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针对传统最优末制导律鲁棒性较差,对外扰及参数摄动敏感等不足,提出一种基于二阶滑模控制技术的鲁棒最优末制导律设计方案。首先以俯冲平面上的末制导律设计为例,设计二阶滑模控制以实现滑动模态及其导数在有限时间内收敛。然后考虑系统存在不满足匹配性条件的参数不确定性和外部扰动,利用基于自适应的super-twisting算法设计不连续项,以保证所设计的二阶滑模最优末制导律的连续性。最后基于Lyapunov的稳定性理论证明及仿真结果均表明,所设计的末制导方案具有很高的命中精度及较强的鲁棒性。
Aiming at the shortcomings of the traditional optimal final guidance law, such as poor robustness, disturbance to external disturbance and parameter perturbation, a robust optimal final guidance law design scheme based on the second-order sliding mode control is proposed. First, taking the terminal guidance law design on the subduction plane as an example, the second-order sliding mode control is designed to achieve the sliding mode and the derivative convergence within a finite time. Then, considering the existence of parameter uncertainty and external perturbation, the adaptive super-twisting algorithm is used to design the discontinuous term to ensure the continuity of the optimal final guidance law of the designed second-order sliding mode. Finally, the stability theory based on Lyapunov and the simulation results show that the designed final guidance scheme has high accuracy and strong robustness.