Finite-Time Adaptive Fuzzy Consensus Stabilization for Unknown Nonlinear Leaderless Multi-Agent Systems With Unknown Output Dead-Zone

Abstract

In this paper, the finite-time adaptive consensus stabilization is investigated for unknown nonlinear leaderless multi-agent systems with unknown output dead-zone. Different from the previous results on the multi-agent systems with unknown dead-zone, the dead-zone nonlinear is researched in the output channel. By using the recursive backstepping design method and the universal approximation ability of fuzzy logic systems, a local controller for each follower is constructed. Meanwhile, a Lyapunov-based logic switching rule is applied to handle the unknown control gain problems aroused by the output dead-zone nonlinearities. It is, thus, shown that the established adaptive control protocol can assure the finite-time state synchronization of each node. Besides, the state synchronization error between any adjacent followers also converges to a small region of zero when time tends to $T_{0}$ . Finally, the two simulations are conducted to further verify our theoretical results.

Keywords

• Multi-agent systems
• finite-time stability
• synchronization tracking
• adaptive backstepping
• unknown output dead-zone