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. INDEX TERMS Multi-agent systems, finite-time stability, synchronization tracking, adaptive backstepping, unknown output dead-zone.

Adaptive consensus for heterogeneous unknown nonlinear multi-agent systems with asymmetric input dead-zone: A finite-time approach

“…Adaptive finite-time consensus problem for a class of second-order MASs with a positive odd power, uncertain dynamics, and nonsymmetric input dead-zone is studied by Liu J et al (2019). In Yang et al (2019), the finite-time consensus problem with output dead-zone is investigated for unknown nonlinear MASs. Adaptive finite-time consensus for second-order uncertain nonlinear MASs with external disturbances and unknown nonsymmetric dead-zone is considered by Ren et al (2020).…”

“…In this article, the linear parametric property and Lipschitz condition for nonlinearities are not required, and the uncertainties are entirely unknown. In this article, the unknown nonlinear dynamics do not need to satisfy the assumptions used in Cai et al (2016), Li and Ji (2018), Liu et al (2019), and Yang et al (2019).…”

Adaptive Fast Finite-Time Consensus for Second-Order Uncertain Nonlinear Multi-Agent Systems With Unknown Dead-Zone

“…In [38], positive odd power and dead-zone input were considered for second-order MASs by adding a power integrator approach. In [39], the FTC stabilization problem is studied for unknown nonlinear MASs with output dead-zone.…”

Optimal Energy Consumption for Consensus of Multi-Agent Systems With Communication Faults

“…A consensus as the most important and fundamental coordinated behavioral regulation of cooperative control has been widely studied, because of its wide applications in physics, biology, control engineering, social sciences, and so on [1]- [4]. There is a large volume of literature on the consensus.…”