根据经典时间绝对误差积分(ITAE)最优系统标准型,给出了ITAE最优时滞系统的期望模型;利用Maclaurin展开技术,讨论了ITAE次优时滞系统的设计方法,并就ITAE次优和最优的三阶系统进行了频域和时域比较.论文最后给出了基于ITAE次优时滞系统的PID和超前滞后补偿器设计实例.阶跃响应、负载扰动以及参数鲁棒性方面的比较研究表明,本文方法能够获得十分满意的性能指标.
A desired model of ITAE(integral time absolute error) optimal time-delay system is presented based on the canonical form of ITAE optimal system(ITAE-OS). By making use of Maclaurin expansion, a design method for ITAE suboptimal time-delay system(ITAE-STDS) is discussed. The comparison of the third order ITAE-STDS with ITAE-OS reveals their similar dynamic performance in frequency domain and time domain. Case studies in design of PID and the lead-lag compensator are given. Comparisons of step response, load rejection and parameter robustness show that the resulting systems have satisfactory performance by using the proposed method.