Title :
L2 and L2-L∞ model reduction via linear matrix inequalities
Author :
Grigorindis, K.M. ; Lu, J. ; Skelton, R.E.
Author_Institution :
Dept. of Mech. Eng., Houston Univ., TX, USA
Abstract :
Necessary and sufficient conditions are derived for the existence of a solution to the continuous-time and discrete-time suboptimal L2 and L2-L∞ model reduction problems. These conditions are expressed in terms of linear matrix inequalities (LMIs) and a coupling non-convex rank constraint set. In addition, explicit parametrizations of all reduced-order models that correspond to a feasible solution are presented in terms of contractive matrices
Keywords :
continuous time systems; discrete time systems; matrix algebra; reduced order systems; state-space methods; L2 model reduction; L2-L∞ model reduction; continuous-time model reduction; contractive matrices; coupling nonconvex rank constraint set; discrete-time suboptimal model reduction; explicit parametrizations; linear matrix inequalities; necessary and sufficient conditions; reduced-order models; Linear matrix inequalities; Matrices; Reduced order systems; State-space methods; Sufficient conditions;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.577461
