This article proposes an adaptive nonsingular fast terminal sliding mode control scheme with piecewise fast multi-power reaching law for tracking control of underactuated autonomous underwater vehicles under model uncertainties, ocean disturbances, and measurement noise. This control approach enhances the robustness and guarantees faster convergence of state error to zero in finite time while reducing the chattering effect. Utilizing the benefit of adaption law prevents overestimating control parameters, and it eliminates the need for the upper bound value of disturbances. The overall stability of the system is analyzed using the Lyapunov criterion. The results of the proposed approach are compared with adaptive nonsingular terminal sliding mode control and adaptive sliding mode control. The performance of the proposed control approach is evaluated by using the performance indices root mean square error and chattering indicator. The simulation results confirm the efficiency of the proposed approach.
LinYGuoJLiH, et al. Improvement of hydrodynamic performance of the disk-shaped autonomous underwater helicopter by local shape modification. Ocean Eng2022; 260: 112056.
2.
GuoQLiYLiuH, et al. An underactuated AUV tracking algorithm based on backstepping adaptive sliding mode control. In: 2020 Chinese automation congress (CAC), pp.3765–3770. DOI: 10.1109/CAC51589.2020.9326893.
3.
BechlioulisCPKarrasGCHeshmati-AlamdariS, et al. Trajectory tracking with prescribed performance for underactuated underwater vehicles under model uncertainties and external disturbances. IEEE Trans Control Syst Technol2017; 25(2): 429–440.
4.
SahooADwivedySKRobiP. Advancements in the field of autonomous underwater vehicle. Ocean Eng2019; 181: 145–160.
5.
RezazadeganFShojaeiKSheikholeslamF, et al. A novel approach to 6-DOF adaptive trajectory tracking control of an AUV in the presence of parameter uncertainties. Ocean Eng2015; 107: 246–258.
6.
ZhilenkovAChernyiSFirsovA. Autonomous underwater robot fuzzy motion control system with parametric uncertainties. Designs2021; 5(1): 24.
7.
KumarRKumarCSenD, et al. Discrete time-delay control of an autonomous underwater vehicle: theory and experimental results. Ocean Eng2009; 36(1): 74–81.
8.
YanZWangMXuJ. Global adaptive neural network control of underactuated autonomous underwater vehicles with parametric modeling uncertainty. Asian J Control2019; 21(3): 1342–1354.
9.
ElmokademTZribiMYoucef-ToumiK. Trajectory tracking sliding mode control of underactuated AUVs. Nonlinear Dyn2016; 84(2): 1079–1091.
10.
TugalHCetinKHanX, et al. Sliding mode controller for positioning of an underwater vehicle subject to disturbances and time delays. In: 2022 international conference on robotics and automation (ICRA), pp.3034–3039. DOI: 10.1109/ICRA46639.2022.9812005.
11.
EslamiMChinCSNobakhtiA. Robust modeling, sliding-mode controller, and simulation of an underactuated ROV under parametric uncertainties and disturbances. J Mar Sci Appl2019; 18(2): 213–227.
12.
González-GarcíaJGómez-EspinosaAGarcía-ValdovinosLG, et al. Model-free high-order sliding mode controller for station-keeping of an autonomous underwater vehicle in manipulation task: simulations and experimental validation. Sensors2022; 22(12): 4347.
13.
Hedayati KhodayariMParizNBalochianS. Robust stabilization for an autonomous underwater vehicle motion based on descriptor time-delay model. Proc IMechE Part I: J Systems and Control Engineering2022; 236: 1692–1708.
14.
RathBNSubudhiB. On-line extreme learning algorithm based identification and non-linear model predictive controller for way-point tracking application of an autonomous underwater vehicle. Cogn Comput Syst2019; 1(3): 61–71.
15.
SahuBKSubudhiB. Adaptive tracking control of an autonomous underwater vehicle. Int J Autom Comp2014; 11(3): 299–307.
16.
TijjaniASChemoriACreuzeV. Robust adaptive tracking control of underwater vehicles: design, stability analysis, and experiments. IEEE ASME Trans Mechatron2021; 26(2): 897–907.
17.
KimMJoeHKimJ, et al. Integral sliding mode controller for precise manoeuvring of autonomous underwater vehicle in the presence of unknown environmental disturbances. Int J Contr2015; 88(10): 2055–2065.
18.
GaoWHungJ. Variable structure control of nonlinear systems: a new approach. IEEE Trans Ind Electron1993; 40(1): 45–55.
19.
PatelBMDwivedySK. Virtual holonomic constraints based super twisting sliding mode control for motion control of planar snake robot in the uncertain underwater environment. Proc IMechE Part I: J Systems and Control Engineering2023; 237: 1480–1491.
20.
YangGYChenSY. Piecewise fast multi-power reaching law: basis for sliding mode control algorithm. Meas Control2020; 53(9–10): 1929–1942.
21.
ElmokademTZribiMYoucef-ToumiK. Terminal sliding mode control for the trajectory tracking of underactuated autonomous underwater vehicles. Ocean Eng2017; 129: 613–625.
22.
Zamora SuarezAEGarcia RangelMAMagallanesAM, et al. Nonsingular fast terminal sliding mode control for an autonomous underwater vehicle. In: 2019 16th international conference on electrical engineering, computing science and automatic control (CCE), pp.1–6. DOI: 10.1109/ICEEE.2019. 8884505.
23.
PatreBLondhePWaghmareL, et al. Disturbance estimator based non-singular fast fuzzy terminal sliding mode control of an autonomous underwater vehicle. Ocean Eng2018; 159: 372–387.
24.
GuerreroJTorresJCreuzeV, et al. Trajectory tracking for autonomous underwater vehicle: an adaptive approach. Ocean Eng2019; 172: 511–522.
25.
Ramezani-alMRTavanaei-SereshkiZ. An adaptive sliding mode controller with a new reaching law for tracking problem of an autonomous underwater vehicles. Trans Inst Meas Control2019; 41(6): 1772–1787.
26.
Martinez-PerezVSSanchez-CalvoAEGonzalez-GarciaA, et al. Adaptive non-singular terminal sliding mode tracking control of an UUV against disturbances. IFAC-PapersOnLine2022; 55(31): 13–18.
27.
SahooADwivedySKRobiP. Development of a PID control strategy for a compact autonomous underwater vehicle. In: International conference on offshore mechanics and arctic engineering, Vol. 58851, p.V07BT0 6A050. American Society of Mechanical Engineers. DOI: 10.1115/OMAE2019-95345.
28.
AshrafiuonHMuskeKRMcNinchLC, et al. Sliding-mode tracking control of surface vessels. IEEE Trans Ind Electron2008; 55(11): 4004–4012.
29.
YuRZhuQXiaG, et al. Sliding mode tracking control of an underactuated surface vessel. IET Contr Theory Appl2012; 6(3): 461–466.
30.
DoKPanJ.Control of ships and underwater vehicles: design for underactuated and nonlinear marine systems (Advances in industrial control). London: Springer, 2009.
31.
MartinsFNCelesteWCCarelliR, et al. An adaptive dynamic controller for autonomous mobile robot trajectory tracking. Contr Eng Pract2008; 16(11): 1354–1363.
32.
BoukattayaMMezghaniNDamakT. Adaptive nonsingular fast terminal sliding-mode control for the tracking problem of uncertain dynamical systems. ISA Trans2018; 77: 1–19.
33.
PlestanFShtesselYBrégeaultV, et al. New methodologies for adaptive sliding mode control. Int J Contr2010; 83(9): 1907–1919.
34.
MofidOMobayenS. Adaptive sliding mode control for finite-time stability of quad-rotor UAVs with parametric uncertainties. ISA Trans2018; 72: 1–14.
35.
HendelRKhaberFEssounbouliN. Adaptive high-order sliding mode controller-observer for MIMO uncertain nonlinear systems. Asian J Control2020; 22(6): 2309–2329.
36.
YanZWangMXuJ. Robust adaptive sliding mode control of underactuated autonomous underwater vehicles with uncertain dynamics. Ocean Eng2019; 173: 802–809.
