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Journal of Control Science and Engineering
Volume 2011 (2011), Article ID 671703, 5 pages
Research Article

Relay Feedback Analysis for Double Integral Plants

1Department of Electrical and Computer Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260
2Institute of Complexity Science College of Automation Engineering, Qingdao University, Qingdao 266071, China
3Faculty of Mathematics and Mechanics, St. Petersburg State University, Universitetskij pr. 28, Petrodvoretz, St. Petersburg 198504, Russia

Received 18 October 2010; Revised 10 January 2011; Accepted 21 February 2011

Academic Editor: Bijoy K. Ghosh

Copyright © 2011 Zhen Ye et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Double integral plants under relay feedback are studied. Complete results on the uniqueness of solutions, existence, and stability of the limit cycles are established using the point transformation method. Analytical expressions are also given for determining the amplitude and period of a limit cycle from the plant parameters.