According to the characteristics of piezoelectric smart structures, the active vibration control of a piezoelectric intelligent beam system composed of a cantilever beam, a sensor and a piezoelectric actuator is studied.The state space model of the piezoelectric intelligent beam system is established by using the piezoelectric equation, the active control of the vibration of the intelligent beam is carried out by using the linear quadratic optimal control (LQR), through the deeply study of selection of weighting matrix in the two performance index, a weighting matrix selection method was finally proposed based on multiple population genetic algorithm.The simulations and experiments′ results show that the multiple population genetic algorithm has faster convergence speed and less hereditary algebra than the simple genetic algorithm, and can avoid falling into local optimal solution effectively, besides, LQR active vibration control algorithm based on multiple group genetic algorithm is feasible and stable for active vibration control of piezoelectric intelligent beam, which can achieve stability faster and has better control effect than the simple genetic algorithm-based LQR active vibration control algorithm.%根据压电智能结构的特点,针对一类由悬臂梁、传感器和压电作动器构成的压电智能梁系统的振动主动控制进行了研究.利用压电方程建立了压电智能梁系统的状态空间模型,采用线性二次最优控制(LQR)对智能梁的振动进行了主动控制.对二次性能指标中的加权矩阵的选取方式进行了深入研究,提出了一种基于多种群遗传算法的加权矩阵选取方式.仿真和实验结果表明:多种群遗传算法比简单遗传算法具有更快的收敛速度,且遗传代数少,能够有效避免陷入局部最优解.基于多种群遗传算法的LQR振动主动控制算法对压电智能梁的振动主动控制具有可行性和稳定性,相对基于简单遗传算法的LQR振动主动控制算法达到稳定的时间短且具有更好的控制效果.
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