Automatica, Vol.43, No.4, 608-620, 2007
Adaptive backstepping controller design using stochastic small-gain theorem
A more general class of stochastic nonlinear systems with unmodeled dynamics and uncertain nonlinear functions are considered in this paper. With the concept of input-to-state practical stability (ISpS) and nonlinear small-gain theorem being extended to stochastic case, by combining stochastic small-gain theorem with backstepping design technique, an adaptive output-feedback controller is proposed. It is shown that the closed-loop system is practically stable in probability. A simulation example demonstrates the control scheme. (C) 2007 Published by Elsevier Ltd.