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

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...

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Main Authors: Xinhua Zheng, Lili Xie, Lizhuo Liu
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Journal of Control Science and Engineering
Online Access:http://dx.doi.org/10.1155/2015/871621
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author Xinhua Zheng
Lili Xie
Lizhuo Liu
author_facet Xinhua Zheng
Lili Xie
Lizhuo Liu
author_sort Xinhua Zheng
collection DOAJ
description 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.
format Article
id doaj-art-f525a7fc5c934c06b4d051ba90d3952b
institution Kabale University
issn 1687-5249
1687-5257
language English
publishDate 2015-01-01
publisher Wiley
record_format Article
series Journal of Control Science and Engineering
spelling doaj-art-f525a7fc5c934c06b4d051ba90d3952b2025-02-03T01:30:45ZengWileyJournal of Control Science and Engineering1687-52491687-52572015-01-01201510.1155/2015/871621871621Stability Analysis of Pneumatic Cabin Pressure Regulating System with Complex Nonlinear CharacteristicsXinhua Zheng0Lili Xie1Lizhuo Liu2School of Automation, Northwestern Polytechnical University, Xi’an 710129, ChinaSchool of Automation, Northwestern Polytechnical University, Xi’an 710129, ChinaSchool of Automation, Northwestern Polytechnical University, Xi’an 710129, ChinaStability 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.http://dx.doi.org/10.1155/2015/871621
spellingShingle Xinhua Zheng
Lili Xie
Lizhuo Liu
Stability Analysis of Pneumatic Cabin Pressure Regulating System with Complex Nonlinear Characteristics
Journal of Control Science and Engineering
title Stability Analysis of Pneumatic Cabin Pressure Regulating System with Complex Nonlinear Characteristics
title_full Stability Analysis of Pneumatic Cabin Pressure Regulating System with Complex Nonlinear Characteristics
title_fullStr Stability Analysis of Pneumatic Cabin Pressure Regulating System with Complex Nonlinear Characteristics
title_full_unstemmed Stability Analysis of Pneumatic Cabin Pressure Regulating System with Complex Nonlinear Characteristics
title_short Stability Analysis of Pneumatic Cabin Pressure Regulating System with Complex Nonlinear Characteristics
title_sort stability analysis of pneumatic cabin pressure regulating system with complex nonlinear characteristics
url http://dx.doi.org/10.1155/2015/871621
work_keys_str_mv AT xinhuazheng stabilityanalysisofpneumaticcabinpressureregulatingsystemwithcomplexnonlinearcharacteristics
AT lilixie stabilityanalysisofpneumaticcabinpressureregulatingsystemwithcomplexnonlinearcharacteristics
AT lizhuoliu stabilityanalysisofpneumaticcabinpressureregulatingsystemwithcomplexnonlinearcharacteristics