A simple method of tuning series cascade controllers for unstable systems

被引：13

作者：

Santosh S. ^{[1
]}

Chidambaram M. ^{[1
]}

机构：

[1] Department of Chemical Engineering, Indian Institute of Technology Madras, Chennai

来源：

Journal of Control Theory and Applications | 2013年 / 11卷 / 04期

关键词：

Cascade control; FOPTD model; P controller; PI controller; Time-delay process; Tuning;

D O I：

10.1007/s11768-013-2254-0

中图分类号：

学科分类号：

摘要：

A simple method is proposed to design P/PI controllers for a series cascade control system for unstable first order plus time-delay (FOPTD) systems. In this paper, the controller design for unstable FOPTD systems cascaded in series with stable/unstable FOPTD systems is considered. The proposed method is based on equating the coefficients of corresponding powers of s and s2 in the numerator to α1 and α2 times those of the denominator of the closed-loop transfer function for a servo problem. The open loop system consists of an unstable FOPTD system cascaded in series with a stable/unstable FOPTD system. Only two tuning parameters (α1 and α2) are required for the design of controllers. The closed-loop performances are evaluated for both the servo and regulatory problems and the performances are found to be better than that of the well established synthesis method. The robustness for uncertainty in the model parameters is studied and compared with that of the controllers designed by the synthesis method. © 2013 South China University of Technology, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.

引用

页码：661 / 667

页数：6

共 15 条

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