基于二阶滑模的鲁棒最优末制导律设计

Robust Optimal Terminal Guidance Law Design Based on Second-order Sliding Mode Control

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。

A robust optimal terminal guidance law for vehicle based on second - order sliding mode control is proposed which can solve the problems of optimal guidance law such as weak robustness, vulnerable to disturbance and parameter perturbation induced by the non -matching disturbance existing in relative kinetic equation. Firstly, second -order sliding mode control is designed to guarantee finite - time - convergence of the sliding mode and its derivative, secondly, adaptive super - twisting algorithm is used for re - constructing the non - continuous item in order to ensure continuity of the proposed second - order sliding mode scheme. Stability theoretic proof based on Lyapunov theorem and the simulation results show that the proposed guidance law can ensure higher guidance precision and strong robustness.