参数未知非线性混沌系统的自适应反演滑模控制

Adaptive backstepping sliding mode control of nonlinear chaotic systems with unknown parameters

针对一类含有非匹配未知参数和非参数不确定性的混沌系统,基于自适应反演和滑模控制方法,研究自适应反演滑模控制策略,实现了不确定混沌系统的调节问题。与现有自适应控制相比,允许系统存在非匹配未知参数和非参数化的不确定性,增强了控制系统的鲁棒性。仿真算例证明了理论研究成果的正确性和鲁棒性。

For the nonlinear chaotic systems with unknown parameters, an adaptive controller is presented. The controller employs an adaptive backstepping control algorithm to eliminate the influence of mismatched unknown parameters and the sliding mode control strategy to deal with the nonparametric uncertainties and bounded disturbance in the nonlinear chaotic systems. Compared with the existing controllers, the proposed controller can enhance the robustness of the closed-loop control system. Simulation results show the correctness and robustness of the control strategy.