高超声速飞行器输入受限反演鲁棒控制

Robust back-stepping control of flexible air-breathing hypersonic vehicle subject to input constraints

针对执行机构受限条件下高超声速飞行器的控制问题,提出一种鲁棒反演控制设计方法.设计一种新的辅助系统对跟踪误差和控制律进行补偿,保证执行器受限时跟踪误差的有界性.为了避免传统反演方法中虚拟导数计算量膨胀问题,引入滑模微分器对虚拟导数进行求解.为了增强系统的鲁棒性,基于改进反正切跟踪微分器(MATD)设计一种新型干扰观测器,对系统的不确定项进行估计和补偿.最后,通过实例仿真验证了所提出控制器的有效性.

The design of a robust back-stepping tracking control for a flexible air-breathing hypersonic vehicle with actuator constraints is discussed. A novel auxiliary system is developed to compensate both the tracking errors and desired control laws, which guarantee the boundedness of velocity and altitude tracking errors with the physical limitations on the actuators. The sliding mode differentiator is introduced to obtain the derivatives of virtual control laws, which avoids the explosion of the differentiation term in the traditional back-stepping control algorithm. The novel nonlinear disturbance observers based on modified arctangent-based tracking differentiator（MATD） are introduced to estimate and compensate the uncertainties of the model. Finally, simulation results show the effectiveness of the proposed controller.