Adaptive disturbance observer‐based control for stochastic systems with multiple heterogeneous disturbances. (24th July 2019)

• Record Type: Journal Article
• Authors: Wei, Xinjiang; Dong, Lewei; Zhang, Huifeng; Hu, Xin; Han, Jian
• Other Names: Edwards Christopher guestEditor.; Simani Silvio guestEditor.
• Is Part Of: International journal of robust and nonlinear control. Volume 29:Number 16(2019)
• Page Start: 5533
• Page End: 5549
• Publication Date: 2019-07-24
• Subjects: adaptive disturbance observer -- disturbance observer based control -- multiple heterogeneous disturbances -- stochastic systems; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.4683
• Languages: English
• ISSNs: 1049-8923

Abstract

Summary: Antidisturbance control problem is discussed for stochastic systems with multiple heterogeneous disturbances, which include the white noise and the disturbance with unknown frequencies and amplitudes. An adaptive disturbance observer is designed to estimate the disturbance with unknown frequencies and amplitudes, based on which, an adaptive disturbance observer‐based control scheme is proposed by combining adaptive technique and linear matrix inequality method. It is proved that the closed‐loop system is asymptotically bounded in mean square when multiple heterogeneous disturbances exist simultaneously and that the equilibrium is globally asymptotically stable in probability as additive disturbance disappears. Finally, two simulation examples, including a wind turbine system, are given to show the effectiveness of the proposed scheme.