Limit Cycle Analysis of PID Controller Design

Bing-Fei Wu*, Jau Woei Perng

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

4 Scopus citations


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 languageAmerican English
Pages (from-to)2424-2429
Number of pages6
JournalProceedings of the American Control Conference
StatePublished - 6 Nov 2003
Event2003 American Control Conference - Denver, CO, United States
Duration: 4 Jun 20036 Jun 2003


Dive into the research topics of 'Limit Cycle Analysis of PID Controller Design'. Together they form a unique fingerprint.

Cite this