Fixed-time adaptive fuzzy control for uncertain strict feedback switched systems

This paper considers the problem of fuzzy logic adaptive fixed-time control for nonlinear switched system. Different from existing research results on fixed-time control, the system functions are completely uncertain in this paper. The approximation error will cause Lyapunov function not to be negative definite. To address this problem, a new criterion of fixed-time stability is developed at first. Based on this fixed-time theory, a fuzzy logic control method is proposed by using backstepping technique. The proposed adaptive laws in this paper do not satisfy a series of linear differential equations but nonlinear ones. Simulation results verify the feasibility of presented algorithms.