Title :
Frequency weighted identification and model reduction via extended impulse response Gramian
Author :
Diab, M. ; Sreeram, V. ; Liu, W.Q.
Author_Institution :
Dept. of Electr. & Electron. Eng., Western Australia Univ., Nedlands, WA, Australia
Abstract :
A method is presented for identification and model reduction of frequency weighted linear discrete time invariant systems. The method is an extension of the method developed by Aug et al. (1995), and is based on the extended impulse response Gramian (EIRG). A weighting matrix formed from the impulse response of the frequency weighting is used to weight the EIRG of the original system. The identified/reduced order models are obtained via singular value decomposition of the frequency weighted EIRG and are shown to converge to frequency weighted balanced realization under certain conditions
Keywords :
controllability; discrete time systems; identification; linear systems; observability; reduced order systems; singular value decomposition; transient response; controllability; discrete time systems; extended impulse response Gramian; frequency weighted identification; linear systems; model reduction; observability; reduced order models; singular value decomposition; weighting matrix; Control system synthesis; Control systems; Controllability; Convergence; Discrete time systems; Frequency; Observability; Reduced order systems; Singular value decomposition; System identification;
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.1997.652353
