位移无静差ITAE最优传递函数的研究

Study of the Zero-Displacement-Error ITAE Optimum Transfer Function

位移无静差ITAE最优传递函数具有较好的平稳性和快速性,是一组适用于工程控制系统的最优参数。首先介绍了ITAE最优传递函数,然后研究了ITAE最优传递函数的极点分布、时域响应和频域响应,最后研究了ITAE最优传递函数的分母多项式系数与加权矩阵的关系。研究结果将大大促进ITAE最优传递函数的广泛应用,为进一步研究ITAE最优控制问题打下基础。

The ITAE optimum transfer functions, which have small overshoot and rapid response, are a set of optimum parameters for engineering control systems. Firstly ITAE optimum transfer functions are introduced. And then the poles distributing, step responses, Bode diagrams of ITAE optimum transfer functions are given respectively. Lastly the relation between the denomi- nator polynomial coefficients of ITAE optimum transfer function and weighting matrix is presented. The research results will drive ITAE optimum transfer function to wider applications and ground for further studying the ITAE optimum control.