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经典控制理论中绘制闭环频率响应曲线,一般的方法是,先绘制其开环频率响应曲线,再叠合到等幅值轨迹和等相角轨迹后才能得出。这样做,手续繁琐,工作量大,精度低。本文推导出用闭环传递函数的特征系数直接计算闭环频率响应的简捷公式。用这个公式可以用较普通的BASIC语言上计算机算,也可用函数型袖珍计算器程序操作,甚至手算,都很方便,精确。这个公式也可用开环传递函数的特征系数计算开环频率响应。
Classical control theory to draw the closed-loop frequency response curve, the general method is to draw the first open-loop frequency response curve, and then superimposed to equal amplitude trajectory and contour phase trajectory can be drawn. In doing so, the procedures are cumbersome, heavy workload and low accuracy. In this paper, a simple and straightforward formula for calculating closed-loop frequency response using the characteristic coefficients of the closed-loop transfer function is deduced. With this formula you can use the more common BASIC language on the computer count, you can also use the function Pocket calculator program operation, or even the hands, are very convenient and accurate. This formula also calculates the open-loop frequency response using the characteristic coefficients of the open-loop transfer function.