LMI-based adaptive tracking control for a class of nonlinear stochastic systems

Abstract

In this paper, we investigate the adaptive output tracking control for fuzzy stochastic parametric strict-feedback systems. To deal with the output tracking problem, we convert it into a stabilization one via the concept of virtual desired variables. Then all the analysis and synthesis are carried out using LMI (linear matrix inequality) technique. Here we emphasize that, due to the specific feature of the strict-feedback systems, the virtual desired variables can be well-defined such that our stochastic adaptive tracking control can be well developed. From the numerical simulations, it is found that the proposed schemes are feasible and the performance is satisfactory.