Simple robust technique using time delay estimation for the controland synchronization of Lorenz systems

摘要

This work presents two simple and robust techniques based on time delay estimation forthe respective control and synchronization of chaos systems. First, one of these tech-niques is applied to the control of a chaotic Lorenz system with both matched and mis-matched uncertainties. The nonlinearities in the Lorenz system is cancelled by time delayestimation and desired error dynamics is inserted. Second, the other technique is appliedto the synchronization of the LB system and the Lorenz system with uncertainties. Thesynchronization input consists of three elements that have transparent and clear mean-ings. Since time delay estimation enables a very effective and efficient cancellation of distur-bances and nonlinearities, the techniques turn out to be simple and robust. Numericalsimulation results show fast, accurate and robust performance of the proposed tech-niques, thereby demonstrating their effectiveness for the control and synchronizationof Lorenz systems.