Title
Observer design of descriptor nonlinear system with nonlinear outputs by using W1,2-optimality criterion
Abstract
This paper deals with nonlinear observer design for a class of nonlinear systems with nonlinear output measurements. The proposed methodology is based on the use of Linear Matrix Inequalities (LMIs) to handle a problem of W1,2-convergence criterion. Some new assumptions and convenient Young’s formulation are used to get less conservative LMI conditions compared to the literature. Indeed, the obtained LMIs contain additional decision variables, which render the conditions more general. Furthermore, due to the presence of nonlinearities in both the process dynamics and the output measurements, the class of systems studied in this paper is more general than those available in the literature in the same LMI context. Two numerical examples are presented to show the effectiveness and superiority of the new design procedure compared to the H∞ method.
Year
DOI
Venue
2019
10.1016/j.jfranklin.2019.02.017
Journal of the Franklin Institute
Field
DocType
Volume
Convergence (routing),Decision variables,Nonlinear system,Optimality criterion,Control theory,Matrix (mathematics),Nonlinear observer,Process dynamics,Observer (quantum physics),Mathematics
Journal
356
Issue
ISSN
Citations 
6
0016-0032
0
PageRank 
References 
Authors
0.34
25
5
Name
Order
Citations
PageRank
Abdelghani Hamaz100.34
Khadidja Chaib Draa200.34
Fazia Bedouhene3195.22
Ali Zemouche423527.91
Rajesh Rajamani545888.34