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#### An LMI Approach to Automatic Loop-Shaping of QFT Controllers

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##### Citation

Bokharaie, V., & Khaki-Sedigh, A. (2006). An LMI Approach to Automatic Loop-Shaping of QFT Controllers. In International Control Conference (ICC 2006) (pp. 1-6). Glasgow, UK: University of Strathclyde Publishing.

Cite as: http://hdl.handle.net/21.11116/0000-0004-9A10-C
##### Abstract
Quantitative Feedback Theory (QFT) is one of the most effective methods of robust controller design. In QFT design, we can consider the phase information of the perturbed plant so it is less conservative than H$$\infty$$ and &micro;-synthesis methods. In this paper, we want to overcome the major drawback of QFT method, i.e., lack of an automated technique for loop-shaping. Clearly such an automatic process must involve some sort of optimization, and while recent results on convex optimization have found fruitful applications in other areas of control theory we have tried to use LMI theory for automating the loop-shaping step of QFT design.