Title :
Robust optimization-based control: an LMI approach
Author :
Prieur, Christophe ; Bendotti, Pascale ; El-Ghaoui, Laurent
Author_Institution :
Lab. d´´Analyse Numerique et EDP, Univ. de Paris-Sud, Orsay, France
Abstract :
An optimization-based control technique is developed for defining feasible input trajectories with respect to operating constraints. The proposed approach is based on the construction of a semidefinite programming (SDP) problem equivalent to the constrained control problem. When the system is subject to structured uncertainty, the nominal SDP problem is extended to account for uncertain parameters evolving in a certain ellipsoidal set
Keywords :
closed loop systems; continuous time systems; discrete time systems; mathematical programming; matrix algebra; nonlinear control systems; robust control; uncertain systems; constrained control problem; ellipsoidal set; feasible input trajectories; linear matrix inequalities; operating constraints; robust optimization-based control; semidefinite programming problem; structured uncertainty; uncertain parameters; Adaptive control; Constraint optimization; Control systems; Linear matrix inequalities; Open loop systems; Particle measurements; Predictive control; Robust control; Stability; Uncertainty;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.914144