Transactions of Nanjing University of Aeronautics & Astronautics
Adaptive Tracking Control for Diffractive Film Based on Nonlinear Sliding Mode
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Abstract:
A nonlinear sliding mode adaptive controller for a thin-film diffractive imaging system is designed to achieve accurate pointing direction over the attitude of subarrays in large-diameter mirror arrays. The kinematics and dynamics equations based on error quaternion and angular velocity are derived， and a diffractive thin-film sub-mirror array controller is designed to point precisely. Moreover， the global stability of the controller is proved by the Lyapunov method. Since the controller can adaptively identify the inertia matrix of each sub-mirror system， it is robust to bounded disturbances and changes in inertia parameters. At the same time， the continuous arctangent function is introduced， which is effectively anti-chattering. The simulation results show that the designed controller can ensure the accurate tracking of the diffractive film in each sub-mirror in the presence of rotational inertia matrix uncertainty and various disturbances.
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Project Supported:
This work was supported by the Central University Basic Research Fund of China（No. 3072022CFJ0202）and the Central University Basic Research Fund of China（No.3072022CFJ0204）.
Clc Number:
V414.5
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