Development of a new linearizing controller using Lyapunov stability theory and model reference control

<p><span>One of the most challenging aspects in nonlinear control a magnetic levitation (Maglev) system is to find an efficient algorithm achieve stability and accuracy closed-loop system. The challenge then develop linearizing maintain steel ball at desired position. In this paper, novel proposed, which consists Lyapunov direct method (LDM) model reference (MRC). function developed using equations system, linear second order Two methods are guarantee robustness output stability. Firstly, new integral quadratic regulator (ILQR) designed for model. Then, additional innovative proportional gain combined with controller make signal stronger. simulation results indicate that proposed has excellent set-point tracking, no time delay, fast rising settling times, achieves states stability.</span></p>