针对航空制导武器带有攻击角度约束打击地面目标的制导问题,提出了基于快速非奇异终端滑模的有限时间收敛制导律。通过引入非奇异终端滑模面,避免了制导过程中可能产生的奇异问题,该制导律具有快速收敛的特性,能够满足攻击角度约束的要求。基于Lyapnov稳定理论证明了有限时间收敛的特性,并给出了收敛时间表达式。仿真结果表明,该制导律具有快速收敛特性,能够满足脱靶量和末端攻击角度的要求,相比传统带落角约束制导律,具有一定的优越性。
For the guidance of attacking target on the convergence guidance strategies based on non- sigular ground with impact angle constraint, a finite- time fast sliding mode is proposed. The problems of singular points during guidance process have been avoided by introducing nonsingular terminal sliding mode surface. This guidance law has the characteristics of quick convergence. It can satisfy the impact angle constraint. The Lyapnov stability analysis shows that the characteristic of finite- time convergence and the expression of convergence time was given. Numerical simulation shows that the guidance law can rapid convergence, and can satisfy the requirements of missdistance and terminal impact angle constraint. Com- pared to the traditional guidance law, this guidance law has some certain advantages.