Quaternion-Based Fast SMC–PD Cross-Domain Tracking Control for Coaxial Hybrid Aerial–Underwater Vehicle Under Oceanic Disturbances

In this study, nonsingular modeling and cross-domain trajectory tracking control problems for a special class of coaxial hybrid aerial–underwater vehicles (HAUVs) are investigated. Coaxial HAUVs need to effectively overcome the influence of hydrodynamic factors when moving underwater, so the attitud...

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Main Authors: Mingqing Lu, Wei Yang, Fei Liao, Shichong Wu, Yumin Su, Wenhua Wu
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Applied Sciences
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Online Access:https://www.mdpi.com/2076-3417/15/2/703
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author Mingqing Lu
Wei Yang
Fei Liao
Shichong Wu
Yumin Su
Wenhua Wu
author_facet Mingqing Lu
Wei Yang
Fei Liao
Shichong Wu
Yumin Su
Wenhua Wu
author_sort Mingqing Lu
collection DOAJ
description In this study, nonsingular modeling and cross-domain trajectory tracking control problems for a special class of coaxial hybrid aerial–underwater vehicles (HAUVs) are investigated. Coaxial HAUVs need to effectively overcome the influence of hydrodynamic factors when moving underwater, so the attitude angle required by coaxial HAUVs is much larger than that in the air. The attitude representation based on quaternion modeling is adopted to avoid the inherent singularity of Euler angle modeling. A cascade sliding mode control and proportion differentiation (SMC-PD) controller is proposed, which is used to position trajectory and attitude quaternion tracking control, respectively. An adaptive sliding mode controller based on disturbance observer (DO) enhancement is adopted in the outer loop to carry trajectory tracking control. At the same time, the expected attitude angle is calculated by the outer loop (position) and is converted into the expected quaternion. With reference to the idea of enhanced robustness in active disturbance rejection control (ADRC), a feedforward proportion derivation (PD) controller based on DO enhancement is used to track the desired quaternion. A variable parameter adaptive algorithm based on the learning rate is introduced in the cascaded SMC-PD controller. The error convergence speed of the system is further improved by adaptively changing the controller parameters. The stability of the proposed control scheme is proved by using the Lyapunov theory. The numerical simulation results show that the controller has good robustness and effectiveness.
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institution Kabale University
issn 2076-3417
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publishDate 2025-01-01
publisher MDPI AG
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series Applied Sciences
spelling doaj-art-2f5148ef536948bdb0e1d86add1202c72025-01-24T13:20:32ZengMDPI AGApplied Sciences2076-34172025-01-0115270310.3390/app15020703Quaternion-Based Fast SMC–PD Cross-Domain Tracking Control for Coaxial Hybrid Aerial–Underwater Vehicle Under Oceanic DisturbancesMingqing Lu0Wei Yang1Fei Liao2Shichong Wu3Yumin Su4Wenhua Wu5National Key Laboratory of Autonomous Marine Vehicle Technology, Harbin Engineering University, Harbin 150001, ChinaAerospace Technology Institute, China Aerodynamics Research and Development Center, Mianyang 621000, ChinaAerospace Technology Institute, China Aerodynamics Research and Development Center, Mianyang 621000, ChinaAerospace Technology Institute, China Aerodynamics Research and Development Center, Mianyang 621000, ChinaNational Key Laboratory of Autonomous Marine Vehicle Technology, Harbin Engineering University, Harbin 150001, ChinaAerospace Technology Institute, China Aerodynamics Research and Development Center, Mianyang 621000, ChinaIn this study, nonsingular modeling and cross-domain trajectory tracking control problems for a special class of coaxial hybrid aerial–underwater vehicles (HAUVs) are investigated. Coaxial HAUVs need to effectively overcome the influence of hydrodynamic factors when moving underwater, so the attitude angle required by coaxial HAUVs is much larger than that in the air. The attitude representation based on quaternion modeling is adopted to avoid the inherent singularity of Euler angle modeling. A cascade sliding mode control and proportion differentiation (SMC-PD) controller is proposed, which is used to position trajectory and attitude quaternion tracking control, respectively. An adaptive sliding mode controller based on disturbance observer (DO) enhancement is adopted in the outer loop to carry trajectory tracking control. At the same time, the expected attitude angle is calculated by the outer loop (position) and is converted into the expected quaternion. With reference to the idea of enhanced robustness in active disturbance rejection control (ADRC), a feedforward proportion derivation (PD) controller based on DO enhancement is used to track the desired quaternion. A variable parameter adaptive algorithm based on the learning rate is introduced in the cascaded SMC-PD controller. The error convergence speed of the system is further improved by adaptively changing the controller parameters. The stability of the proposed control scheme is proved by using the Lyapunov theory. The numerical simulation results show that the controller has good robustness and effectiveness.https://www.mdpi.com/2076-3417/15/2/703cross-domain tracking controlhybrid aerial–underwater vehiclequaternion modelingsliding mode controlPD controladaptive algorithm
spellingShingle Mingqing Lu
Wei Yang
Fei Liao
Shichong Wu
Yumin Su
Wenhua Wu
Quaternion-Based Fast SMC–PD Cross-Domain Tracking Control for Coaxial Hybrid Aerial–Underwater Vehicle Under Oceanic Disturbances
Applied Sciences
cross-domain tracking control
hybrid aerial–underwater vehicle
quaternion modeling
sliding mode control
PD control
adaptive algorithm
title Quaternion-Based Fast SMC–PD Cross-Domain Tracking Control for Coaxial Hybrid Aerial–Underwater Vehicle Under Oceanic Disturbances
title_full Quaternion-Based Fast SMC–PD Cross-Domain Tracking Control for Coaxial Hybrid Aerial–Underwater Vehicle Under Oceanic Disturbances
title_fullStr Quaternion-Based Fast SMC–PD Cross-Domain Tracking Control for Coaxial Hybrid Aerial–Underwater Vehicle Under Oceanic Disturbances
title_full_unstemmed Quaternion-Based Fast SMC–PD Cross-Domain Tracking Control for Coaxial Hybrid Aerial–Underwater Vehicle Under Oceanic Disturbances
title_short Quaternion-Based Fast SMC–PD Cross-Domain Tracking Control for Coaxial Hybrid Aerial–Underwater Vehicle Under Oceanic Disturbances
title_sort quaternion based fast smc pd cross domain tracking control for coaxial hybrid aerial underwater vehicle under oceanic disturbances
topic cross-domain tracking control
hybrid aerial–underwater vehicle
quaternion modeling
sliding mode control
PD control
adaptive algorithm
url https://www.mdpi.com/2076-3417/15/2/703
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