Self-tuning PID controller using Newton-Raphson search method

Author

Rad, A. Besharati ; Lo, Wai Lun ; Tsang, K.M.

Author_Institution

Dept. of Electr. Eng., Hong Kong Polytech. Univ., Kowloon, Hong Kong

Volume

44

Issue

5

fYear

1997

fDate

10/1/1997 12:00:00 AM

Firstpage

717

Lastpage

725

Abstract

A new algorithm for self tuning of proportional-integral-derivative (PID) controllers is proposed. A combined least-squares estimation and Newton-Raphson search technique is used to determine the ultimate gain and period of an unknown system for the purpose of automatic tuning of PID controllers based on Ziegler and Nichols (ZN) or refined Ziegler and Nichols (RZN) formulas. The proposed algorithm can be applied to systems with known time delay, as well as those with unknown dead time. Simulation studies are used to demonstrate the performance of this algorithm. The performance of this PID self tuner is also compared with a popular commercial auto-tuner for simulated systems and a laboratory-scale real plant

Keywords

Newton-Raphson method; control system synthesis; controllers; flow control; least squares approximations; self-adjusting systems; three-term control; Newton-Raphson search method; Ziegler and Nichols formulas; combined least-squares estimation; delay estimation; parameter estimation; proportional-integral-derivative controller; refined Ziegler and Nichols formulas; self-tuning PID controller; water flow control; Automatic control; Control systems; Delay effects; Pi control; Proportional control; Search methods; Three-term control; Tuners; Tuning; Zinc;

fLanguage

English

Journal_Title

Industrial Electronics, IEEE Transactions on

Publisher

ieee

ISSN

0278-0046

Type

jour

DOI

10.1109/41.633479

Filename

633479