应用跟踪微分器的高超声速飞行器的反演控制

针对存在参数摄动和外部干扰等不确定性的高超声速飞行器模型，提出一种基于新型跟踪微分器的鲁棒反演控制方法。利用正切sigmoid函数和终端吸引子函数设计跟踪微分器，通过扫频测试得到了参数整定规则，并进行了对比仿真试验。在此基础上，构造一种非线性干扰观测器对模型的不确定项进行估计，增强了控制器的鲁棒性；并利用所设计的跟踪微分器对虚拟控制量进行滤波处理，解决了传统反演控制的“微分项膨胀”问题。最后，通过仿真校验了所设计控制器的有效性。

Backstepping Control for Hypersonic Vehicle with a Novel Tracking Differentiator

 A robust backstepping control method based on the novel tracking differentiator is proposed, considering the air-breathing hypersonic vehicle model with parameter perturbations and external disturbances. The tracking differentiator is designed by using the tangent sigmoid function and the terminal attractor function. The parameters tuning rules are obtained through the frequency test, and the contrast simulation experiment is conducted. On this basis, a nonlinear disturbance observer is constructed to estimate the uncertainties of the model, thus enhancing the robustness of the controller. Also, the designed tracking differentiator is used to filter the virtual control variables, thus avoiding the problem of “explosion of term” in the traditional backstepping control. Finally, the effectiveness of the designed controller is verified by simulation.