高阶无静差采样控制系统的动态综合
Optimum Dynamic Synthesis of High Order Astatic Sampled-Data Control System
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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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