Robust op amp circuit realizations using tridiagonal state space forms
Turer, D.
DeCarlo, R.
Sch. of ECE, Purdue Univ., West Lafayette, IN;
This paper appears in: Circuits and Systems, 2005. 48th Midwest Symposium on
Publication Date: 7-10 Aug. 2005
On page(s): 1-4 Vol. 1
Location: Covington, KY,
ISBN: 0-7803-9197-7
INSPEC Accession Number: 8956363
Digital Object Identifier: 10.1109/MWSCAS.2005.1594024
Current Version Published: 2006-02-21
Abstract
The standard controllable and observable canonical realizations have A-matrices whose eigenvalue locations are highly sensitive to small perturbations to the nonzero entries of the A-matrix that correspond to the coefficients of the characteristic polynomial. On the other hand, the eigenvalue locations of tri-diagonal A-matrices are relatively insensitive to similar perturbations. Given a SISO transfer function with known poles and zeros, this paper details an approach to state space realizations with tridiagonal A-matrices using a genetic algorithm and the equivalence of the realization with a canonical form
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