基于综合模态动能的作动器优化配置遗传算法

Optimal Allocation of Actuators Using Genetic Algorithm Based on Comprehensive Modal Kinetic Energy

为提升控制系统对宽频带荷载的控制效果,以多阶目标模态动能同时达到最大为优化目标函数,提出了一种新的作动器位置优化准则。以悬臂板为研究对象,应用包含多种改进机制的遗传算法求取最优结果,并通过LQR控制算法对比综合模态准则、均匀布置和可控度准则的控制效果。结果表明,改进遗传算法可获得稳定的最优解;在宽频荷载下,综合模态准则的控制效果优于均匀布置,综合模态准则与可控度准则的效果相同,但求解效率优于后者。

In order to improve the performance of control system on wide-band loads,using multi-order modal kinetic energy which can reach maximum simultaneously as the optimal objective function,a new optimal criterion for actuator placement is proposed.Taking a cantilever plate as a numerical example,agenetic algorithm containing multiple improved mechanisms is used to obtain the optimal results,and the respective control effects of comprehensive modal criterion,uniform arrangement,and controllability criterion are compared through the LQR control.The analytical results show that the improved genetic algorithm can obtain a stable optimal solution.Under wide bandwidth loads,the control effect of comprehensive modal criterion is better than uniform layout,and the effect of comprehensive mode criterion is the same as controllability criterion,but the solution efficiency is better than the latter.