Controlling chaos in electronic circuits

Abstract

Chaotic oscillations in electronic circuits are rather an unwanted phenomenon. We describe various control concepts the goal of which is to suppress chaos and to achieve a desired type of dynamic behaviour such as stable fixed point or a periodic orbit. The control concepts described here include: (i) system parameter variation; (ii) chaotic oscillation absorber; (iii) entrainment; (iv) linear feedback control; (v) time-delayed feedback, (vi) methods for stabilizing unstable periodic orbits: occasional proportional feedback and sampled input waveform methods. Advantages and drawbacks of these methods are described. Control towards chaotic states having several potential applications is also considered.