Nonlinear Robust Control for Missile Unsupported Random Launch Based on Dynamic Surface and Time Delay Estimation

Due to the difficulty in ensuring launch safety under unfavorable launch site conditions, restrictions regarding the selection of launch sites significantly weaken the maneuverability of the unsupported random vertical launch (URVL) mode. In this paper, a nonlinear robust control strategy is propose...

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Main Authors: Xiaochuan Yu, Hui Sun, Haoyang Liu, Xianglong Liang, Xiaowei Yang, Jianyong Yao
Format: Article
Language:English
Published: MDPI AG 2025-03-01
Series:Actuators
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Online Access:https://www.mdpi.com/2076-0825/14/3/142
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author Xiaochuan Yu
Hui Sun
Haoyang Liu
Xianglong Liang
Xiaowei Yang
Jianyong Yao
author_facet Xiaochuan Yu
Hui Sun
Haoyang Liu
Xianglong Liang
Xiaowei Yang
Jianyong Yao
author_sort Xiaochuan Yu
collection DOAJ
description Due to the difficulty in ensuring launch safety under unfavorable launch site conditions, restrictions regarding the selection of launch sites significantly weaken the maneuverability of the unsupported random vertical launch (URVL) mode. In this paper, a nonlinear robust control strategy is proposed to control the missile attitude by actively adjusting the oscillation of the launcher through the hydraulic actuator, enhancing the launching safety and the adaptability of the VMLS to the launching site. Firstly, considering the interaction among the launch canister, adapters, and missile, a 6-DOF dynamic model of the launch system is established, in combination with the dynamics of the hydraulic actuator. Then, in order to facilitate the nonlinear controller design, the seventh-order state-space equation is constructed, according to the dynamic model of the launch system. Subsequently, in view of the problem of “differential explosion” in the backstepping controller design of the seventh-order nonlinear system, a nonlinear dynamic surface control (DSC) framework is proposed. Meanwhile, the time delay estimation (TDE) technique is introduced to suppress the influence of the complex nonlinearities of the launch system on the missile attitude control, and a nonlinear robust control (NRC) is introduced to attenuate the TDE error. Both of these are integrated into the DSC framework, which can achieve asymptotic output tracking. Finally, numerical simulations are conducted to validate the superiority of the proposed control strategy in regards to missile launch response control.
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spelling doaj-art-e11d3042190c447784875d1482b0eb672025-08-20T02:41:54ZengMDPI AGActuators2076-08252025-03-0114314210.3390/act14030142Nonlinear Robust Control for Missile Unsupported Random Launch Based on Dynamic Surface and Time Delay EstimationXiaochuan Yu0Hui Sun1Haoyang Liu2Xianglong Liang3Xiaowei Yang4Jianyong Yao5School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, ChinaJiangsu Advanced Construction Machinery Innovation Center Ltd., Xuzhou 221000, ChinaSchool of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, ChinaSchool of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, ChinaSchool of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, ChinaSchool of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, ChinaDue to the difficulty in ensuring launch safety under unfavorable launch site conditions, restrictions regarding the selection of launch sites significantly weaken the maneuverability of the unsupported random vertical launch (URVL) mode. In this paper, a nonlinear robust control strategy is proposed to control the missile attitude by actively adjusting the oscillation of the launcher through the hydraulic actuator, enhancing the launching safety and the adaptability of the VMLS to the launching site. Firstly, considering the interaction among the launch canister, adapters, and missile, a 6-DOF dynamic model of the launch system is established, in combination with the dynamics of the hydraulic actuator. Then, in order to facilitate the nonlinear controller design, the seventh-order state-space equation is constructed, according to the dynamic model of the launch system. Subsequently, in view of the problem of “differential explosion” in the backstepping controller design of the seventh-order nonlinear system, a nonlinear dynamic surface control (DSC) framework is proposed. Meanwhile, the time delay estimation (TDE) technique is introduced to suppress the influence of the complex nonlinearities of the launch system on the missile attitude control, and a nonlinear robust control (NRC) is introduced to attenuate the TDE error. Both of these are integrated into the DSC framework, which can achieve asymptotic output tracking. Finally, numerical simulations are conducted to validate the superiority of the proposed control strategy in regards to missile launch response control.https://www.mdpi.com/2076-0825/14/3/142unsupported random vertical launchdynamic model of launch systemdynamic surface controltime delay estimationnonlinear robust control
spellingShingle Xiaochuan Yu
Hui Sun
Haoyang Liu
Xianglong Liang
Xiaowei Yang
Jianyong Yao
Nonlinear Robust Control for Missile Unsupported Random Launch Based on Dynamic Surface and Time Delay Estimation
Actuators
unsupported random vertical launch
dynamic model of launch system
dynamic surface control
time delay estimation
nonlinear robust control
title Nonlinear Robust Control for Missile Unsupported Random Launch Based on Dynamic Surface and Time Delay Estimation
title_full Nonlinear Robust Control for Missile Unsupported Random Launch Based on Dynamic Surface and Time Delay Estimation
title_fullStr Nonlinear Robust Control for Missile Unsupported Random Launch Based on Dynamic Surface and Time Delay Estimation
title_full_unstemmed Nonlinear Robust Control for Missile Unsupported Random Launch Based on Dynamic Surface and Time Delay Estimation
title_short Nonlinear Robust Control for Missile Unsupported Random Launch Based on Dynamic Surface and Time Delay Estimation
title_sort nonlinear robust control for missile unsupported random launch based on dynamic surface and time delay estimation
topic unsupported random vertical launch
dynamic model of launch system
dynamic surface control
time delay estimation
nonlinear robust control
url https://www.mdpi.com/2076-0825/14/3/142
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