Title
Stability and performance in the presence of magnitude bounded real uncertainty: Riccati equation based state space approaches
Abstract
Abstract This paper is concerned,with Riccati-equation-based analysis methods,for determining,stability and performance,of perturbed feedback systems. The elements of the state-space representation of the systems are assumed to be linearly perturbed with real, magnitude-bounded uncertainties. Performance is defined as the value of the H, norm of the transfer function of interest. An analysis method based on checking the existence of a common,solution to a finite set of Riccati inequalities is proposed; it represents a nonconvex optimization problem. This problem,is then transformed into a convex optimization problem,by the use of properties of certain matrix inequalities.
Year
DOI
Venue
1992
10.1016/0005-1098(92)90045-H
Automatica
Keywords
Field
DocType
Stability,performance,robustness,Riccati equation,convex optimization
Mathematical optimization,Finite set,Mathematical analysis,Control theory,Riccati equation,Algebraic Riccati equation,Linear-quadratic regulator,State space,Optimization problem,Convex optimization,Mathematics,Bounded function
Journal
Volume
Issue
ISSN
28
4
0005-1098
Citations 
PageRank 
References 
2
15.52
1
Authors
3
Name
Order
Citations
PageRank
Dragan Obradovic17127.12
lena valavani23026.78
decision systems315934.45