Nonlinear Adaptive Equivalent Control Based on Interconnection Subsystems for Air-Breathing Hypersonic Vehicles

For the nonminimum phase behavior of the air-breathing hypersonic vehicle model caused by elevator-to-lift coupling, a nonlinear adaptive equivalent control method based on interconnection subsystems is proposed. In the altitude loop, the backstepping strategy is applied, where the virtual control i...

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Main Authors: Chaofang Hu, Yanwen Liu
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/560785
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author Chaofang Hu
Yanwen Liu
author_facet Chaofang Hu
Yanwen Liu
author_sort Chaofang Hu
collection DOAJ
description For the nonminimum phase behavior of the air-breathing hypersonic vehicle model caused by elevator-to-lift coupling, a nonlinear adaptive equivalent control method based on interconnection subsystems is proposed. In the altitude loop, the backstepping strategy is applied, where the virtual control inputs about flight-path angle and attack angle are designed step by step. In order to avoid the inaccurately direct cancelation of elevator-to-lift coupling when aerodynamic parameters are uncertain, the real control inputs, that is, elevator deflection and canard deflection, are linearly converted into the equivalent control inputs which are designed independently. The reformulation of the altitude-flight-path angle dynamics and the attack angle-pitch rate dynamics is constructed into interconnection subsystems with input-to-state stability via small-gain theorem. For the velocity loop, the dynamic inversion controller is designed. The adaptive approach is used to identify the uncertain aerodynamic parameters. Simulation of the flexible hypersonic vehicle demonstrates effectiveness of the proposed method.
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publishDate 2013-01-01
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spelling doaj-art-c9e542078e2e4610b243317ff9dfb4842025-02-03T01:00:36ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/560785560785Nonlinear Adaptive Equivalent Control Based on Interconnection Subsystems for Air-Breathing Hypersonic VehiclesChaofang Hu0Yanwen Liu1School of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, ChinaSchool of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, ChinaFor the nonminimum phase behavior of the air-breathing hypersonic vehicle model caused by elevator-to-lift coupling, a nonlinear adaptive equivalent control method based on interconnection subsystems is proposed. In the altitude loop, the backstepping strategy is applied, where the virtual control inputs about flight-path angle and attack angle are designed step by step. In order to avoid the inaccurately direct cancelation of elevator-to-lift coupling when aerodynamic parameters are uncertain, the real control inputs, that is, elevator deflection and canard deflection, are linearly converted into the equivalent control inputs which are designed independently. The reformulation of the altitude-flight-path angle dynamics and the attack angle-pitch rate dynamics is constructed into interconnection subsystems with input-to-state stability via small-gain theorem. For the velocity loop, the dynamic inversion controller is designed. The adaptive approach is used to identify the uncertain aerodynamic parameters. Simulation of the flexible hypersonic vehicle demonstrates effectiveness of the proposed method.http://dx.doi.org/10.1155/2013/560785
spellingShingle Chaofang Hu
Yanwen Liu
Nonlinear Adaptive Equivalent Control Based on Interconnection Subsystems for Air-Breathing Hypersonic Vehicles
Journal of Applied Mathematics
title Nonlinear Adaptive Equivalent Control Based on Interconnection Subsystems for Air-Breathing Hypersonic Vehicles
title_full Nonlinear Adaptive Equivalent Control Based on Interconnection Subsystems for Air-Breathing Hypersonic Vehicles
title_fullStr Nonlinear Adaptive Equivalent Control Based on Interconnection Subsystems for Air-Breathing Hypersonic Vehicles
title_full_unstemmed Nonlinear Adaptive Equivalent Control Based on Interconnection Subsystems for Air-Breathing Hypersonic Vehicles
title_short Nonlinear Adaptive Equivalent Control Based on Interconnection Subsystems for Air-Breathing Hypersonic Vehicles
title_sort nonlinear adaptive equivalent control based on interconnection subsystems for air breathing hypersonic vehicles
url http://dx.doi.org/10.1155/2013/560785
work_keys_str_mv AT chaofanghu nonlinearadaptiveequivalentcontrolbasedoninterconnectionsubsystemsforairbreathinghypersonicvehicles
AT yanwenliu nonlinearadaptiveequivalentcontrolbasedoninterconnectionsubsystemsforairbreathinghypersonicvehicles