Novel-fuzzy-model based modeling and control of nonlinear chaotic systems with uncertainty

Chaos is observed in many practical applications in engineering, biology and economics, which is an interdisciplinary research topic and received great attention from various kinds of fields. Chaos studies the behavior of dynamical systems that are highly sensitive to initial conditions. Therefore, a practical tool for mathematical modeling is essential. Ge and Li provide a simple fuzzy model to extend the classical Takagi-Sugeno fuzzy model and try to re-annotate the possibility of Fuzzy logic concept in the end of 2011. This novel model brings the idea of modeling each equation and has been cited by several research and application articles and reports over 20 times covered with chemistry simulation, time delay model and so on. In this study, Sprott series system with uncertainties is illustrated in numerical simulations to show the effectiveness and feasibility of the proposed fuzzy model and the corresponding control scheme.