Virtual guidance-based finite-time path-following control of underactuated autonomous airship with error constraints and uncertainties

2020 ◽  
pp. 095441002096931
Author(s):  
Yan Wei ◽  
Pingfang Zhou ◽  
Yueying Wang ◽  
Dengping Duan ◽  
Zheng Chen
Keyword(s):  
Finite Time ◽  
Degrees Of Freedom ◽  
Three Dimensional ◽  
Small Neighborhood ◽  
Path Following ◽  
Coordinate Frame ◽  
Control Approach ◽  
Finite Time Stability ◽  
Path Following Control ◽  
Following Error

This paper addresses the finite-time three-dimensional path-following control problem for underactuated autonomous airship with error constraints and uncertainties. First, a five degrees-of-freedom path-following error model in the Serret-Frenet coordinate frame is established. By applying the finite-time stability theory, a virtual guidance-based finite-time adaptive neural backstepping path-following control approach is proposed. Barrier Lyapunov functions (BLFs) are introduced to deal with attitude error constraints. Neural networks (NNs) are presented to compensate for the uncertainties. To prevent the “explosion of complexity” in the design of the backstepping method, a finite-time convergent differentiator (FTCD) is introduced to estimate the time derivatives of virtual control signals. Stability analysis showed that all closed-loop signals are uniformly ultimately bounded, the constrained requirements on the airship attitude errors are never violated, and the path-following errors converge to a small neighborhood of the origin in a finite time. At last, simulation studies are provided to demonstrate the effectiveness of the proposed control approach.

scholarly journals Three-dimensional path following control of underactuated autonomous underwater vehicle based on damping backstepping

2017 ◽  
Vol 14 (4) ◽  
pp. 172988141772417 ◽  
Author(s):  
Xiao Liang ◽  
Xingru Qu ◽  
Yuanhang Hou ◽  
Jundong Zhang
Keyword(s):  
Autonomous Underwater Vehicles ◽  
Three Dimensional ◽  
Path Following ◽  
Ocean Current ◽  
Singular Problem ◽  
Stable Theory ◽  
Parameter Uncertainties ◽  
External Disturbances ◽  
Path Following Control ◽  
Following Error

This article addresses the problem of three-dimensional path following control for underactuated autonomous underwater vehicles in the presence of ocean current. Firstly, three-dimensional path following error model was established based on virtual guidance method. The control law is developed by building virtual velocity errors and backstepping method, which can simplify the virtual control input and avoid the singular problem induced by initial state constraints. Considering the curvature and torsion characteristics of the three-dimensional desired path, the approaching angle is introduced to guarantee fast convergence of error. Nonlinear damping term is introduced to offset the effects of dynamic uncertainties and external disturbances. The controller stability was proved by Lyapunov stable theory. Finally, simulations were conducted and the results indicate the effectiveness and robustness to parameter uncertainties and external disturbances of the proposed approach.

Adaptive Finite Time Path-Following Control of Underactuated Surface Vehicle With Collision Avoidance

2019 ◽  
Vol 141 (12) ◽  
Author(s):  
Jawhar Ghommam ◽  
Lamia Iftekhar ◽  
Maarouf Saad
Keyword(s):  
Finite Time ◽  
Sliding Mode ◽  
Path Following ◽  
Control Laws ◽  
Finite Time Stability ◽  
Time Path ◽  
Path Following Control ◽  
Unknown Disturbances ◽  
Local Path ◽  
Surface Vessel

Abstract This paper considers the finite time path-following control problem for an underactuated surface vessel subject to parametric uncertainties, unknown disturbances, and involving input-control saturation. A finite time command filtered backstepping approach is adopted as the main control framework along with the first-order sliding mode differentiator introduced to compute the derivatives of virtual control laws, and the analytical computational burden in the backstepping control is reduced for the design of the control for the underactuated surface vessel. A rigorous proof of the finite time stability of the closed-loop system is derived by utilizing the Lyapunov method. Furthermore, in order to avoid obstacles, a local path replanning technique is designed based on a repulsive potential function that acts directly on the original desired path. The effectiveness of the proposed strategy is validated through numerical simulations.

scholarly journals Path Following Control of the Underactuated USV Based On the Improved Line-of-Sight Guidance Algorithm

2017 ◽  
Vol 24 (1) ◽  
pp. 3-11 ◽  
Author(s):  
Tao Liu ◽  
Zaopeng Dong ◽  
Hongwang Du ◽  
Lifei Song ◽  
Yunsheng Mao
Keyword(s):  
Lyapunov Stability ◽  
Tangential Velocity ◽  
Path Following ◽  
Lyapunov Stability Theory ◽  
Line Of Sight ◽  
Coordinate Frame ◽  
Control Law ◽  
Path Following Control ◽  
Guidance Algorithm ◽  
Following Error

Abstract The path following control problem of the underactuated unmanned surface vessel (USV) is studied in this paper. An improved line-of-sight (LOS) guidance algorithm is proposed which can adjust adaptively based on the path following error. The global asymptotically stable path following controller is designed based on the nonlinear backstepping method and the Lyapunov stability theory. Firstly, the USV path following error model is established in the Serret-Frenet (SF) coordinate frame. The path following error in the inertial coordinate frame is transformed into the SF coordinate frame, which is used to define the path following control problem. Secondly, inspired by the traditional LOS guidance algorithm, the longitudinal path following error in the SF coordinate frame is introduced into the improved LOS guidance algorithm. This allows the algorithm to adjust adaptively to the desired path. Thirdly, in order to solve the underactuated problem of the USV path following control system, the tangential velocity of the desired path is designed as a virtual input. The underactuated problem is converted to a virtual fully actuated problem by designing the virtual control law for the tangential velocity. Finally, by combining backstepping design principles and the Lyapunov stability theory, the longitudinal thrust control law and the yaw torque control law are designed for the underactuated USV. Meanwhile, the global asymptotic stability of the path following error is proved. Simulation experiments demonstrate the effectiveness and reliability of the improved LOS guidance algorithm and the path following controller.

Finite-time output feedback path following control of underactuated MSV based on FTESO

2021 ◽  
Vol 224 ◽  
pp. 108660
Author(s):  
Jun Nie ◽  
Haixia Wang ◽  
Xiao Lu ◽  
Xiaogong Lin ◽  
Chunyang Sheng ◽  
...  
Keyword(s):  
Output Feedback ◽  
Finite Time ◽  
Path Following ◽  
Feedback Path ◽  
Path Following Control

scholarly journals Three-dimensional path following control based net cage inspection bionic robotic fish

2021 ◽  
Author(s):  
Yuanrong Chen ◽  
Jingfen Qiao ◽  
Jincun Liu ◽  
Ran Zhao ◽  
Dong An ◽  
...  
Keyword(s):  
Three Dimensional ◽  
Path Following ◽  
Robotic Fish ◽  
Path Following Control ◽  
Net Cage

scholarly journals Underactuated AUV Nonlinear Finite-Time Tracking Control Based on Command Filter and Disturbance Observer

Sensors ◽  
2019 ◽  
Vol 19 (22) ◽  
pp. 4987 ◽  
Author(s):  
Xu ◽  
Zhang ◽  
Cao ◽  
Pang ◽  
Sun
Keyword(s):  
Finite Time ◽  
Autonomous Underwater Vehicle ◽  
Tracking Error ◽  
Three Dimensional ◽  
Path Following ◽  
Lyapunov Stability Theory ◽  
Ocean Currents ◽  
3D Tracking ◽  
Time Control ◽  
Underactuated Auv

The three-dimensional (3D) path following problem of an underactuated autonomous underwater vehicle with ocean currents disturbances is addressed in this paper. Firstly, the motion equation under the ocean currents disturbance is established, and the dynamic model of 3D tracking error is constructed based on virtual guidance method. Then, a finite-time control scheme based on super-twisting observer and command filtered backstepping technology is proposed. We adopt super-twisting observer based on finite-time theory to observe the ocean currents disturbances for improving the system robust. A command filtered backstepping is proposed to replace the differential process in the conventional backstepping method for avoiding the differential expansion problem. The filter compensation loop is designed to ensure the accuracy of the filtered signal, and the anti-integration saturation link is designed considering the influence of integral saturation. Lyapunov stability theory is used to prove the stability of the underactuated AUV. Simulation studies are conducted to show the effectiveness and robustness of the controller.

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.

Sign in / Sign up

Export Citation Format

Share Document