Disturbance rejection in nonlinear systems based on equivalent-input-disturbance approach

作者：Gao, Fang; Wu, Min^*; She, Jinhua; Cao, Weihua

来源：Applied Mathematics and Computation, 2016, 282: 244-253.

DOI：10.1016/j.amc.2016.02.014

• Equivalent input disturbance (EID)
• Linear matrix inequality (LMI)
• Nonlinear system
• State observer
• Uniformly ultimately bounded

This paper presents a new system configuration and a design method that improves disturbance rejection performance for a nonlinear system. The equivalent-input-disturbance ( EID) approach is used to construct an EID estimator that estimates the influence of exogenous disturbances and nonlinearities on the output of the system. Sufficient stability conditions for state-and output-feedback control are derived in terms of linear matrix inequalities. New EID-based control laws that combines an EID estimate with a state-or an output-feedback control laws ensure good control performance. A numerical example illustrates the design method. A comparison between the EID-based control, the conventional disturbance observer, the disturbance-observer-based-control, and the sliding mode control methods demonstrates the validity and superiority of the EID-based control method.

• 出版日期2016-5-5
• 单位中南大学; 中国地质大学（北京）