无刷直流电机控制系统的逐次逼近最优控制

The Successive Approximate Optimal Control of Brushless DC Motor System

通过建立直流电机的数学模型,构造其解收敛于原系统的系统序列,将系统的最优控制问题转化为由精确线性项和非线性补偿项组成的两点边值问题族,并利用前馈——反馈最优控制律的逐次逼近算法来完成控制系统的分析和设计,使直流电机系统稳定工作。通过Matlab对直流电机的工作进行仿真,仿真结果表明,此设计方法可使系统稳定工作并具有良好的动态性能。

The mathematical model of BLDCM system is built to construct the sequence whose solution is convergent to the original system. The optimal control problem is transformed into two -point boundary value problem that consists of accurate linear items and nonlinear compensated items. Successive approximate algorithm of forefeed -feedback optimal control law is used to analyze and design the control system so as to make the inverted pendulum system work stably. Then computer simulation for the movement of inverted pendulum is made by using the MAT LAB software. The result of simulation shows that this method can make the system work stably and have good dynamic and static qualities. Therefore, it is effective.