Geodesic
Continuous-time input-output decoupling for sampled-data systems
Kybernetika, Tome 35 (1999) no. 6, p. [721]

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The problem of obtaining a continuous-time (i. e., ripple-free) input-output decoupled control system for a continuous-time linear time-invariant plant, by means of a purely discrete-time compensator, is stated and solved in the case of a unity feedback control system. Such a control system is hybrid, since the plant is continuous-time and the compensator is discrete-time. A necessary and sufficient condition for the existence of a solution of such a problem is given, which reduces the mentioned hybrid control problem to an equivalent purely continuous-time decoupling problem. A simple necessary and sufficient condition for the existence of a solution of such a continuous-time decoupling problem is given for square plants (with and without the additional requirement of the asymptotic stability of the over-all control system), together with a parameterisation of all the decoupling controllers. Moreover, for square plants, it is shown that, whenever the hybrid control problem admits a solution, any solution of the corresponding decoupling problem for the discrete-time model of the given continuous-time system is also a solution of the hybrid control problem.
Classification : 93B17, 93B52, 93C30, 93C57
Keywords: continuous-time control; input-output decoupling; sampled-data systems; unity feedback control 
@article{KYB_1999__35_6_a5,
     author = {Grasselli, Osvaldo M. and Menini, Laura},
     title = {Continuous-time input-output decoupling for sampled-data systems},
     journal = {Kybernetika},
     pages = {[721]},
     publisher = {mathdoc},
     volume = {35},
     number = {6},
     year = {1999},
     mrnumber = {1747972},
     zbl = {1274.93185},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_1999__35_6_a5/}
}
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Grasselli, Osvaldo M.; Menini, Laura. Continuous-time input-output decoupling for sampled-data systems. Kybernetika, Tome 35 (1999) no. 6, p. [721]. http://geodesic.mathdoc.fr/item/KYB_1999__35_6_a5/