15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
TIME-DOMAIN FILTERING AND CONTROL WITH EMPIRICAL DATA
Bernard Friedland
Department of Electrical and Computer Engineering
New Jersey Institute of Technology
Newark, NJ, 07102, USA
email:bf@njit.edu

The transmission matrix, introduced by Friedland in 1957, can be used to characterize a linear, time invariant system having an emprically-determined impulse response. The Wiener-Kalman filter can be determined by Cholesky factorization of a covariance matrix formed from the transmission matrix. An analogous result is given for linear, quadratic control. The method is illustrated by several examples.
Keywords: Impulse response, Kalman filtering, Wiener filtering, Control algorithms, Dynamic matrix control

E-mail: bf@njit.edu
Session slot T-Fr-M16: Advances in MV and LQ Controller Design/Area code 2a : Control Design