PI/PID controller tuning via LQR approach

Jian Bo He; Qing Guo Wang; Tong Heng Lee

doi:10.1016/S0009-2509(99)00512-6

PI/PID controller tuning via LQR approach

Jian Bo He, Qing Guo Wang, Tong Heng Lee

Research output: Contribution to journal › Article › peer-review

143 Citations (Scopus)

Abstract

This paper presents a new optimal PI/PID controller tuning algorithms for low-order plus time-delay processes via LQR approach. A new criterion for selection of the Q and R matrices is proposed which will lead to the desired natural frequency and damping ratio of the closed-loop system. The examples with various dynamics are included to demonstrate the effectiveness of the tuning algorithms and show significant improvement over the existing PID tuning methods. The robustness property of the tuning algorithms is also analyzed, and it is shown that the LQR system is robustly stable for the small modeling error. (C) 2000 Elsevier Science Ltd. All rights reserved.

Original language	English
Pages (from-to)	2429-2439
Number of pages	11
Journal	Chemical Engineering Science
Volume	55
Issue number	13
DOIs	https://doi.org/10.1016/S0009-2509(99)00512-6
Publication status	Published - Jul 2000
Externally published	Yes

Keywords

Closed-loop
LQR
PI/PID controller
Tuning algorithms

ASJC Scopus subject areas

General Chemistry
General Chemical Engineering
Industrial and Manufacturing Engineering

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10.1016/S0009-2509(99)00512-6

Cite this

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title = "PI/PID controller tuning via LQR approach",

abstract = "This paper presents a new optimal PI/PID controller tuning algorithms for low-order plus time-delay processes via LQR approach. A new criterion for selection of the Q and R matrices is proposed which will lead to the desired natural frequency and damping ratio of the closed-loop system. The examples with various dynamics are included to demonstrate the effectiveness of the tuning algorithms and show significant improvement over the existing PID tuning methods. The robustness property of the tuning algorithms is also analyzed, and it is shown that the LQR system is robustly stable for the small modeling error. (C) 2000 Elsevier Science Ltd. All rights reserved.",

keywords = "Closed-loop, LQR, PI/PID controller, Tuning algorithms",

author = "He, {Jian Bo} and Wang, {Qing Guo} and Lee, {Tong Heng}",

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AU - He, Jian Bo

AU - Wang, Qing Guo

AU - Lee, Tong Heng

PY - 2000/7

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N2 - This paper presents a new optimal PI/PID controller tuning algorithms for low-order plus time-delay processes via LQR approach. A new criterion for selection of the Q and R matrices is proposed which will lead to the desired natural frequency and damping ratio of the closed-loop system. The examples with various dynamics are included to demonstrate the effectiveness of the tuning algorithms and show significant improvement over the existing PID tuning methods. The robustness property of the tuning algorithms is also analyzed, and it is shown that the LQR system is robustly stable for the small modeling error. (C) 2000 Elsevier Science Ltd. All rights reserved.

AB - This paper presents a new optimal PI/PID controller tuning algorithms for low-order plus time-delay processes via LQR approach. A new criterion for selection of the Q and R matrices is proposed which will lead to the desired natural frequency and damping ratio of the closed-loop system. The examples with various dynamics are included to demonstrate the effectiveness of the tuning algorithms and show significant improvement over the existing PID tuning methods. The robustness property of the tuning algorithms is also analyzed, and it is shown that the LQR system is robustly stable for the small modeling error. (C) 2000 Elsevier Science Ltd. All rights reserved.

KW - Closed-loop

KW - LQR

KW - PI/PID controller

KW - Tuning algorithms

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SN - 0009-2509

VL - 55

SP - 2429

EP - 2439

JO - Chemical Engineering Science

JF - Chemical Engineering Science

IS - 13

ER -

PI/PID controller tuning via LQR approach

Abstract

Keywords

ASJC Scopus subject areas

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