Robust Control for a Class of Nonlinear Systems Based on Backstepping

Based on coordinate transform, the paper deduced the principle with which Chua’s chaotic system can be translated into the so-called general strict-feedback form. Combining the backstepping method with robust control technology, an adaptive parameter control law is developed and thus the output tracking is successfully accomplished for the system with unknown parameters and dynamic uncertainties. It is proved that all states of the closed-loop system are globally uniformly ultimately bounded, and lead the system tracking error to a small neighborhood. Finally simulation results are provided to show the effectiveness of the proposed approach.