Rejection of mismatched disturbances for systems with input delay via a predictive extended state observer

Abstract

Summary The problem of output stabilization and disturbance rejection for input‐delayed systems is tackled in this work. First, a suitable transformation is introduced to translate mismatched disturbances into an equivalent input disturbance. Then, an extended state observer is combined with a predictive observer structure to obtain a future estimation of both the state and the disturbance. A disturbance model is assumed to be known but attenuation of unmodeled components is also considered. The stabilization is proved via Lyapunov‐Krasovskii functionals, leading to sufficient conditions in terms of linear matrix inequalities for the closed‐loop analysis and parameter tuning. The proposed strategy is illustrated through a numerical example.

Event‐triggered observer‐based robust H∞ control for networked control systems with unknown disturbance

“…Since the disturbances are ubiquitous and usually degrade control performances or even result in instability, a large number of antidisturbance control methods have been reported in order to improve the robustness . In References and , the adaptive control and output feedback one were, respectively, studied by using disturbance‐observer method.…”

“…In References , the composite disturbance‐observer‐based‐control (DOBC) was imposed on tackling the antidisturbance problem. By means of disturbance observers, the effects of mismatched disturbance were analyzed, and an enlarged class of disturbances was tackled . Especially to achieve noise suppression and disturbance attenuation, Reference utilized a modified DOBC structure to propose the robust controller.…”

“…In Reference , the codesign of predictor, event‐trigger, and gain‐scheduled ESO was presented to ensure the rejection of mismatched disturbance. Although the designs on disturbance observers were elegant in References , there still exist much room for the improvements: first, few works have utilized the AETSs to tackle the disturbance‐observer‐based‐control for the NCSs; second, when the disturbances are variable and partly unknown, the analysis and synthesis of observer design and controller one still need some further discussions, which constitute the focus of this work.…”

Robust predictive extended state observer for a class of nonlinear systems with time-varying input delay

“…This is known in the literature as the sequential predictors technique. Recently, this methodology has been exploited by some researchers (Ahmed-Ali, Cherrier, & Lamnabhi-Lagarrigue, 2012;Léchappé, Moulay, & Plestan, 2016;Mazenc & Malisoff, 2016;Sanz, Garcia, Fridman, & Albertos, 2018). However, in the context of sequential predictors, nonlinearities have not been addressed in any of the aforementioned works.…”

The Research of Improved Active Disturbance Rejection Control Algorithm for Particleboard Glue System Based on Neural Network State Observer

“…Although this observer can estimate the disturbance for the controller and reduce its influence on the control effect, it can no longer meet the requirements of scholars for the control accuracy with the progress of technology [20,21]. Artificial neural networks are mathematical models that mimic the structure and function of brain neural networks.…”