Nonlinear feedback for controlling the Lorenz equation

This work presents a nonlinear feedback approach for controlling the Lorenz equation. The derivation of the feedback is based on linearizing an input-output dynamic of the system, which leads to large regions of asymptotic stability. Here the input signal to the Lorenz equation is the applied heat via the Rayleigh number. The performance of the nonlinear feedback is tested via the stabilization of equilibrium points and periodic orbits.