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A modification and the Tustin approximation

机译:修改和Tustin近似

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The Tustin approximation for determining a discrete-time representation of a continuous-time control system is sufficiently precise. If a sampling interval is chosen properly, it results in some errors in time responses of a plant model, though they are not critical and the static gain value is the same as in the original transfer function. However, this method generally increases the number of coefficients in the numerator of the approximate discrete-time transfer function by one in comparison with the exact transformation. A simple modification of the Tustin approximation that does not have this disadvantage and is far more precise than the original approximation is presented. The additional numerical effort is negligible. Examples of the transformation for three simple continuous systems are presented.
机译:用于确定连续时间控制系统的离散时间表示的Tustin逼近足够精确。如果正确选择了采样间隔,则虽然它们不是很关键,并且静态增益值与原始传递函数中的相同,但会导致工厂模型的时间响应出现一些误差。但是,与精确变换相比,该方法通常使近似离散时间传递函数的分子中的系数数目增加一。提出了没有这种缺点并且比原始近似精确得多的Tustin近似的简单修改。额外的数值工作可以忽略不计。给出了三个简单连续系统的转换示例。

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