Geodesic
Meromorphic observer-based pole assignment in time delay systems
Kybernetika, Tome 44 (2008) no. 5, pp. 633-648

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The paper deals with a novel method of control system design which applies meromorphic transfer functions as models for retarded linear time delay systems. After introducing an auxiliary state model a finite-spectrum observer is designed to close a stabilizing state feedback. The observer finite spectrum is the key to implement a state feedback stabilization scheme and to apply the affine parametrization in controller design. On the basis of the so- called RQ-meromorphic functions an algebraic solution to the problem of time- delay system stabilization and control is presented that practically provides a finite spectrum assignment of the control loop.
Classification : 93B55, 93C05, 93D15
Keywords: retarded time-delay system; meromorphic transfer function; reduced-order observer; state feedback; affine parametrization of stabilizing controllers 
@article{KYB_2008__44_5_a2,
     author = {Z{\'\i}tek, Pavel and Ku\v{c}era, Vladim{\'\i}r and Vyhl{\'\i}dal, Tom\'a\v{s}},
     title = {Meromorphic observer-based pole assignment in time delay systems},
     journal = {Kybernetika},
     pages = {633--648},
     publisher = {mathdoc},
     volume = {44},
     number = {5},
     year = {2008},
     mrnumber = {2479309},
     zbl = {1177.93043},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2008__44_5_a2/}
}
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Zítek, Pavel; Kučera, Vladimír; Vyhlídal, Tomáš. Meromorphic observer-based pole assignment in time delay systems. Kybernetika, Tome 44 (2008) no. 5, pp. 633-648. http://geodesic.mathdoc.fr/item/KYB_2008__44_5_a2/