A framework of fuzzy hybrid systems for modelling and control

Abstract

This paper presents a new approach to modelling and control of hybrid systems with both continuous variables and discrete events. Applying the fuzzy set theory, a hierarchical fuzzy hybrid structure consisting of a fuzzy discrete event dynamic system and a continuous variable dynamic system is constructed, which not only captures the hybrid continuous/discrete dynamics but also handles the uncertainties in states and state transitions. The identification of continuous and discrete components is developed, and the hybrid control is then synthesised by fuzzy IF -THEN rules embedded in the fuzzy interface. An example of the optimisation of a production line in manufacturing shows the efficacy of the proposed approach.

Stabilization of Rössler chaotic dynamical system using fuzzy logic control algorithm

“…The LMI-based solutions should have linear models in the conclusions, and this can negatively affect the chaotic behavior in spite of the fact that fuzzy models are considered as universal approximators (Li 2006;Angelov and Yager 2012;Ding, Shu, and Liu 2013). However, several approaches can be applied to obtain fuzzy models with different accuracies (Angelov and Filev 2004;Belohlávek et al 2009;Cheng, Dong, and Pedrycz 2010;Joelianto, Anura, and Priyanto 2013;Johanyák and Papp 2012;Precup and Hellendoorn 2011;Teodorescu 2012a).…”