Title :
An application of semidefinite programming duality to derive bounds on the H∞ norm of a transfer matrix
Author :
Balakrishnan, V. ; Vandenberghe, L.
Author_Institution :
Sch. of Electr. Eng., Purdue Univ., West Lafayette, IN, USA
Abstract :
The problem of computing the H∞ norm of a transfer matrix can be reformulated as a semidefinite program (SDP), by considering a certain quadratic optimal control problem for an associated linear time-invariant system. We apply convex duality theory to this SDP to derive new upper and lower bounds for the H∞ norm
Keywords :
H∞ control; duality (mathematics); mathematical programming; transfer function matrices; H∞ norm bounds; SDP; convex duality theory; linear time-invariant system; quadratic optimal control; semidefinite programming duality; transfer matrix; Constraint optimization; Constraint theory; Control theory; Ear; Information systems; Internet; Laboratories; Optimal control; Symmetric matrices; Upper bound;
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.1996.577176
