Heading control method for under-actuated ships based on nonlinear backstepping
A heading control and underactuation technology, applied in non-electric variable control, two-dimensional position/course control, vehicle position/route/altitude control, etc., can solve system performance degradation, increased rudder loss, closed-loop system instability, etc. question
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[0054] The present invention proposes an underactuated ship heading control method based on nonlinear backstepping method, introduces hyperbolic tangent function and Nussbaum function to approximate the control input saturation constraint function, converts it into a derivable continuous function, and combines adaptive law to Approximation errors and external disturbances are estimated and processed. In addition, in order to avoid the complex derivation process of the virtual control law in the backstepping method, a filter-assisted system solution is proposed, and a complete control system is formed based on the backstepping method. Include the following steps:
[0055]Step 1. Establish a 2-DOF underactuated ship mathematical model;
[0056] Based on the assumption that the heave, roll, and pitch motions are negligible, the underactuated ship dynamics model can be simplified to two degrees of freedom motion in the direction of sway and yaw, which can be summarized as follows:...
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