Numerical Analyses and a Nonlinear Composite Controller for a Real-Time Ground Aerodynamic Heating Simulation of a Hypersonic Flying Object

This paper contains two parts: numerical analyses and a control method. The numerical analyses of a hypersonic flying object’s aerodynamic heating environment are based on three different two-dimensional outflow fields via finite element calculations. Then, the reference temperature trajectories of...

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Main Authors: Xiaodong Lv, Guangming Zhang, Gang Wang, Mingxiang Zhu, Zhihan Shi, Zhiqing Bai, Igor V. Alexandrov
Format: Article
Language:English
Published: MDPI AG 2022-08-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/16/3022
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author Xiaodong Lv
Guangming Zhang
Gang Wang
Mingxiang Zhu
Zhihan Shi
Zhiqing Bai
Igor V. Alexandrov
author_facet Xiaodong Lv
Guangming Zhang
Gang Wang
Mingxiang Zhu
Zhihan Shi
Zhiqing Bai
Igor V. Alexandrov
author_sort Xiaodong Lv
collection DOAJ
description This paper contains two parts: numerical analyses and a control method. The numerical analyses of a hypersonic flying object’s aerodynamic heating environment are based on three different two-dimensional outflow fields via finite element calculations. Then, the reference temperature trajectories of a hypersonic flying object are obtained. The other one is an intelligent proportional-derivative (IPD) with a nonlinear global sliding mode control (NGSMC) based on a nonlinear extended state observer (NESO) for a real-time ground aerodynamic heating simulation of a hypersonic flying object, named a thermal-structural test with quartz lamp heaters. The composite controller is made of three sub-components: a model free frame that is independent of the system dynamic model along with an ultra-local model; a NESO for the lumped disturbances observation; and an integral sliding mode control with a nonlinear function for the observation errors compensation. The flight environment of the hypersonic flying object is from Mach number 0.6 to Mach number 5.0, with between flight altitude of 31,272 m and flight altitude of 13,577 m. The comparative results demonstrate some superiorities of the proposed composite controller in terms of tracking errors and robustness.
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spelling doaj.art-c4695a299c6b473ea9bbfaede54d33c02023-11-30T21:55:38ZengMDPI AGMathematics2227-73902022-08-011016302210.3390/math10163022Numerical Analyses and a Nonlinear Composite Controller for a Real-Time Ground Aerodynamic Heating Simulation of a Hypersonic Flying ObjectXiaodong Lv0Guangming Zhang1Gang Wang2Mingxiang Zhu3Zhihan Shi4Zhiqing Bai5Igor V. Alexandrov6College of Electrical Engineering and Control Science, Nanjing Tech University, Nanjing 211899, ChinaCollege of Electrical Engineering and Control Science, Nanjing Tech University, Nanjing 211899, ChinaAerospace Science & Industry Corp. Defense Technology R&T Center, Beijing 100854, ChinaCollege of Electrical Engineering and Control Science, Nanjing Tech University, Nanjing 211899, ChinaCollege of Electrical Engineering and Control Science, Nanjing Tech University, Nanjing 211899, ChinaCollege of Electrical Engineering and Control Science, Nanjing Tech University, Nanjing 211899, ChinaInstitute of Physics of Advanced Materials, Ufa State Aviation Technical University, 12 K. Marx St., 450000 Ufa, RussiaThis paper contains two parts: numerical analyses and a control method. The numerical analyses of a hypersonic flying object’s aerodynamic heating environment are based on three different two-dimensional outflow fields via finite element calculations. Then, the reference temperature trajectories of a hypersonic flying object are obtained. The other one is an intelligent proportional-derivative (IPD) with a nonlinear global sliding mode control (NGSMC) based on a nonlinear extended state observer (NESO) for a real-time ground aerodynamic heating simulation of a hypersonic flying object, named a thermal-structural test with quartz lamp heaters. The composite controller is made of three sub-components: a model free frame that is independent of the system dynamic model along with an ultra-local model; a NESO for the lumped disturbances observation; and an integral sliding mode control with a nonlinear function for the observation errors compensation. The flight environment of the hypersonic flying object is from Mach number 0.6 to Mach number 5.0, with between flight altitude of 31,272 m and flight altitude of 13,577 m. The comparative results demonstrate some superiorities of the proposed composite controller in terms of tracking errors and robustness.https://www.mdpi.com/2227-7390/10/16/3022a hypersonic flying objecta real-time ground aerodynamic heating simulationthermal-structural testquartz lamp heatersmodel freenonlinear sliding mode control
spellingShingle Xiaodong Lv
Guangming Zhang
Gang Wang
Mingxiang Zhu
Zhihan Shi
Zhiqing Bai
Igor V. Alexandrov
Numerical Analyses and a Nonlinear Composite Controller for a Real-Time Ground Aerodynamic Heating Simulation of a Hypersonic Flying Object
Mathematics
a hypersonic flying object
a real-time ground aerodynamic heating simulation
thermal-structural test
quartz lamp heaters
model free
nonlinear sliding mode control
title Numerical Analyses and a Nonlinear Composite Controller for a Real-Time Ground Aerodynamic Heating Simulation of a Hypersonic Flying Object
title_full Numerical Analyses and a Nonlinear Composite Controller for a Real-Time Ground Aerodynamic Heating Simulation of a Hypersonic Flying Object
title_fullStr Numerical Analyses and a Nonlinear Composite Controller for a Real-Time Ground Aerodynamic Heating Simulation of a Hypersonic Flying Object
title_full_unstemmed Numerical Analyses and a Nonlinear Composite Controller for a Real-Time Ground Aerodynamic Heating Simulation of a Hypersonic Flying Object
title_short Numerical Analyses and a Nonlinear Composite Controller for a Real-Time Ground Aerodynamic Heating Simulation of a Hypersonic Flying Object
title_sort numerical analyses and a nonlinear composite controller for a real time ground aerodynamic heating simulation of a hypersonic flying object
topic a hypersonic flying object
a real-time ground aerodynamic heating simulation
thermal-structural test
quartz lamp heaters
model free
nonlinear sliding mode control
url https://www.mdpi.com/2227-7390/10/16/3022
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