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

Volume

3

fYear

2000

fDate

2000

Firstpage

2317

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2000. Proceedings of the 39th IEEE Conference on

Conference_Location

Sydney, NSW

ISSN

0191-2216

Print_ISBN

0-7803-6638-7

Type

conf

DOI

10.1109/CDC.2000.914144

Filename

914144