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Model based control using fuzzy relational models

Gormandy, B. A. and Postlethwaite, B. E. (2001) Model based control using fuzzy relational models. In: 10th IEEE International Conference on Fuzzy Systems, 2001. IEEE, pp. 1581-1584. ISBN 078037293X

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The development of fuzzy internal model control (FIMC) is analogous to that of linear IMC. At the core of the FIMC is the novel crisp consequent fuzzy relational model (ccFRM). In this paper, we compare the behaviour of FIMC to IMC on a variety of linear systems. The comparison shows that, although FIMC behaves well when used with SISO systems, it suffers severe difficulties in dealing with MIMO systems with dead-times. A possible solution to this, again from analogy with linear IMC, is to approximate the model inverse with a model predictive controller.