Adaptive iterative learning control combined with discrete-time sliding mode control for piezoelectric nanopositioning

Author(s):  
Yulong Zhang ◽  
Qingsong Xu
Author(s):  
Xiaodong Lu ◽  
Hao Zhang ◽  
Jianguo Guo ◽  
Jun Zhou

Aiming at the complicated nonlinearities, high uncertainties and strong coupling of hypersonic vehicle, a new adaptive iterative learning control method is put forward. The proposed controller combined iterative learning control with sliding mode control. Firstly, a nonlinear design model for the attitude control is established according to the attitude motion equations of hypersonic vehicle. With regard to a class of nonlinear system, a new iterative learning control combination with sliding mode control is proposed and then applied to the nonlinear design model. Finally, Lyapunov-like function method is used to prove the boundedness of all signals of the closed-loop system and the convergence of the tracking errors to zero over iterations. Simulation results are provided to show the effectiveness and robustness of the proposed control scheme compared with traditional sliding mode control. Furthermore, it also possesses stronger robustness against uncertainties and disturbances.


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