Adaptive control for uncertain stochastic nonlinear time-delay systems via output feedback

This paper discusses the problem of global adaptive output feedback control for a class of uncertain stochastic nonlinear systems with time-delays, which is dominated by a lower-triangular system with unknown linear growth rates. By employing the idea of universal control and the design of a linear high-gain observer, we propose a universal-type output feedback controller. Based on stochastic Barbalat´s lemma, all the states of the clclosed-loop systemosed-loop system can be regulated to the origin almost surely. Finally, a simulation example is presented to illustrate the effectiveness of the proposed design procedure.