基于参数依赖滚动时域H∞控制的高超声速飞行器控制

针对输入受限的高超声速飞行器强耦合、强非线性以及严重不确定性的特点,提出一种参数依赖滚动时域?∞控制(PD-RHHC)的方法.首先在考虑控制输入约束的条件下,引入参数依赖Lyapunov函数和松弛因子并提出了基于LMI优化的PD-RHHC;然后采用函数替换方法,结合张量积模型转换方法实现高超声速飞行器(HSV)纵向非线性弹性模型的LPV描述,并将PD-RHHC应用到高超声速飞行器纵向控制中,以实现HSV在大飞行包线内的机动飞行;最后通过仿真实验验证了所提出算法的有效性.

Parameter dependent receding horizon H∞ control for a hypersonic vehicle

For the complicated aerodynamics characteristic and severely uncertainty of nonlinear model of a flexible hypersonic vehicle with input constraints, a parameter dependent receding horizon  H_∞ control (PD-RHHC) scheme based on linear parameter varying (LPV) is developed. Firstly, under the condition of considering input constraints and characters of the LPV system, an on-line PD-RHHC strategy is presented based on LMI optimization by introducting the parameter dependent Lyapunov function and relaxation factor. Then, the complicated nonlinear flexible model is transformed into the LPV form by using the function substitution and Tensor-Product model transformation method. And the parameter dependent robust controller is designed for the LPV model of the hypersonic vehicle, to guarantee large scale maneuver of the hypersonic vehicle in fight envelop. The digital simulation results show the effectiveness of the proposed method.