Variable structure control approach for controlling chaos

A chaotic system can be considered as a system that has its own limited energy source. A smart way of controlling chaos is to use the energy source and redirect it towards the region where desired performance is expected. A small perturbation of a parameter in the chaotic systems can serve the purpose. Variable structure control strategy as a natural candidate is examined in this paper for control of chaos in dynamical systems. It is shown that, by switching between two values of a perturbed parameter in chaotic systems, a sliding region can be created in which the desired performance is achievable. The stabilization and tracking of a periodic signal of the Rössler system are studied as an example. The effectiveness of the approach is analyzed and demonstrated with computer simulations.