Title :
A geometric approach to the l1 linear control problem
Author :
Dórea, Carlos E T ; Hennet, Jean-Claude
Author_Institution :
LAAS-CNRS, Toulouse, France
Abstract :
The l1 control problem is formulated for linear discrete-time systems subject to persistent bounded additive disturbances. Given an l1 performance bound, the problem is solvable if and only if the supremal controlled invariant domain with internal stability contained in the domain defined by the required performance is not empty. A decomposition scheme based on the geometric approach for linear control systems is proposed to construct an admissible domain and to check the existence of a solution
Keywords :
discrete time systems; geometry; linear systems; optimal control; stability; admissible domain; decomposition scheme; geometric approach; internal stability; l1 linear control problem; l1 performance bound; linear discrete-time systems; persistent bounded additive disturbances; supremal controlled invariant domain; Asymptotic stability; Control systems; Linear matrix inequalities; Matrix decomposition; Null space; Optimal control; State feedback; State-space methods; Symmetric matrices; Vectors;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.657705
