Sugeno, Mamdani, and fuzzy Mamdani controllers put in a uniform interpolation framework
✍ Scribed by A. Nowé
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 129 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0884-8173
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✦ Synopsis
In this paper we present a general framework for proving that fuzzy controllers are universal approximators. The framework results from the duality between fuzzy control and interpolation. An important aspect of this framework is its constructive nature, which allows us to prove the approximation capabilities of ''crisp valued'' as well as ''fuzzy valued'' fuzzy controllers. We also discuss a possible semantic interpretation of a fuzzy conclusion as a fuzzy restriction on the possible values a control action can take. Based on this semantic point of view, robust fuzzy controllers can be built. Where appropriate we refer to related work on the approximation capabilities of fuzzy controllers.