Curtain, R. F. and Opmeer, M. R., 2011. Coprime factorization and robust stabilization for discrete-time infinite-dimensional systems. Mathematics of Control Signals and Systems, 23 (1-3), pp. 101-115.
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.
|Item Type ||Articles|
|Creators||Curtain, R. F.and Opmeer, M. R.|
|Departments||Faculty of Science > Mathematical Sciences|
|Publisher Statement||Opmeer_MCSS_2011.pdf: The original publication is available at www.springerlink.com|
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