DocumentCode
2560374
Title
New LMI-based conditions for robust H2 performance analysis
Author
Peaucelle, D. ; Arzelier, D.
Author_Institution
Lab. d´´Autom. et d´´Anal. des Syst., CNRS, Toulouse, France
Volume
1
Issue
6
fYear
2000
fDate
36770
Firstpage
317
Abstract
This paper presents robust H2 performance analysis results for linear time invariant systems with real parametric uncertainty. New conditions based on parameter-dependent Lyapunov functions are proposed. The results encompass a wide variety of uncertain systems since an L(Σ, Δ)-type modelling of uncertainties is considered. In the particular case when the modelling reduces to affine polytopic uncertainty, three types of parameter-dependent Lyapunov functions are compared. Valuable conclusions are inferred from a numerical example
Keywords
Lyapunov methods; continuous time systems; controllability; linear systems; matrix algebra; observability; optimal control; robust control; transforms; uncertain systems; Lyapunov functions; continuous time systems; controllability; linear fractional transform; linear matrix inequality; linear time invariant systems; observability; optimal control; parametric uncertainty; robust control; stability; uncertain systems; Constraint optimization; Cost function; Observability; Performance analysis; Robust control; Robust stability; Robustness; Sufficient conditions; Symmetric matrices; Uncertainty;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 2000. Proceedings of the 2000
Conference_Location
Chicago, IL
ISSN
0743-1619
Print_ISBN
0-7803-5519-9
Type
conf
DOI
10.1109/ACC.2000.878892
Filename
878892
Link To Document