Limit Cycle Analysis of PID Controller Design

Bing-Fei Wu; Jau Woei Perng

doi:10.1109/ACC.2003.1243438

Limit Cycle Analysis of PID Controller Design

Bing-Fei Wu^*, Jau Woei Perng

^*Corresponding author for this work

Department of Electrical and Computer Engineering

Research output: Contribution to journal › Conference article › peer-review

4 Scopus citations

Abstract

The main purpose of this paper is to predict limit cycles of nonlinear PID control systems with adjustable parameters by the approaches of stability equation, describing function and parameter plane. First, nonlinear elements are linearized by the classical describing function method. The stability of equivalent linearized system with adjustable parameters is then analyzed by using the stability equations and the parameter plane method. According to our study, the characteristics of limit cycles with PID control design in current literature can be improved. Finally, this approach is also extended to a sampled-data control system with broken line nonlinearity.

Original language	American English
Pages (from-to)	2424-2429
Number of pages	6
Journal	Proceedings of the American Control Conference
Volume	3
DOIs	https://doi.org/10.1109/ACC.2003.1243438
State	Published - 2003
Event	2003 American Control Conference - Denver, CO, United States Duration: 4 Jun 2003 → 6 Jun 2003

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title = "Limit Cycle Analysis of PID Controller Design",

abstract = "The main purpose of this paper is to predict limit cycles of nonlinear PID control systems with adjustable parameters by the approaches of stability equation, describing function and parameter plane. First, nonlinear elements are linearized by the classical describing function method. The stability of equivalent linearized system with adjustable parameters is then analyzed by using the stability equations and the parameter plane method. According to our study, the characteristics of limit cycles with PID control design in current literature can be improved. Finally, this approach is also extended to a sampled-data control system with broken line nonlinearity.",

author = "Bing-Fei Wu and Perng, {Jau Woei}",

year = "2003",

doi = "10.1109/ACC.2003.1243438",

language = "American English",

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journal = "Proceedings of the American Control Conference",

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AB - The main purpose of this paper is to predict limit cycles of nonlinear PID control systems with adjustable parameters by the approaches of stability equation, describing function and parameter plane. First, nonlinear elements are linearized by the classical describing function method. The stability of equivalent linearized system with adjustable parameters is then analyzed by using the stability equations and the parameter plane method. According to our study, the characteristics of limit cycles with PID control design in current literature can be improved. Finally, this approach is also extended to a sampled-data control system with broken line nonlinearity.

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M3 - Conference article

AN - SCOPUS:0142153094

SN - 0743-1619

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JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

T2 - 2003 American Control Conference

Y2 - 4 June 2003 through 6 June 2003

ER -

Limit Cycle Analysis of PID Controller Design

Abstract

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