Adaptive output feedback controller design for high-order stochastic nonlinear systems with uncertain output function and unknown growth rates

Abstract

This paper concentrates on the adaptive output feedback controller design for a class of high-order stochastic nonlinear systems(SNSs) with uncertain output function. Firstly, a homogeneous output feedback controller for the nominal system is designed through the technique of adding a power integrator. Secondly, a well-designed dynamic gain is introduced into the controller to ensure the original SNSs globally asymptotically stable(GAS) in probability. Besides, the proposed control strategy can be also extended to upper-triangular SNSs. Finally, two numerical examples illustrate the effectiveness of the proposed method.