Title :
How Conservative is Frozen-time Interpolation?
Author_Institution :
Department of Electrical and Computer Engineering, Wayne State University, 5050 Anthony Wayne Drive, Detroit, Michigan 48202, U.S.A.
Abstract :
It is shown in this note that for SISO system under l2 disturbances, when data commute approximately with the shift the optimal interpolation (over all linear time-varying interpolants) can be approximated by the supreme of the frozen-time Hankel norms. This confirms the intuition that the frozen-time constructed optimal or suboptimal interpolants are in fact nearly optimal when data vary slowly.
Keywords :
Algebra; Control systems; Entropy; Frequency locked loops; Interpolation; Optimal control; Optimized production technology; Robustness; Tellurium; Time varying systems; Arveson´s formula; Slowly time-varying systems; frozen time design; optimal interpolation;
Conference_Titel :
American Control Conference, 1992
Conference_Location :
Chicago, IL, USA
Print_ISBN :
0-7803-0210-9
