Title :
LTI representations of adaptive systems with tap delay-line regressors under sinusoidal excitation
Author :
Bayard, David S.
Author_Institution :
Jet Propulsion Lab., California Inst. of Technol., Pasadena, CA, USA
Abstract :
It is shown that an adaptive system whose regressor is formed by tap delay-line (TDL) filtering of a multitone sinusoidal signal is representable as a parallel connection of a linear time-invariant (LTI) block and a linear time-varying (LTV) block. The induced 2-norm of the LTV subsystem decreases as N-1 where N is the number of taps. Hence the adaptive system becomes LTI in the limit as the number of taps goes to infinity
Keywords :
adaptive systems; delay lines; filtering theory; linear systems; matrix algebra; robust control; signal processing; transfer functions; LTI representations; adaptive systems; induced 2-norm; linear time-invariant block; linear time-varying block; multitone sinusoidal signal; parallel connection; sinusoidal excitation; tap delay-line filtering; tap delay-line regressor; Adaptive filters; Adaptive systems; Delay systems; Filtering algorithms; H infinity control; Nonlinear filters; Power harmonic filters; Propulsion; Transfer functions; Vectors;
Conference_Titel :
American Control Conference, 1997. Proceedings of the 1997
Conference_Location :
Albuquerque, NM
Print_ISBN :
0-7803-3832-4
DOI :
10.1109/ACC.1997.610864
