Coprime factorization and robust stabilization for discrete-time infinite-dimensional systems

Ruth F Curtain, Mark R Opmeer

Research output: Contribution to journalArticle

3 Citations (Scopus)
117 Downloads (Pure)

Abstract

We solve the problem of robust stabilization with respect to right-coprime factor perturbations for irrational discrete-time transfer functions. The key condition is that the associated dynamical system and its dual should satisfy a finite-cost condition so that two optimal cost operators exist. We obtain explicit state space formulas for a robustly stabilizing controller in terms of these optimal cost operators and the generating operators of the realization. Along the way we also obtain state space formulas for Bezout factors.
Original languageEnglish
Pages (from-to)101-115
Number of pages15
JournalMathematics of Control Signals and Systems
Volume23
Issue number1-3
DOIs
Publication statusPublished - 2011

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