Title :
A global optimization approach for the H2-norm model reduction problem
Author :
Assunção, Edvaldo ; Peres, Pedro L D
Author_Institution :
DEE/FEIS/UNESP, Paulista State Univ., Brazil
Abstract :
A branch and bound algorithm is proposed to solve the H2-norm model reduction problem for continuous-time linear systems, with conditions assuring convergence to the global optimum in finite time. The lower and upper bounds used in the optimization procedure are obtained through linear matrix inequalities formulations. Examples illustrate the results
Keywords :
continuous time systems; convergence; linear systems; matrix algebra; optimisation; reduced order systems; state-space methods; tree searching; H2-norm model reduction problem; branch and bound algorithm; continuous-time linear systems; global optimization approach; global optimum; linear matrix inequalities; lower bounds; upper bounds; Analytical models; Control design; Convergence; Electronic mail; Iterative algorithms; Linear matrix inequalities; Linear systems; Reduced order systems; State-space methods; Upper bound;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.830904
