Coprime factorization and robust stabilization for discrete-time infinite-dimensional systems
Reference:
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.
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Official URL:
http://dx.doi.org/10.1007/s00498-011-0068-5
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.
Details
| Item Type | Articles |
| Creators | Curtain, R. F.and Opmeer, M. R. |
| DOI | 10.1007/s00498-011-0068-5 |
| Departments | Faculty of Science > Mathematical Sciences |
| Publisher Statement | Opmeer_MCSS_2011.pdf: The original publication is available at www.springerlink.com |
| Refereed | Yes |
| Status | Published |
| ID Code | 27143 |
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