Paper Info
Title
Extended Differential Balancing for Nonlinear Dynamical Systems
Abstract
In this letter, we construct extended balancing theory for nonlinear systems in the contraction framework. At first, we introduce the concept of the extended differential observability Gramian and inverse of the extended differential controllability Gramian for nonlinear dynamical systems and show their correspondence with generalized differential Gramians. We also provide how extended differential balancing can be utilized for model reduction to get a smaller apriori error bound in comparison with generalized differential balancing. We illustrate the results with an example of a mass-spring-damper system considering friction.
Year
DOI
Venue
2022
10.1109/LCSYS.2022.3183528
IEEE CONTROL SYSTEMS LETTERS
Keywords
DocType
Volume
Observability, Controllability, Reduced order systems, Nonlinear dynamical systems, Computational modeling, Time-varying systems, Symmetric matrices, Balancing, contraction, LMIs, model reduction, nonlinear systems
Journal
6
ISSN
Citations 
PageRank 
2475-1456
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Arijit Sarkar100.34
Jacquelien M. A. Scherpen249195.93