CONTROLLING CHAOS IN A PENDULUM SUBJECTED TO FEEDFORWARD AND FEEDBACK CONTROL

We consider a pendulum subjected to feedforward and feedback control, in which chaotic motions occur when the feedback gain is small. We apply two control techniques recently proposed by Ott and his coworkers so that the pendulum can exhibit the desired motion. The techniques use some dynamical properties relating to chaos. Numerical examples are given and the effectiveness of these control techniques is demonstrated.

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