Point stabilization and trajectory tracking of underactuated surface vessels: a geometric control approach

2021 ◽  
Author(s):  
Xiaodong He ◽  
Zhiyong Geng
Keyword(s):  
Trajectory Tracking ◽  
Geometric Control ◽  
Control Approach ◽  
Surface Vessels ◽  
Underactuated Surface Vessels ◽  
Point Stabilization

Full-state nonlinear trajectory tracking control of underactuated surface vessels

2020 ◽  
Vol 26 (15-16) ◽  
pp. 1286-1296 ◽  
Author(s):  
Karl L Fetzer ◽  
Sergey Nersesov ◽  
Hashem Ashrafiuon
Keyword(s):  
Trajectory Tracking ◽  
Sliding Mode ◽  
Trajectory Tracking Control ◽  
Control Laws ◽  
Control Approach ◽  
Surface Vessels ◽  
Modeling Uncertainties ◽  
Underactuated Surface Vessels ◽  
System States ◽  
Error Dynamics

This article presents the development, implementation, and comparison of two trajectory tracking nonlinear controllers for underactuated surface vessels. A control approach capable of stabilizing all the states of any planar vehicle is specifically adapted to surface vessels. The method relies on transformation of the six position and velocity state dynamics into a four-state error dynamics. The backstepping and sliding mode control laws are then derived for stabilization of the error dynamics and proven to stabilize all system states. Simulations are presented in the absence and presence of modeling uncertainties and unknown disturbances. An experimental setup is then described, followed by successful experimental implementation and comparison of the two controllers.

Trajectory Tracking of Underactuated Surface Vessels Based on Hierarchical Sliding Mode

2014 ◽  
Author(s):  
Cheng Liu ◽  
Zaojian Zou ◽  
Jianchuan Yin
Keyword(s):  
Trajectory Tracking ◽  
Degrees Of Freedom ◽  
Closed Loop ◽  
Sliding Mode ◽  
Underactuated System ◽  
Sliding Mode Controller ◽  
Control Field ◽  
Surface Vessels ◽  
Underactuated Surface Vessels ◽  
Hierarchical Sliding Mode

Trajectory tracking is an importance practice in ship motion control field. It attracts more attention recently due to its difficulties. Trajectory tracking requires the ship to arrive pinpoint location at exact time. It is a underactuated system because the degrees of freedom of control inputs are fewer than the degrees of freedom that needed to be controlled. In this paper, a hierarchical sliding mode controller and a common sliding mode controller are proposed to deal with the trajectory tracking problem of underactuated surface vessels. Simulation results validate the tracking performance of the proposed controllers. The closed-loop stability is testified by the Lyapunov stability theorem.

Formation Control for Underactuated Surface Vessel Networks

2020 ◽  
Author(s):  
Bo Wang ◽  
Sergey Nersesov ◽  
Hashem Ashrafiuon
Keyword(s):  
Dynamic Model ◽  
Formation Control ◽  
Sliding Mode ◽  
Nonlinear Dynamical System ◽  
Order Error ◽  
Reduced Order ◽  
Control Approach ◽  
Surface Vessels ◽  
Underactuated Surface Vessels ◽  
Error Dynamics

Abstract Developing distributed control algorithms for multi-agent systems is difficult when each agent is modeled as a nonlinear dynamical system. Moreover, the problem becomes far more complex if the agents do not have sufficient number of actuators to track any arbitrary trajectory. In this paper, we present the first fully decentralized approach to formation control for networks of underactuated surface vessels. The vessels are modeled as three degree of freedom planar rigid bodies with two actuators. Algebraic graph theory is used to model the network as a directed graph and employing a leader-follower model. We take advantage of the cascade structure of the combined nonlinear kinematic and dynamic model of surface vessels and develop a reduced-order error dynamic model using a state transformation definition. The error dynamics and consequently all system states are then stabilized using sliding mode control approach. It is shown that the stabilization of the reduced-order error dynamics guarantees uniform global asymptotic stability of the closed-loop system subject to bounded uncertainties. The proposed control method can be implemented in directed time-invariant communication networks without the availability of global position measurements for any of the vehicles participating in the network. An example of a a network of five surface vessels is simulated to verify the effective performance of the proposed control approach.

scholarly journals Trajectory tracking control of unmanned surface vessels with input saturation and full-state constraints

2018 ◽  
Vol 15 (5) ◽  
pp. 172988141880811 ◽  
Author(s):  
Hongde Qin ◽  
Chengpeng Li ◽  
Yanchao Sun ◽  
Zhongchao Deng ◽  
Yuhan Liu
Keyword(s):  
Trajectory Tracking ◽  
Tracking Control ◽  
State Constraints ◽  
Input Saturation ◽  
Adaptive Method ◽  
Trajectory Tracking Control ◽  
Control Approach ◽  
Surface Vessels ◽  
Full State ◽  
Full State Constraints

This article investigates the trajectory tracking control problem for unmanned surface vessels with input saturation and full-state constraints. The barrier Lyapunov function is used to solve the problem of state constraints, and the adaptive method is employed to handle the unknown random disturbances and saturation problems. The proposed control approach can guarantee that the control law and signals of closed-loop system are uniformly bounded and achieve the asymptotic tracking. Finally, simulation studies are provided to show the effectiveness of the proposed method.

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