Adaptive Fuzzy Fast Finite-Time Output-Feedback Tracking Control for Switched Nonlinear Systems With Full-State Constraints

This research studies the adaptive fast finite-time tracking control problem for switched nonlinear systems with full-state constraints. In this design procedure, the barrier Lyapunov function is used to solve the difficulty from state constraints. The uncertain nonlinear functions in the original system are identified by applying the approximation of fuzzy logic systems. A linear common state observer is designed to estimate the unknown states. Based on adaptive backstepping technique and barrier Lyapunov functions, a fast finite-time adaptive tracking control scheme is proposed via the common Lyapunov function method. The designed controller enables that all the signals in the resulting system remain bounded and all the states do not suffer from violation in fast finite time. At last, a simulation example proves the effectiveness of the proposed control strategy.