磁轴承—转子系统的离散模糊自适应滑模控制

Research on Discrete Fuzzy Self-adaptation Sliding Mode Control of Magnetic Bearing

针对磁悬浮反作用飞轮工程化的需要,提出了一种磁轴承—转子系统的离散滑模控制方法,用于处理系统中不平衡量和非线性干扰,实现了该系统的高精度鲁棒控制。针对滑模控制方法存在抖振大的问题,采用模糊控制器输出的绝对值作为滑模控制器的增益,实现了增益的自适应调节,大大减弱了抖振。设计了离散非线性跟踪微分器用于合理提取微分,代替实际速度信号实现全状态反馈。仿真结果表明,该控制系统的不平衡量和非线性干扰得到有效抑制,控制电流较小,抖振控制在精度范围之内,位移在短时间内收敛到零,从而转子绕惯性主轴旋转,实现了自动平衡。

Aiming at the requirement of magnetically suspended reaction flywheel, a kind of discrete sliding mode control method of magnetic bearing rotor system, which deals with unbalance and nonlinear disturbances in order to realize the system＇s high-precision robust control, is presented. For the sliding control method exists larger chattering, fuzzy selfadaptation sliding mode control scheme is adopted. Taking the absolute value of fuzzy controller output as sliding mode controller gain, it realizes gain adaptive regulation and reduces chattering greatly. Moreover, nonlinear trackingdifferentiator is constructed in order to produce a differential signal, which substitutes velocity signal to realize total-state feedback. The simulation results show that unbalance and nonlinear disturbances of the control system are suppressed effectively, control current is smaller, chattering is within the control precision and displacement is convergent to zero in short time. So the rotor can turn around principal axis of inertial and automatic balance can be realized.