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Active vibration suppression of flexible manipulators is important in many engineering applications, such as robot manipulators and high-speed flexible mechanisms. The demand for short settling time and low energy consumption of the vibration suppression requires consideration of optimal control. Under a wide range of operating conditions, however, the fixed optimal parameters .determined for a control algorithm might not produce the best performance. Therefore, to enhance performance. this paper suggests a lookup table control method for a flexible manipulator. This method can tune itself to the optimal parameters on the basis of initial maximum responses to the controlled system. In this study, the multi-objective genetic algorithm is used to search for the optimal parameters with regard to positive position feedback to the control algorithm, thereby minimizing a multi-objective function of settling time and energy consumption during vibration control of a flexible manipulator. Both simulation and experimental results indicate that the energy consumption can be reduced significantly while the settling time is slightly increased.

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Abstract
1. INTRODUCTION
2. LOOKUP TABLE CONTROL METHOD
3. ENERGY CONSUMPTION of the LIPCA ACTUATOR
4. EXPERIMENTAL SETUP
5. RESULTS AND DISCUSSION
6. CONCLUSION
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