Tracking control of chaotic dynamical systems based on the state observer

Based on the feedback linearization and nonlinear statement observer method, a new method was proposed for tracking the desired output of chaotic dynamical system. The feedback linearization was used to convert, the nonlinear chaotic system into linearized system. The Luenberger-like statements observer was designed to reconstructing and observing the unmeasured statements when the tracking controller was designed. By this way, the chaotic system could be forced to track variable desired output, which could be a time variant function or an equilibrium points. Taken the Lorenz chaotic system as example, the simulation results showed the validity of the conclusion and effectiveness of the algorithm.