain systems and the impact of deception attacks. An adaptive distributed observer containing filters is built for nonlinear systems where the matrix is not known specifically. There are two main purposes served by the adaptive distributed observer. the first is to estimate the state and pass the information to each follower through the system’s communication network when the system’s matrix is not known certainly, and the second is to eliminate deception attacks added to ELSs by the filters. Then, on the basis of this adaptive distributed observer functioning in the system, the problem for multiple ELSs of leader-following bipartite consensus will be solved by using the Lyapunov method and the deterministic equivalence principle. Finally, numerical simulations will be carried out to demonstrate the effectiveness of the proposed strategies.