Abstract
The problem of robust stabilization with respect to left coprime factor perturbations was first solved explicity for the rational case in Glover and McFarlane [14]. The irrational case was treated in Georgiou and Smith [12], where it was shown that a solution exists provided that the transfer function has a normalized doubly coprime factorization. Our new contribution is to solve this classic problem for the following very general class of transfer functions \(\mathbf{G}(s)\in\mathcal{L}(U,Y)\), where U, and Y are separable Hilbert spaces and G has the following realization.
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Curtain, R.F. Robustly Stabilizing Controllers with Internal Loop. In: Francis, B.A., Smith, M.C., Willems, J.C. (eds) Control of Uncertain Systems: Modelling, Approximation, and Design. Lecture Notes in Control and Information Science, vol 329. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11664550_5
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DOI: https://doi.org/10.1007/11664550_5
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-31754-8
Online ISBN: 978-3-540-31755-5
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