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应用科学学报 ›› 1983, Vol. 1 ›› Issue (2): 111-120.

• 论文 • 上一篇    下一篇

多项式输入无稳态输出误差时的最优简化模型

张钟俊, 白尔维, 杨培庆   

  1. 上海交通大学
  • 收稿日期:1982-09-01 出版日期:1983-06-30 发布日期:1983-06-30

OPTIMAL REDUCED MODEL WITHOUT STEADY-STATE OUTPUT ERROR SUBJECT TO POLYNOMIAL INPUTS

ZHANG ZHONGJUN, BAI ERWEI, YANG PEIQING   

  1. Shanghai Jiao Tong University
  • Received:1982-09-01 Online:1983-06-30 Published:1983-06-30

PDF

94

被引次数

13

摘要： 本文研究了高阶线性系统的一类最优简化模型.这类简化模型在脉冲输入时,其输出同原系统输出之间的误差按平方加权积分意义达到最小值,并且在幂函数和多项式输入时,其输出同原系统输出之间无稳态误差.本文推导了这类最优简化模型的必要条件,给出了单输入-多输出系统最优简化模型的数值例子和计算结果,并且同其他作者的最优简化模型作了比较.最后,本文还对多输入-多输出系统的最优简化模型给出了算法.

Abstract: A new reduced model for high-order systems is investigated in this paper.
It is shown that such model is optimal for matched outputs in the sense of integral-square-error criterion subject to an Impulse input and also without steady-state output error for polynomial inputs. The necessary condition of the problem and its algorithm are derired. An example for a SIMO system is calculated and compared with that obtained by Wilson's method. Extension, of reduced model to MIMO systems is formulated.