摘要:
本文利用"最小响应法"[1,2]给出了N≥2阶无静差采样控制系统的设计公式.作者指
出:对于某类闭环控制系统,在给定阶跃响应最大超调量σmax的条件下,可以找出最佳比值
T/T3э(T为系统的采样周期，T3э为对象的不便克服的等效小时间常数之和)，使系统获得相
应阶最大误差系数KN+1，从而可使系统达到快速精密的控制指标.为了在工程设计中应用方
便,文中还给出了二至六阶无静差的σmax,T/T3э,KN+1TN3э最佳参数组,使得这类闭环控制系
统的设计最佳化和简易化.
Abstract:
In this paper, by using "the fastest response method", A formula for the design
of N≥2 order astatic sampled data control system is proposed. It was shown that for
a class of closed loop control systems with a given maximum step response overshoot
σmax, the optimum ratio T/T3э (T is the sample period, T3э is the equivalent time
constant of the controlled object) could be found, and thus the error coefficient KN+1 of
corresponding order systems could be obtained with the result of achieving a fast and
accurate system. Moreover, a list of ,optimum parameters σ max T/T3э , KN+1, TN3э had
been included to make the optimal design of the closed loop control system easier.
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