Adaptive fuzzy prescribed performance control for a class of uncertain chaotic economical system

This paper presents a fuzzy adaptive control method for a class of uncertain chaotic economical system, capable of guaranteeing prescribed performance bounds. By prescribed performance bounds we mean that tracking error should converge to a predefined arbitrarily small set, with convergence rate no more than a prescribed value. The main idea is to transform the original constrained system into an equivalent one via an appropriately defined output error transformation. Furthermore, for updating the parameters of the fuzzy logic systems, a proportional-integral adaptation law is introduced. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed results.