【摘要】 针对快响应、高精度和强鲁棒的末制导律设计要求，本文提出一种新型的预定时间收敛制导策略.建立了末制导段的相对运动学模型，推导了由视线角及其角速率构成的二阶状态方程.提出了一种新型的预定时间收敛定理，基于该定理设计了预定时间收敛制导律，并利用李雅普诺夫定理证明了该制导律的稳定性.对制导指令采用脉宽脉频（pulse-width pulse-frequency, PWPF）调制方式进行离散化处理.数值仿真结果表明本文设计的预定时间收敛制导律能够使视线角速率在预设的时间常数前收敛且平稳无振动，并且具有较高的制导精度.更多还原

【Abstract】 In order to satisfy the requirements of fast response,high precision and strong robustness for terminal guidance laws,this paper proposes a novel predefined time convergent guidance strategy. First,the relative kinematic model of the direct collision intercept flight vehicle’s terminal guidance segment is established, and the second-order state equation composed of the sight angle and its angular velocity is derived. Then, a novel predefined time convergent theorem is proposed,and a predefined time convergent guidance law is designed based on this theorem. The stability of the guidance law is proved using the Lyapunov theorem. Finally,the guidance command is discretized using the pulse-width pulsefrequency(PWPF) method. Numerical simulation results show that the proposed guidance law can make the sight angle angular velocity converge stably and without oscillation within the predefined time constant, and has high guidance accuracy.更多还原