针对永磁同步伺服系统中的速度控制问题,首先运用微分几何方法将永磁同步电动机的非线性数学模型转化成了线性模型,并针对该线性模型选择合适的性能指标函数,采用混合H2/H∞控制方法在保证系统稳定的同时有效地抑制了系统运行中存在的外部扰动。仿真结果表明:该系统设计方案具有速度响应快,稳、动态性能好,并且对负载等外部扰动鲁棒性强的特点,控制参数简单,易于工程实现。
Aimed to the speed control problem of permanent magnet synchronous servo system, firstly, nonlinear model of permanent magnet synchronous servo system was converted into linear model whose suitable performance index function of the was selected, using differential geometric method. And then the external disturbance existing in system operation was effectively suppressed while the system stability was maintained by using of the mixed H2/H∞ control method. Simulation resuits illustrate that the system design method has many advantages such as high speed in response, good dynamic performance and steady state performance, and has strong robustness to external disturbances such as load. The engineering realization of this method is easily reached because of simple control parameters.