Stabilizing Predictive Control of Fuzzy Systems Described by Takagi-Sugeno Models

نویسندگان

  • Martin Herceg
  • Michal Kvasnica
  • Miroslav Fikar
چکیده

The paper concerns with synthesis of stabilizing controllers for processes described by fuzzy Takagi-Sugeno models. Commonly in the fuzzy control it is difficult to design control strategies which guarantee that the closed-loop system will be asymptotically stable. Standard approaches which rely on co-stabilization of the whole collection of local models are usually overly conservative. Therefore we propose to transform the fuzzy description into a piecewise affine (PWA) model for which efficient control strategies guaranteeing closed-loop stability exist. The PWA transformation procedure approximates the overlaps naturally present in fuzzy models by means of an unknown, but bounded additive uncertainty. Once such a PWA model is available, we propose to use a minimum-time strategy to design a stabilizing feedback law. Moreover, we show that the controller takes a form of a look-up table, which can be evaluated in real-time.

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تاریخ انتشار 2007