Robust Stabilization Control Based on Guardian Maps Theory for a Longitudinal Model of Hypersonic Vehicle

A typical model of hypersonic vehicle has the complicated dynamics such as the unstable states, the nonminimum phases, and the strong coupling input-output relations. As a result, designing a robust stabilization controller is essential to implement the anticipated tasks. This paper presents a robus...

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Main Authors: Yanbin Liu, Mengying Liu, Peihua Sun
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/270172
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author Yanbin Liu
Mengying Liu
Peihua Sun
author_facet Yanbin Liu
Mengying Liu
Peihua Sun
author_sort Yanbin Liu
collection DOAJ
description A typical model of hypersonic vehicle has the complicated dynamics such as the unstable states, the nonminimum phases, and the strong coupling input-output relations. As a result, designing a robust stabilization controller is essential to implement the anticipated tasks. This paper presents a robust stabilization controller based on the guardian maps theory for hypersonic vehicle. First, the guardian maps theories are provided to explain the constraint relations between the open subsets of complex plane and the eigenvalues of the state matrix of closed-loop control system. Then, a general control structure in relation to the guardian maps theories is proposed to achieve the respected design demands. Furthermore, the robust stabilization control law depending on the given general control structure is designed for the longitudinal model of hypersonic vehicle. Finally, a simulation example is provided to verify the effectiveness of the proposed methods.
format Article
id doaj-art-edcdf591f0e14d799bb071165d7aacea
institution Kabale University
issn 2356-6140
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language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series The Scientific World Journal
spelling doaj-art-edcdf591f0e14d799bb071165d7aacea2025-02-03T05:58:15ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/270172270172Robust Stabilization Control Based on Guardian Maps Theory for a Longitudinal Model of Hypersonic VehicleYanbin Liu0Mengying Liu1Peihua Sun2College of Astronautics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaCollege of Astronautics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaCollege of Astronautics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaA typical model of hypersonic vehicle has the complicated dynamics such as the unstable states, the nonminimum phases, and the strong coupling input-output relations. As a result, designing a robust stabilization controller is essential to implement the anticipated tasks. This paper presents a robust stabilization controller based on the guardian maps theory for hypersonic vehicle. First, the guardian maps theories are provided to explain the constraint relations between the open subsets of complex plane and the eigenvalues of the state matrix of closed-loop control system. Then, a general control structure in relation to the guardian maps theories is proposed to achieve the respected design demands. Furthermore, the robust stabilization control law depending on the given general control structure is designed for the longitudinal model of hypersonic vehicle. Finally, a simulation example is provided to verify the effectiveness of the proposed methods.http://dx.doi.org/10.1155/2014/270172
spellingShingle Yanbin Liu
Mengying Liu
Peihua Sun
Robust Stabilization Control Based on Guardian Maps Theory for a Longitudinal Model of Hypersonic Vehicle
The Scientific World Journal
title Robust Stabilization Control Based on Guardian Maps Theory for a Longitudinal Model of Hypersonic Vehicle
title_full Robust Stabilization Control Based on Guardian Maps Theory for a Longitudinal Model of Hypersonic Vehicle
title_fullStr Robust Stabilization Control Based on Guardian Maps Theory for a Longitudinal Model of Hypersonic Vehicle
title_full_unstemmed Robust Stabilization Control Based on Guardian Maps Theory for a Longitudinal Model of Hypersonic Vehicle
title_short Robust Stabilization Control Based on Guardian Maps Theory for a Longitudinal Model of Hypersonic Vehicle
title_sort robust stabilization control based on guardian maps theory for a longitudinal model of hypersonic vehicle
url http://dx.doi.org/10.1155/2014/270172
work_keys_str_mv AT yanbinliu robuststabilizationcontrolbasedonguardianmapstheoryforalongitudinalmodelofhypersonicvehicle
AT mengyingliu robuststabilizationcontrolbasedonguardianmapstheoryforalongitudinalmodelofhypersonicvehicle
AT peihuasun robuststabilizationcontrolbasedonguardianmapstheoryforalongitudinalmodelofhypersonicvehicle