Disturbance observer-based elegant anti-disturbance saturation control for a class of stochastic systems

ABSTRACT

In this paper, the elegant anti-disturbance saturation control problem is discussed for a class of stochastic systems with multiple heterogeneous disturbances, which include three kinds of disturbance. One is the disturbance with partially known information. The other one is satisfying $H_2$-norm bounded. And the third one is white noise. A stochastic disturbance observer (SDO) is constructed to estimate the disturbance with partially known information. Based on the SDO and the characteristics of other two kinds of disturbance, a disturbance observer-based elegant anti-disturbance saturation control (DOBEADSC) scheme is proposed by combining disturbance observer based saturation control (DOBSC) and $H_{\mathrm{\infty }}$ control. With the proposed DOBEADSC scheme, the desired system robustness performance and higher anti-disturbance control accuracy can be achieved. Finally, two simulation examples, including a wind turbine system, are given to demonstrate the feasibility and effectiveness of the proposed scheme.

KEYWORDS:

• Stochastic system
• multiple heterogeneous disturbances
• disturbance observer-based control
• $H_{\mathrm{\infty }}$ control
• elegant anti-disturbance saturation control

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

The work is supported by National Natural Science Foundation of China 61374108.