Adaptive tracking control for stochastic nonlinear systems with unknown virtual control coefficients

This paper proposes an adaptive tracking controller for stochastic nonlinear systems with unknown virtual control coefficients (UVCCs). Without using the Nussbaum gain technique (NGT), the controller is designed by employing an inequality, which requires much less complex computations. Novel adaptive controllers are constructed to compensate parameter uncertainties and UVCCs. To validate the effectiveness and superiority of the presented control method, a numerical simulation example and a practical example are given in the end of the paper.