Discrete-time model reduction in limited frequency rangesA mathematical formulation for model reduction of discrete time systems such that the reduced order model represents the system in a particular frequency range is discussed. The algorithm transforms the full order system into balanced coordinates using frequency weighted discrete controllability and observability grammians. In this form a criterion is derived to guide truncation of states based on their contribution to the frequency range of interest. Minimization of the criterion is accomplished without need for numerical optimization. Balancing requires the computation of discrete frequency weighted grammians. Close form solutions for the computation of frequency weighted grammians are developed. Numerical examples are discussed to demonstrate the algorithm.
Document ID
19910065133
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Horta, Lucas G. (NASA Langley Research Center Hampton, VA, United States)
Juang, Jer-Nan (NASA Langley Research Center Hampton, VA, United States)
Longman, Richard W. (NASA Langley Research Center Hampton, VA, United States)
Date Acquired
August 14, 2013
Publication Date
January 1, 1991
Subject Category
Cybernetics
Report/Patent Number
AIAA PAPER 91-2813
Meeting Information
Meeting: AIAA Guidance, Navigation and Control Conference