Model reference control of regular and chaotic dynamics in the Duffing-Ueda oscillator

This paper investigates a control strategy which uses an identified reference model to produce appropriate chaotic and nonchaotic reference trajectories. Although it is possible to dispense with the reference model in many applications, it is often desirable to obtain a model of the system in order to guarantee that the reference signal is a genuine trajectory of the system to be controlled and to reduce the effects of transients and the control effort. The influence of measurement noise and the relation between the control effort and the dynamics of the uncontrolled system are also discussed. Examples which use the Duffing-Ueda system and a discrete reference model identified from input/output records with no a priori information, are included to illustrate the main points of the paper