Title
An LMI-based functional estimation scheme of large-scale time-delay systems with strong interconnections.
Abstract
In this paper, the problem of distributed functional state observer design for a class of large-scale interconnected systems in the presence of heterogeneous time-varying delays in the interconnections and the local state vectors is considered. The resulting observer scheme is suitable for strongly coupled subsystems with multiple time-varying delays, and is shown to give better results for systems with very strong interconnections while only some mild existence conditions are imposed. A set of existence conditions are derived along with a computationally simple observer constructive procedure. Based on the Lyapunov–Krasovskii functional method (LKF) in the framework of linear matrix inequalities (LMIs), delay-dependent conditions are derived to obtain the observer parameters ensuring the exponential convergence of the observer error dynamics. The effectiveness of the obtained results is illustrated and tested through a numerical example of a three-area interconnected system.
Year
DOI
Venue
2016
10.1016/j.jfranklin.2016.04.017
Journal of the Franklin Institute
Field
DocType
Volume
State observer,Mathematical optimization,Decentralised system,Linear system,Control theory,Fault detection and isolation,Matrix (mathematics),Exponential stability,Observer (quantum physics),Mathematics,Dynamical system
Journal
353
Issue
ISSN
Citations 
11
0016-0032
1
PageRank 
References 
Authors
0.35
0
3
Name
Order
Citations
PageRank
Wei Yin Leong151.48
H. Trinh240941.65
Le V. Hien321318.20