Adaptive tracking control for random nonlinear system

Abstract

Summary In this note, we consider a class of strict‐feedback random nonlinear system with unknown parameters,which is different from nonlinear systems described by Itó stochastic differential equations. The skills to deal with the effect of Wiener process for stochastic nonlinear systems are not suitable for random nonlinear system. We employ separation technique to design an adaptive backstepping controller such that the output can practically track a given signal and other signals are bounded in probability. A simulation example is presented to demonstrate reasonability and efficiency of the proposed method. Copyright © 2017 John Wiley & Sons, Ltd.