Title :
Generalized l2 synthesis
Author :
D´Andrea, Raffaello
Author_Institution :
Dept. of Mech. & Aerospace Eng., Cornell Univ., Ithaca, NY, USA
fDate :
6/1/1999 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
