DocumentCode
1518110
Title
Generalized l2 synthesis
Author
D´Andrea, Raffaello
Author_Institution
Dept. of Mech. & Aerospace Eng., Cornell Univ., Ithaca, NY, USA
Volume
44
Issue
6
fYear
1999
fDate
6/1/1999 12:00:00 AM
Firstpage
1145
Lastpage
1156
Abstract
Introduces a general framework for control design which can be used to solve several open problems in robust and optimal control. These include systems subject to independently norm-bounded disturbances, robust stability for systems subject to “element by element” bounded structured uncertainty, certain classes of robust performance problems, and systems subject to deterministic white noise disturbances. This is achieved by combining concepts such as H-infinity optimization, linear matrix inequalities, and integral quadratic constraints. Necessary and sufficient conditions for the general problem to have a solution are in terms of a computationally attractive finite-dimensional linear matrix inequality
Keywords
H∞ control; H∞ optimisation; control system synthesis; matrix algebra; robust control; uncertain systems; white noise; H-infinity optimization; control design framework; deterministic white noise disturbances; element by element bounded structured uncertainty; generalized l2 synthesis; independently norm-bounded disturbances; integral quadratic constraints; linear matrix inequalities; necessary and sufficient conditions; robust performance problems; robust stability; Constraint optimization; Control design; H infinity control; Linear matrix inequalities; Noise robustness; Optimal control; Robust control; Robust stability; Uncertainty; White noise;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.769369
Filename
769369
Link To Document