多项式输入无稳态输出误差时的最优简化模型

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.

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

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.