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Paper data
On Convex Stability Domain and Optimization of IIR Filters

Dumitrescu Bogdan, Dept. Automatic Control and Computers, Politehnica University of Bucharest

Page numbers in the proceedings:
Volume II pp 191-194

Filter Optimization

Paper abstract
We discuss descriptions of convex domains containing Schur polynomials, built around a given Schur polynomial. We show that the domain described by a positive realness constraint always contains the domain characterized by Rouche's theorem. We also show how to handle computationally the positive realness condition, using semidefinite programming, in the context of designing stable IIR filters. Two recent methods of Lang (IEEE Trans. SP, Nov.2000) and Lu et al (IEEE Trans. SP, Jan.1998) for optimizing IIR filters according to a least-squares criterion are modified to incorporate the positive realness condition and shown experimentally to give similar results.

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