An optimal PID controller via LQR for standard second order plus time delay systems

被引：49

作者：

Srivastava, Saurabh ^{[1
]}

Misra, Anuraag ^{[1
]}

Thakur, S. K. ^{[1
]}

Pandit, V. S. ^{[1
]}

机构：

[1] Ctr Variable Energy Cyclotron, 1 AF Bidhan Nagar, Kolkata 700064, India

来源：

ISA TRANSACTIONS | 2016年 / 60卷

关键词：

Linear system; PID controller; System matrix; Linear Quadratic Regulator (LQR); Time delay; Closed-loop; POLE-PLACEMENT; STABILIZATION;

D O I：

10.1016/j.isatra.2015.11.020

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

An improved tuning methodology of PID controller for standard second order plus time delay systems (SOPTD) is developed using the approach of Linear Quadratic Regulator (LQR) and pole placement technique to obtain the desired performance measures. The pole placement method together with LQR is ingeniously used for SOPTD systems where the time delay part is handled in the controller output equation instead of characteristic equation. The effectiveness of the proposed methodology has been demonstrated via simulation of stable open loop oscillatory, over damped, critical damped and unstable open loop systems. Results show improved closed loop time response over the existing LQR based PI/PID tuning methods with less control effort. The effect of non-dominant pole on the stability and robustness of the controller has also been discussed. (C) 2015 ISA. Published by Elsevier Ltd. All rights reserved.

引用

页码：244 / 253

页数：10

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