Nonsingular Serret–Frenet Based Path Following Control for an Underactuated Surface Vessel

2009 ◽  
Vol 131 (2) ◽  
Author(s):  
Jawhar Ghommam ◽  
Faïçal Mnif ◽  
Abederraouf Benali ◽  
Nabil Derbel
Keyword(s):  
Direct Method ◽  
Path Following ◽  
Ocean Current ◽  
Control Law ◽  
High Fidelity Simulation ◽  
Lyapunov Direct Method ◽  
Path Following Control ◽  
Definition Of ◽  
Along Track ◽  
Surface Vessel

In this paper we develop a new control law to steer an underactuated surface vessel along a predefined path at a constant forward speed controlled by the main thruster system. The methodology is based on the Serret–Frenet formulation to represent the ship kinematics in terms of path parameters, which allows for convenient definition of cross and along track error. Furthermore, our approach for path following overcomes the stringent initial condition constraints. This paper also addresses the path following with environmental disturbances induced by wave, wind, and ocean-current. The proposed controller is designed based on the Lyapunov direct method and backstepping technique. The closed loop path following errors is proven to be uniform ultimate bounded. Results are demonstrated by high fidelity simulation.

scholarly journals Underactuated USV Path Following Mechanism Based on the Cascade Method

2021 ◽  
Author(s):  
Mingzhen Lin ◽  
Zhiqiang Zhang ◽  
Yandong Pang ◽  
Hongsheng Lin ◽  
Qing Ji
Keyword(s):  
Tracking Error ◽  
Path Following ◽  
Ocean Current ◽  
Control Law ◽  
Guidance Law ◽  
Path Following Control ◽  
Heading Control ◽  
Velocity Constraints ◽  
The Stability ◽  
Rudder Angle

Abstract The path following control under disturbance was studied for an underactuated unmanned surface vehicle (USV) subject to the rudder angle and velocity constraints. For this reason, a variable look-ahead integral line-of-sight (LOS) guidance law was designed on the basis of the disturbance estimation and compensation, and a cascade path following control system was created following the heading control law based on the model prediction. Firstly, the guidance law was designed using the USV three-degree-of-freedom (DOF) motion model and the LOS method, while the tracking error state was introduced to design the real-time estimation of disturbance observer and compensate for the influence of ocean current. Moreover, the stability of the system was analyzed. Secondly, sufficient attention was paid to the rudder angle and velocity constraints and the influence of system delay and other factors in the process of path following when the heading control law was designed with the USV motion response model and the model predictive control (MPC). The moving horizon optimization strategy was adopted to achieve better dynamic performance, effectively overcome the influence of model and environmental uncertainties, and further prove the stability of the control law. Thirdly, a simulation experiment was carried out to verify the effectiveness and advancement of the proposed algorithm. Fourthly, the “Sturgeon 03” USV was used in the lake test of the proposed control algorithm to prove its feasibility in the engineering practices.

scholarly journals Finite-Time Path Following Control of an Underactuated Marine Surface Vessel with Input and Output Constraints

2020 ◽  
Vol 10 (18) ◽  
pp. 6447
Author(s):  
Mingyu Fu ◽  
Lulu Wang
Keyword(s):  
Finite Time ◽  
Input Saturation ◽  
Path Following ◽  
Parametric Uncertainties ◽  
External Disturbances ◽  
Time Path ◽  
Path Following Control ◽  
Control Scheme ◽  
Marine Surface ◽  
Surface Vessel

This paper develops a finite-time path following control scheme for an underactuated marine surface vessel (MSV) with external disturbances, model parametric uncertainties, position constraint and input saturation. Initially, based on the time-varying barrier Lyapunov function (BLF), the finite-time line-of-sight (FT-LOS) guidance law is proposed to obtain the desired yaw angle and simultaneously constrain the position error of the underactuated MSV. Furthermore, the finite-time path following constraint controllers are designed to achieve tracking control in finite time. Additionally, considering the model parametric uncertainties and external disturbances, the finite-time disturbance observers are proposed to estimate the compound disturbance. For the sake of avoiding the input saturation and satisfying the requirements of finite-time convergence, the finite-time input saturation compensators were designed. The stability analysis shows that the proposed finite-time path following control scheme can strictly guarantee the constraint requirements of the position, and all error signals of the whole control system can converge into a small neighborhood around zero in finite time. Finally, comparative simulation results show the effectiveness and superiority of the proposed finite-time path following control scheme.

Composite finite-time straight-line path-following control of an underactuated surface vessel

2020 ◽  
Vol 357 (16) ◽  
pp. 11496-11517 ◽  
Author(s):  
Qiankang Hou ◽  
Li Ma ◽  
Shihong Ding ◽  
Xiaofei Yang ◽  
Xiangyong Chen
Keyword(s):  
Finite Time ◽  
Path Following ◽  
Path Following Control ◽  
Straight Line ◽  
Line Path ◽  
Surface Vessel

Straight Path Following Control for an Under-Actuated AUV

2014 ◽  
Vol 1030-1032 ◽  
pp. 1543-1549
Author(s):  
Yu Ling Ye
Keyword(s):  
Field Experiments ◽  
Path Following ◽  
Ocean Current ◽  
High Frequency Oscillation ◽  
Sideslip Angle ◽  
Path Following Control ◽  
Heading Control ◽  
Large Scope ◽  
Long Time ◽  
Cross Track

An engineering approach of path following control for the type of under-actuated AUV, such as REMUS, was proposed. The path following control was separated into 2 parts: heading guidance and heading control. The heading guidance was designed based on the cross-track error and line of sight guidance, and sideslip angle was proposed to compensate the disturbance of the ocean current. The turning criterion was proposed when the vehicle approach the waypoint. A PD control algorithm was presented to the heading control and its parameters variable with the speed. Simulation and field experiments data show that the vehicle follows the path accurately in the environment of current and different speed, and the vertical rudder keeps steady without large scope and high frequency oscillation which is fit for the long-time working AUV. Engineers can debug the parameters based on the experiment data efficiently for their explicit physical meaning.

Non-Linear Path-Following Control of Micro-AUV

2014 ◽  
Vol 1006-1007 ◽  
pp. 599-603
Author(s):  
Xing Ji ◽  
Lei Zhang ◽  
Jian Cao ◽  
Shan Ma
Keyword(s):  
Control Method ◽  
Path Following ◽  
Lyapunov Stability Theory ◽  
Linear Feedback ◽  
Control Law ◽  
Linear Feedback Control ◽  
Path Following Control ◽  
Virtual Target ◽  
Non Linear ◽  
Following Error

A novel path-following control method of under-actuated AUV is proposed in this paper. Under the Serret-Frenet coordinate system, dynamics equations of path-following error were established based on virtual target AUV. And then combined with dynamics equations of AUV, controller was designed based on Lyapunov stability theory and backstepping technique. Simulation results showed that path-following error could converge to zero rapidly by using the proposed non-linear feedback control law, to make the AUV navigate along the referenced path.

scholarly journals Spatial Path Following for AUVs Using Adaptive Neural Network Controllers

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Jiajia Zhou ◽  
Zhaodong Tang ◽  
Honghan Zhang ◽  
Jianfang Jiao
Keyword(s):  
Neural Network ◽  
Autonomous Underwater Vehicles ◽  
Path Following ◽  
Underwater Vehicles ◽  
Ocean Current ◽  
Lyapunov Stability Theorem ◽  
Adaptive Neural Network ◽  
Path Following Control ◽  
Following Error ◽  
Neural Network Controllers

The spatial path following control problem of autonomous underwater vehicles (AUVs) is addressed in this paper. In order to realize AUVs’ spatial path following control under systemic variations and ocean current, three adaptive neural network controllers which are based on the Lyapunov stability theorem are introduced to estimate uncertain parameters of the vehicle’s model and unknown current disturbances. These controllers are designed to guarantee that all the error states in the path following system are asymptotically stable. Simulation results demonstrated that the proposed controller was effective in reducing the path following error and was robust against the disturbances caused by vehicle's uncertainty and ocean currents.

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