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Further comments on "Design of piecewise constant gains for optimal control via Walsh functions"

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1 Author(s)
Dalton, O. ; White Sands Missle Range, NM, USA

Chen and Hsalo, describing a control problem via Walsh functions, include an algorithm to compute a coefficient matrix which involves inverting k matrices of order n, k depending on m , the number of Walsh functions used. Actually, only two n \times n matrices need be inverted for any m . The coefficient matrix, the product of a matrix and the Walsh matrix W , converts the Walsh expansion into a block pulse function [1] expansion; the transition matrix is simply related to a single precomputed matrix.

Published in:

Automatic Control, IEEE Transactions on  (Volume:23 ,  Issue: 4 )