Title
Parameter-dependent Lyapunov function approach to robust L2-L∞ filter design for uncertain time-delay systems
Abstract
An LMI-based method for robust L"2-L"~ filter design is proposed for polytopic uncertain time-delay systems using a parameter-dependent Lyapunov function approach. Based on a new characterization, a strict LMI condition for L"2-L"~ filter design is obtained, which does not involve any iterations for design parameter search, any couplings between the system matrices and the Lyapunov function matrix, nor any system-dependent filter parametrization. Therefore, the proposed condition enables us to easily employ, with the help of efficient numerical solvers, a parameter-dependent Lyapunov function approach to robust L"2-L"~ filter design for uncertain time-delay systems. A numerical example is presented to show the effectiveness of the proposed method.
Year
DOI
Venue
2011
10.1016/j.sigpro.2010.07.011
Signal Processing
Keywords
Field
DocType
parameter-dependent lyapunov function approach,robust l2-l,linear matrix inequality,robust l,parameter-dependent lyapunov function,design parameter search,robust l 2 – l ∞ filtering,time-delay system,lmi-based method,lyapunov function matrix,efficient numerical solvers,uncertain time-delay system,numerical example,system-dependent filter parametrization,proposed condition
Lyapunov function,Signal processing,Mathematical optimization,Iterative method,Matrix (mathematics),Control theory,Filter (signal processing),Lyapunov redesign,Mathematics,Linear matrix inequality,Filter design
Journal
Volume
Issue
ISSN
91
2
Signal Processing
Citations 
PageRank 
References 
1
0.35
6
Authors
3
Name
Order
Citations
PageRank
Hyoun-Chul Choi110.35
Soohee Han237471.38
Jin Heon Seo337323.20