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Direct reduced order discretization of continuous-time controller

โœ Scribed by B. D. O. Anderson; K. Chongsrid; D. J. N. Limebeer; S. Hara

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
172 KB
Volume
9
Category
Article
ISSN
1049-8923

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โœฆ Synopsis

In this paper, we investigate the problem of closed-loop approximation of a continuous-time controller by a low-order discrete-time controller with sample and hold devices and an anti-aliasing filter. The problem is first reduced to an open-loop problem of sampled-data controller reduction with continuous-time weights. The operator representing the error in approximation can be approximated (arbitrarily closely) by a time-invariant discrete-time system resulting from applying fast sampling and lifting. We propose a method for obtaining a low-order discrete-time controller which makes small the approximation error based on recasting the approximation problem as a four-block H problem. The latter can be solved efficiently by the method proposed by Glover et al. We also give a numerical example to verify the effectiveness of the method.

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