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为了设计磁悬浮系统的单磁体控制器,必须建立系统的状态空间模型。分析了磁悬浮系统的工作原理,结合经典动力学和电磁学基本理论,利用Lagrange方程的一般形式导出系统的非线性运动方程,并通过在工作点附近的线性化处理,得到系统数学模型的状态空间描述。仿真结果表明,所提出的系统模型是可行且有效的。
In order to design a single magnet controller for a maglev system, a state space model of the system must be established. The working principle of the magnetic levitation system is analyzed. Based on the classical dynamics and electromagnetism basic theory, the nonlinear equations of motion of the system are deduced by the general form of Lagrange equation. The state space of the mathematical model is obtained by the linearization process near the working point description. Simulation results show that the proposed system model is feasible and effective.