Finite-time fuzzy output-feedback control for $ p $-norm stochastic nonlinear systems with output constraints

Abstract

This paper investigates the finite-time control problem of p-norm stochastic nonlinear systems subject to output constraint. Combining a tan-type barrier Lyapunov function (BLF) with the adding a power integrator technique, a fuzzy state-feedback controller is constructed. Then, an output-feedback controller design scheme is developed by the constructed state-feedback controller and a reduce-order observer. Finally, both the rigorous analysis and the simulation results demonstrate that the designed output-feedback controller not only guarantees that the output constraint is not violated, but also ensures that the system is semi-global finite-time stable in probability (SGFSP).

Keywords

• finite-time control
• stochastic nonlinear systems
• output constraint
• output-feedback controller
• barrier lyapunov function