Paper Info
Title
Robustness analysis of uncertain linear descriptor systems: Unified approaches using gLFTs, LMIs, and μ
Abstract
This paper studies the impulsive behavior and robust stability and performance of continuous-time uncertain linear descriptor systems, which are described by a combination of differential and algebraic equations. We present necessary and sufficient conditions for robust stability and several dissipation performance indices of uncertain linear descriptor systems represented as generalized linear fractional transformations (gLFTs). The conditions are written as linear matrix inequalities (LMIs), which are computable in polynomial-time. Unified and generalizable convex conditions are provided for the analysis of robust stability and performance for linear descriptor systems with structured uncertainty. A necessary and sufficient condition for robust impulse-free dynamics for structured uncertain systems is derived from using structured singular value (μ) theory and incorporated into associated robust stability conditions.
Year
DOI
Venue
2013
10.1109/ACC.2013.6580756
ACC
Keywords
Field
DocType
algebraic equations,glft,lmi,uncertain systems,generalized linear fractional transformations,robust stability,μ,differential algebraic equations,robust control,robustness analysis,structured uncertainty,continuous time systems,impulsive behavior,continuous-time uncertain linear descriptor systems,linear matrix inequalities,linear systems,differential equations,mathematical model,ellipsoids,robustness,uncertainty
System of linear equations,Linear system,Linear-quadratic-Gaussian control,Control theory,Matrix (mathematics),Stability conditions,Control engineering,Robustness (computer science),Differential algebraic equation,Robust control,Mathematics
Conference
ISSN
ISBN
Citations 
0743-1619
978-1-4799-0177-7
0
PageRank 
References 
Authors
0.34
5
2
Name
Order
Citations
PageRank
Kwang Ki Kevin Kim1133.70
Richard D. Braatz2417108.65