高超声速飞行器耦合系统变结构控制设计

摘要

为了解决高超声速飞行器耦合系统控制问题,将上述耦合系统表示成具有非匹配不确定性的关联大系统形式.利用关联大系统的Lyapunov稳定理论及其Riccati方程设计滑动模态及变结构控制.采用Lyapunov方法证明设计的变结构控制使得滑动模态满足可达条件,且关联大系统全局结构渐近稳定.根据Frobenius-Perron定理得出控制器参数选择算法.最后对于所设计的控制系统在高超声速下的倾斜转弯运动进行了仿真验证.仿真结果表明该控制系统满足高超声速飞行器稳定飞行要求.%A correlational large-scale system model for coupled hypersonic vehicle system with mismatched uncertainties is given firstly. Then its sliding-mode and variable structure controller are designed based on Lyapunov stabilization theory and Riccati equation of the generalized correlational large-scale system. It is proved that the designed variable structure controller makes the sliding-mode satisfy the reachability condition, and the correlational large-scale system is global structural asymptotic stability. The selection algorithm for the controller is given by employing Frobenius-Perron theorem. The designed controller is used to simulate the given bank-to-turn command in hypersonic flight. The simulation results show that the control system can achieve the bank-to-tum motion and guarantee the stability of the hypersonic vehicle.