Tensor Product Model Transformation in Polytopic Model-Based Control

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Chapter 12

Convex Hull Manipulation

In the prevailing literature, one can find a considerable number of papers on tractable

and systematic manipulation of linear matrix inequalities (LMIs) aimed at achieving

the best control performance. Most of these works are devoted to the derivation of

new and more powerful LMIs to facilitate enhanced control system design. In con-

trast, relatively little attention has been given to the transformation of given models

into proper polytopic, affine model representations in order to influence the feasi-

bility and effectiveness of the applied LMIs, and hence the resulting control perfor-

mance. In this regard,