Evaluating Fuzzy Controller Robustness Using Model Checking

  • Authors:
  • Giuseppe Penna;Benedetto Intrigila;Daniele Magazzeni

  • Affiliations:
  • Department of Computer Science, University of L'Aquila, Italy;Department of Mathematics, University of Roma "Tor Vergata", Italy;Department of Computer Science, University of L'Aquila, Italy

  • Venue:
  • WILF '09 Proceedings of the 8th International Workshop on Fuzzy Logic and Applications
  • Year:
  • 2009

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Abstract

Fuzzy control is well known as a powerful technique for designing and realizing controllers. However, statistical evidence for their correct behavior may be not enough, even when it is based on a large number of samplings. Therefore, much work is being done to provide a systematic verification of fuzzy controllers and to asses their robustness , that is the ability of a controller to maintain good performance even in the presence of significant disturbances or parameter variations. In the present paper, we introduce a model checking based methodology for the fuzzy controller robustness analysis, that can be applied on plant-controller pairs in a nearly automatic way, giving higher precision results than other approaches, such as cell mapping. We support our conclusions with a case study that compares two different fuzzy controllers for the inverted pendulum on a cart problem.