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Research on Backstepping Sliding Mode Control for Ball and Plate System with Command Filter
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MENG Shengjun1, HAN Guangxin1*, BAI Haowen1, Lu Yingxin2
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Abstract
In order to solve the problem that the chattering phenomenon in sliding mode control affects the trajectory tracking control performance of the ball and plate system, backstepping sliding mode control method combined with a command filter is proposed. Firstly, the mathematical model of the ball and plate system is established, and the general sliding mode control law is designed according to the system error equation. Secondly, a compound system with command filter is constructed and an error backstepping controller is designed. Finally, the global asymptotic stability of the whole closed-loop system is proved by Lyapunov theory. The simulation results show that this method can effectively suppress the chattering phenomenon and further strengthen the disturbance-rejection performance.
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Published: 25 July 2022
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