采用降阶模型设计高阶控制系统

Design of High Order Control Systems by Reduced Model

  • 摘要: 本文研究如何利用降阶模型为高阶控制系统作出次优设计.提出一种新的工程设计法——降价2阶系统次优设计法,方法分三步:①采用逼近精度较高的降阶法把高阶开环传递函数降阶,降为2阶(或3阶);②采用2阶系统最优设计,以满足给定的设计要求(超调量、超调点时间或调节时间、稳态误差);③利用一维数字直接搜索与连续系统数字仿真程序(FORTRAN语言),在计算机终端上修改虚设阻尼比ζ,寻求最优的ζopt,以弥补降阶模型所带来的误差,从而确定校正网络.给出数字实例并与现有的成果作了比较.

     

    Abstract: The aim of this paper is to investigate how the suboptimal design of high order control systems can be achieved by the reduced model.A novel engineering design method—Reduced second-order system suboptimal design method is proposed.This method can be separated into three steps:1.using the higher accuracy reduced method to simplify the transfer function of the high order systems,reducing to second-order(or third-order);2.making use of second-order systems optimal design method to satisfy the given requirements of design(percent overshcot,overshoot point time or settling time,stead-state errors);3.ultilizing one dimensional search method and continuous systems digital simulation program(in FORTRAN programming language)to modify the pseudo-damping factor ζ at the terminal of computer,to find the optimal one ζopt,and to modify the errors produced by the reduced model.Thus,the compensation networks are determined.Several numerical examples are presented.Certain results obtained by this novel method are studied and compared with the existing achivements.

     

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