A system identification and vibration control strategy for a flexible manipulator with a collocated piezoelectric sensor/actuator pair is presented in this paper. An iteratively implemented genetic algorithm is applied to the system identification problem of the flexible manipulator. A control law based upon positive position feedback is developed for vibration suppression. A minimization criterion based on the H∞-norm of the closed loop system is solved by a genetic algorithm to derive optimal controller parameters. Numerical simulations are performed to verify the effectiveness of the system identification and vibration controller.

This paper presents a vibration control strategy for a flexible manipulator with a collocated piezoelectric sensor/ actuator pair. Dynamic modeling of the flexible manipulator is first shown, and then a control law is developed. The proposed vibration controller combines the input shaping technique with multimode adaptive positive position feedback. An adaptive parameter estimator based on the recursive least-square method is developed to update the system's natural frequencies, which are used by the adaptive positive position feedback. A proportional-derivative controller is combined with the proposed vibration controller to suppress vibration while slewing the manipulator. Simulation results are presented to illustrate the efficacy of the proposed controller.

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A genetic algorithm is implemented to identify the transfer function of an experimental system consisting of a flexible manipulator with a collocated piezoelectric sensor/actuator pair. A multi-mode positive position feedback controller is then designed based upon the identified transfer function. To this end, the same iteratively implemented genetic algorithm is used to optimize all controller parameters by minimization of the closed loop H∞-norm. The designed controller is then applied for vibration suppression on the experimental system.

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