Simple, robust control and synchronization of the Lorenz system

Abstract

Simple and robust techniques based on time delay estimation (TDE) are proposed to control and synchronize the Lorenz system. TDE provides a simple and easily applicable control input that does not require a precise system model and cancels a wide class of uncertainties. Both the tracking error and estimation error converge in finite time. Control and synchronization are achieved with a single control architecture, even in the presence of parameter variation and disturbance. Simulation results demonstrate fast convergence to the desired states and robustness to uncertainties and TDE error. © 2013 Springer Science+Business Media Dordrecht.