Abstract
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.
Original language | English |
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Pages (from-to) | 143-155 |
Number of pages | 13 |
Journal | International Journal of Robust and Nonlinear Control |
Volume | 9 |
Issue number | 3 |
DOIs | |
Publication status | Published - Mar 1999 |
Externally published | Yes |
ASJC Scopus subject areas
- Control and Systems Engineering
- General Chemical Engineering
- Biomedical Engineering
- Aerospace Engineering
- Mechanical Engineering
- Industrial and Manufacturing Engineering
- Electrical and Electronic Engineering