A new design method for two degree of freedom controllers is presented. optimization methods are used to ensure a guaranteed level of robust stability and robust performance. The techniques are illustrated on a high purity distillation system.
A two-degree-of-freedom ℋ∞ control design method for robust model matching
✍ Scribed by Arvin Dehghani; Alexander Lanzon; Brian D. O. Anderson
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 305 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1049-8923
- DOI
- 10.1002/rnc.1070
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✦ Synopsis
Abstract
We propose an ℋ︁~∞~ controller design method which achieves a closed‐loop transfer function equal or otherwise sensibly close to a desired transfer function, viz. a model reference design. The proposed controller design method inherits the model reference feature of the internal model control design method and incorporates the weighting scheme of the ℋ︁~∞~ loop‐shaping. It utilizes Youla–Kucera parameterization in a two‐degree‐of‐freedom scheme to achieve robust model reference and high performance design while ensuring a sensible robust stability margin, and can be readily applied to the generic class of LTI systems (SISO, MIMO, stable, unstable). Copyright © 2006 John Wiley & Sons, Ltd.
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