知识与财富的链接
精密设备的振动控制效果直接关系到其是否能够正常使用。线性二次型最优控制算法(LQR)已广泛应用于振动控制领域。关于LQR控制器权矩阵的确定问题一直备受关注,而传统的计算往往以假设或经验性取值为主,不科学且不能充分发挥控制器性能。自适应权重粒子群算法(SAWPSO)克服了传统粒子群算法寻优过程的早熟情况,能使PSO算法达到局部及全局最优的平衡。基于SAWPSO算法,设计了SAWPSO-LQR控制器,对精密设备微振动进行了LQR权值自整定的优化控制研究;并针对不同工况进行了对比仿真。数值结果表明,合理的隔振系统参数设置及权值搜索范围对于控制效果影响较大,在此基础上的适应值函数选取亦有一定影响;但并非决定作用。研究为精密设备微振动及最优LQR振动控制提供了新思路。
Whether the precision equipment function properly is closely related to the effect of vibration control. Linear quadratic optimal control algorithm (LQR), has been widely used in vibration control. LQR controller’s weight matrix is always concerned, the traditional method is based on assumptions or empirical values, it is unscientific and cannot give full play to the controller performance. Self-Adaptive Weight PSO (SAWPSO) overcomes the precocious situation of the traditional particle swarm optimization, and it can achieve the local and global optimum balance. This paper is based on the SAWPSO, and SAWPSO-LQR controller is designed, LQR weight matrix self-turnning optimization of precision equipment vibration control is studied. Numerical results show that rational isolation parameter and searching scope have a important impact on optimization effect, fitness function is selected on the basis is also a certain influence, but not a decisive role. The study presented provides a new idea for precision equipment micro vibration and optimal LQR vibration control.
