,Tracking Desired Trajectory in a Vibro-Impact System Using Backstepping Design

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Based on the backstepping design of smooth systems, we developed a new control law to achieve chaos control for a vibro-impact system. In our control strategy, a novel and effective controller is designed such that the output of the vibro-impact system can track any desired trajectory in its domain.The single-degree-of-freedom vibro-impact system is taken as an example to show this control procedure.Numerical simulations are provided to verify the effectiveness of the proposed method.
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