OPTIMAL PLACEMENT AND GAINS OF PIEZOELECTRIC ACTUATORS FOR H_∞ VIBRATION ACTIVE CONTROL OF LARGE SPACE ANTENNA

摘要

In the field of vibration active control, the problem of optimal placement of actuators and sensors has being a hot subject. The key is to optimize two sets of design parameters, one set of parameters are the placements of actuators, and the other ones are the feedback gains. The closed-loop simultaneously optimizing method is a good one that has been adopted generally. But till now, the study on this method is only based on the systems with precise models. In this paper, the problem of optimal placement was dealt with for a system with imprecise model and uncertain disturbs. Unlike the systems with precise models which need only one performance function, there exist two performance functions that are unable to be unified in such system. In other words, the problem studied in this paper is a double- target optimization. The model was build up and the two performance functions were put forward. Then one kind of special genetic algorithm was used to optimize the two sets of parameters simultaneously. At the end, a simplified model of H_∞ Vibration Active Control of the Space Antenna Reflector was calculated, and the comparison of the results in this paper with the results in the related paper used open-loop method shows the above method is effective and feasible.