Elegant anti-disturbance control for uncertain discrete-time stochastic systems

This paper proposes a new elegant anti-disturbance control strategy for a class of discrete-time stochastic systems subject to two kinds of disturbances. One represents the disturbance with partially-known information. The other is external random environmental disturbances. The stochastic disturbance observers can be constructed separately from the controller design to estimate the first kind of disturbance. Based on stochastic disturbance observer, a novel elegant anti-disturbance control scheme is proposed to improve the ability of anti-disturbance for discrete-time stochastic systems with known and unknown nonlinear dynamics, respectively. A simulation example is given to demonstrate the effectiveness of the proposed method compared with the previous schemes.