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Journal of Control Science and Engineering
Volume 2015 (2015), Article ID 871621, 8 pages
http://dx.doi.org/10.1155/2015/871621
Research Article

Stability Analysis of Pneumatic Cabin Pressure Regulating System with Complex Nonlinear Characteristics

School of Automation, Northwestern Polytechnical University, Xi’an 710129, China

Received 26 October 2014; Accepted 11 February 2015

Academic Editor: Petko Petkov

Copyright © 2015 Xinhua Zheng 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.

Abstract

Stability of pneumatic cabin pressure regulating system with complex nonlinear characteristics is considered. The mathematical model of each component is obtained and given in detail. The governing equations of the considered system consist of 8 differential equations. In the circumstance, commonly used methods of nonlinear system analysis are not applicable. Therefore a new method is proposed to construct phase plane trajectories numerically. The calculation steps are given in detail. And convergence region of numerical calculation and limits on step size is defined. The method is applied constructing phase plane trajectories for considered cabin pressure regulating system. Phase plane analysis shows that there exists a limit cycle, which is responsible for pressure pulsating in aircraft cabin. After parameters adjustment, excellent stability characteristics are acquired. And the validity of this method is confirmed by the simulation.