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

Fang Gao, Min Wu, Jinhua She and Weihua Cao

Applied Mathematics and Computation, 2016, vol. 282, issue C, 244-253

Abstract: 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.

Keywords: Equivalent input disturbance (EID); Linear matrix inequality (LMI); Nonlinear system; State observer; Uniformly ultimately bounded (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:282:y:2016:i:c:p:244-253

DOI: 10.1016/j.amc.2016.02.014

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