最佳有理逼近微积分等价传递的线性控制理论及应用

Study of Linear Control Theory and Application With Equivalent Passing Function of Best Rational Approximation Calculus

提出最佳有理逼近微积分等价传递的线性控制理论及应用,采用分数阶微积分的思想,在数据域进行控制曲线离散化后的微分处理和积分处理,很好地表征控制曲线的特性,在此基础上,实现精确的曲线有理逼近;采用一组曲线进行有理逼近实验,结果显示,新方法可以在很高的精度下,实现线性控制曲线的有理逼近,可以被很好地应用到工业控制中。

the idea of fractional calculus in data domain to achieve discrete differential treatment of control curve and post-integration process was used, with which, the characteristics of the control curve was showed well, on this basis, the precise curve rational approximation was achieved. A set of rational approximation curve was taken to do the test experiment, and the result shows that with this method, the linear control curve rational approximation is realized in high accuracy, so it can be applied in industrial control very well.