Title
Circle criterion-based ℋ∞ observer design for Lipschitz and monotonic nonlinear systems – Enhanced LMI conditions and constructive discussions
Abstract
A new LMI design technique is developed to address the problem of circle criterion-based ℋ∞ observer design for nonlinear systems. The developed technique applies to both locally Lipschitz as well as monotonic nonlinear systems, and allows for nonlinear functions in both the process dynamics and output equations. The LMI design condition obtained is less conservative than all previous results proposed in the literature for these classes of nonlinear systems. By judicious use of a modified Young’s relation, additional degrees of freedom are included in the observer design. These additional decision variables enable improvements in the feasibility of the obtained LMI. Several recent results in the literature are shown to be particular cases of the more general observer design methodology developed in this paper. Illustrative examples are given to show the effectiveness of the proposed methodology. The application of the method to slip angle estimation in automotive applications is discussed and experimental results are presented.
Year
DOI
Venue
2017
10.1016/j.automatica.2017.07.067
Automatica
Keywords
DocType
Volume
Observers design,Lipschitz systems,LMI approach, ℋ∞ synthesis,Slip angle estimation
Journal
85
Issue
ISSN
Citations 
1
0005-1098
7
PageRank 
References 
Authors
0.56
14
6
Name
Order
Citations
PageRank
Ali Zemouche123527.91
Rajesh Rajamani245888.34
Gridsada Phanomchoeng3193.39
Boulaid Boulkroune4386.55
Rafaralahy, H.591.64
Michel Zasadzinski68214.78