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建立了高超声速飞行器纵向动力学模型,应用稳定流形理论确定了高超声速飞行器纵向非线性动力学系统稳定边界,确定了飞行器纵向动力学系统在工作点的抗干扰能力;用工作点与稳定边界上不稳定平衡点距离l_(ep)近似刻画了稳定域大小;给出了相同飞行状态下稳定边界和线性稳定裕度的保守性对比分析,获得了基于流形的设计参数l_(ep)与幅值裕度的变化相关规律,可在综合考虑非线性系统抗干扰能力前提下为高超声飞行器飞行控制系统频域指标设计提供新的思路与方法。
The longitudinal dynamics model of hypersonic vehicle is established. The stability boundary of the longitudinal nonlinear dynamic system of the hypersonic vehicle is determined by the theory of steady manifold, and the anti-interference ability of the longitudinal dynamics system of the aircraft at the working point is determined. The epicentral equilibrium distance l_ (ep) approximately depict the size of the stable region. The conservative contrast analysis of the stability boundary and the linear stability margin under the same flight condition is given. The design parameters l_ (ep) and The law of amplitude margin changes can provide new ideas and methods for the design of HVDC flight control system frequency domain index under the premise of considering the anti-interference ability of nonlinear systems.