Robust Observer Design for Uncertain Lipschitz Nonlinear Systems Based on Differential Mean Value Theorem: Application to Induction Motors

Journal of control, automation and electrical systems

article

Nacer, Mohamed Lamine¹  Kherfane, Hamid²  Moreau, Sandrine³  Saad, Salah⁴ 

[1] Faculty of Engineering, Department of Electronics, Laboratory of Automatic and Signals-Annaba (LASA), University Badji Mokhtar of Annaba;L2RCS Laboratory, Badji Mokhtar University;LIAS Laboratory, University of Poitiers;LSELM Laboratory, Badji Mokhtar University

关键词: Extended H∞;    Differential mean value theorem;    Linear matrix inequalities;    Induction motor;    External disturbance;    Parametric uncertainties;   

DOI  :  10.1007/s40313-020-00658-w

学科分类：自动化工程

来源: Springer

【 摘 要 】

In this paper, we present a robust observer design for Lipschitz nonlinear systems subject to parametric uncertainties and external disturbance, with its application to state estimation of an induction motor. First, the developed approach combined the differential mean value theorem with sector nonlinearity transformation to reformulate the nonlinearity term in the estimation error dynamics into a convex combination of vertex matrices as quasi-linear parameter varying system. Then by using an extension of H∞ criterion and pole placement technique, less conservative and sufficient stability conditions of the studied observer are derived and cast in terms of linear matrix inequalities (LMIs). Next, the observer gain is computed offline by solving these LMIs through the YALMIP software. Finally, the results of simulation were carried out with three scenarios to demonstrate the efficiency and effectiveness of our technique and to show its superiority in terms of robustness compared to others methods previously reported in some literature.

【 授权许可】

CC BY