磁悬浮轴承转子自适应模糊滑模控制研究

The Control of Nonlinear Magnetic Bearing Rotor Based on Fuzzy Adaptive Sliding Mode

针对磁悬浮轴承转子的电磁力非线性且易受干扰影响等问题,提出了自适应模糊滑模控制方案。非线性电磁力及干扰部分看作系统的不确定部分,并采用模糊逻辑系统以任意精度进行逼近;趋近律设计部分消除了抖振的影响,并通过Lyapunov理论证明了该控制方案的稳定性。Simulink仿真结果表明,该方法不依赖被控对象的精确数学模型,当系统结构参数发生变化时,磁悬浮转子仍能稳定在安全范围内,稳态误差达到0.22μm。

An adaptive fuzzy sliding mode control scheme is proposed to deal with the serious magnetic force’s non-linearity and interference for the magnetic suspension bearing system.The non-linear electromagnetic force and disturbance are regarded as the uncertain parts,which is approximated by the fuzzy logic with arbitrary precision.Theoretically the approach law design partially eliminates the effect of buffeting,and the stability of the system is proved by Lyapunov theory.Simulation results show that this method did not rely on the precise mathematical model.When the structural parameters changed,the magnetic levitation rotor could still stabilize near the equilibrium point within the safe range,and the steady state error reached 0.22μm.