Finite-time adaptive fuzzy tracking control for stochastic nonlinear systems with time-delay via output-feedback

In this paper, the finite-time adaptive fuzzy tracking control issue for stochastic nonlinear systems with time-delay via output-feedback is studied. Firstly, a state observer and fuzzy logic systems with infinite approximation capability are utilized to estimate the unmeasured states and identify unknown nonlinear characteristics, respectively. Then, a finite-time adaptive fuzzy tracking controller is devised by the backstepping technology. It is shown that the presented control scheme can ensure the finite-time square stability of the stochastic nonlinear systems with time-delay, that is, the output tracking error converges to a sufficiently small neighborhood around the origin in finite-time, and all signals of the closed-loop system are bounded. Finally, the effectiveness of the presented control strategy is illustrated via two simulation examples.