非匹配不确定的弹性高超声速飞行器终端滑模控制

Terminal sliding mode control for flexible hypersonic vehicle with mismatched uncertainties

为解决带有非匹配不确定的弹性高超声速飞行器(FHV)鲁棒跟踪控制问题,设计一种基于有限时间干扰观测器的非奇异终端滑模控制器.首先,通过将弹性模态的影响视为不确定,与系统参数不确定一起处理为综合不确定,将带有弹性的高超声速飞行器模型简化为便于控制器设计的面向控制模型;其次,设计有限时间干扰观测器估计模型的综合不确定;进而,基于干扰观测器,设计一种新型的非奇异终端滑模面,将高阶不匹配问题转化成一阶匹配问题,进行控制器的设计;最后通过Lyapunov理论证明了闭环系统的稳定性.仿真结果表明:所设计的控制器可以有效抑制非匹配不确定及弹性的影响,实现了飞行器速度与高度的稳定跟踪控制.

A finite-time disturbance observer-based nonsingular terminal sliding mode control strategy is proposed for flexible hypersonic vehicle （ FHV） with mismatched uncertainties. First of all, by considering the effects of flexible modes as uncertainties, the control-oriented model, which is convenient for controller design, is obtained by simplification of the FHV model. Then, the lumped uncertainties are estimated by finite-time disturbance observer. Afterwards, a novel nonsingular terminal sliding surface containing the disturbance estimations is designed, which can transform the high-order mismatched uncertainties into first-order matched uncertainties. Then the controller is developed. The stability of the closed-loop system is guaranteed by Lyapunov theory. Simulation results show that the proposed controller is effective in suppressing the mismatched uncertainties and has achieved stable tracking of velocity and altitude.