Observed-Based Adaptive Finite Time Control for SISO Nonlinear Systems with States Constraints

This study addresses the finite time control problem for uncertain single input and single output (SISO) nonlinear systems with full states constraints. First, by utilizing fuzzy logic systems (FLSs), a state observer is designed to estimate unmeasured states. Then, in order to make the system states not violate the asymmetric time-varying constraints, the nonlinear state dependent function (NSDF) is constructed, the constraints are guaranteed by proving that the function is bounded. Finally, simulation results are provided to demonstrate the effectiveness of the proposed control method.