振动主动控制中检测器和作动器的最优配置

OPTIMIZATION PLACEMENT OF SENSORS AND ACTUATORS IN ACTIVE VIBRATION CONTROL

提出了振动主动控制系统中最大主动阻尼耗能准则，以此准则为目标函数求解检测器和作动器的最优配置问题。为了获得全局最优解，引入了模拟退火（ＳＡ）算法，并对其进行了改进，对一离散的三自由度系统和连续梁系统中检测器和作动器的最优配置进行了数值计算和实验验证，计算结果与实验结果的一致性很好，证明了所建立的准则和算法的可行性和实用性。

A criterion of the maximum active energy dissipation in active vibration control is pre-sented,by which as a cost function the optimal placement of sensors/actuators can besolved.The Simulated Annealing(SA)algorithm is introduced and improved in order tosolve the problem and obtain the overall optimal solution. As examples,the optimal place-ment of sensors/actuators for a three degrees of freedom of discrete system and a cantileverbeam is numerically analyzed,and a simple control experiment of the beam is carried out.Good agreement between the optimization and the experimental results is found. All of theseshow the feasibility and applicability of the criterion and the SA algorithm developed in this paper.