Prescribed performance control of the fractional-order chaotic economical system with external disturbances

This paper presents a control method which is capable of guaranteeing prescribed performance bounds for a class of fractional-order chaotic economical system with external disturbances by means of the fractional-order control method. By prescribed performance hounds, 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. A fractional-order controller which can guarantee the prescribed performance of the tracking error is proposed for fractional-order chaotic economical systems. Finally, an illustrative simulation result is given to demonstrate the effectiveness of the proposed scheme.