摘要
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 con- trol. Linear quadratic optimal control algorithm （LQR）, has been widely used in vibration control. LQR control- ler＇ 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） over- comes the precocious situation of the traditional particle swarm optimization, and it can achieve the local and global optimum balance. Based on the SAWPSO, and SAWPSO-LQR controller is designed, LQR weight matrix self-turn- ing 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 ba- sis is also a certain influence, but not a decisive role. The study presented provides a new idea for precision equip- ment micro vibration and optimal LQR vibration control.
出处
《科学技术与工程》
北大核心
2014年第21期89-93,103,共6页
Science Technology and Engineering
基金
国家自然科学基金(51078123
51179043)资助
