Expansion of high-frequency vibrational control for global stabilization of chaotic systems

This paper discusses the expansion of high-frequency vibrational control for the global stabilization of chaotic systems. Such control has the advantage that it does not require state measurement and processing capabilities that are required in conventional feedback control. Also, the merit of this approach rather than other open-loop approaches is its robustness against periodic disturbance and special uncertainty (parametric and non-parametric uncertainty). By using a nonlinear multiplicative vibrational controller, we obtain an analytical approach for finding the global stabilization conditions for chaotic systems. Also, the result of numerical simulation for the Lorenz system verified the analytical solutions

کلیدواژه ها:

open-loop control ، chaotic system ، vibrational control ، high-frequency input control