Open AccessGeneralised dynamic observer design for Lipschitz non‐linear descriptor systems
Author(s) -
OsorioGordillo GloriaL.,
Darouach Mohamed,
AstorgaZaragoza CarlosM.,
BoutatBaddas Latifa
Publication year - 2019
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2018.5613
Subject(s) - control theory (sociology) , lipschitz continuity , observer (physics) , mathematics , robustness (evolution) , alpha beta filter , state observer , impulse (physics) , linear matrix inequality , computer science , mathematical optimization , nonlinear system , mathematical analysis , artificial intelligence , kalman filter , control (management) , physics , quantum mechanics , biochemistry , chemistry , statistics , extended kalman filter , gene , moving horizon estimation
This study concerns the observer design for Lipschitz non‐linear descriptor systems. It introduces a new observer structure called a generalised dynamic observer, which is more general than the proportional and proportional–integral observers. The originality of the proposed observer is that it provides additional degrees of freedom in the observer design, which can be used to increase steady‐state accuracy and to improve robustness in estimation against modelling errors. Conditions for the existence and stability of this observer are given in terms of linear matrix inequalities. Reduced‐order and full‐order observers can be designed directly by using the proposed unified approach. The effectiveness of the developed method is illustrated by two numerical examples where impulse and impulse‐free cases are considered, a comparison between the generalised dynamic observer, the proportional observer, and the proportional–integral observer is given to show the observers performances.