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A New Approach to Stabilize a Class of Nonlinear Systems by ILC Method

Iterative learning control methods are represented as powerful tools to control dynamics nowadays. Our new controller based on particular case of iterative learning control is radically different from the presented conventional method, which attempts to stabilize a class of nonlinear systems by satisfying the conditions of Lyapunov Stability Theorem. Since our algorithm is model based, its robustness should be considered respect to perturbation in the system structure and Lipschitz condition number. Depending on our designed method one shouldn't worry in this paper about finding the Lyapunov function on the considered systems any longer.