Multirate digital control design of an optimal regulator via singular perturbation theory |
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| Authors: | HISASHI KANDO TETSUO IWAZUMT |
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| Affiliation: | 1. Center of Information Processing Education , Nagoya Institute of Technology , Gokiso-cho, Showa-ku, Nagoya, Japan;2. Department of Electrical and Computer Engineering , Nagoya Institute of Technology , Gokiso-cho, Showa-ku, Nagoya, Japan |
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| Abstract: | In this paper a multirate digital control design of an optimal regulator is investigated via singular perturbation theory. It is shown that the singularity perturbed continuous-time regulator leads, under slow and fast sampling rates, to two different discrete-time versions. They are decomposed into slow and fast subsystems, and then these solutions are combined in a proper way. Within the framework of such a decomposition-coordination principle, a multirate control design is developed naturally. Furthermore, the problem of the asymptotic stability of a multirate controlled system is investigated and the relationship between the original continuous-time version and the multirate controlled version is discussed. |
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