弹道可调的落角约束分数阶滑模制导律设计
收稿日期: 2022-02-24
修回日期: 2022-03-22
录用日期: 2022-06-05
网络出版日期: 2022-06-17
Fractional order sliding mode guidance law design with trajectory adjustable and terminal angular constraint
Received date: 2022-02-24
Revised date: 2022-03-22
Accepted date: 2022-06-05
Online published: 2022-06-17
盛永智 , 甘佳豪 , 张成新 . 弹道可调的落角约束分数阶滑模制导律设计[J]. 航空学报, 2023 , 44(7) : 327073 -327073 . DOI: 10.7527/S1000-6893.2022.27073
A time-varying sliding mode guidance law based on fractional calculus is presented for the terminal guidance problem with corner constraint. The guidance trajectory can be adjusted in advance by setting parameters，and the introduction of fractional order increases the variability and diversity of the guidance trajectory. The stability of the guidance law is proved by using the Lyapunov stability theory. Through the fractional order integral mean value theorem，the fractional order differential equation is transformed into a first-order linear differential equation，which is used to solve the analytical formula of state error. Finally，the convergence of the guidance law is proved by using the Squeeze Theorem. The simulation results show that the guidance law can change the trajectory form in a large range while ensuring high guidance accuracy，which makes the guidance trajectory complex and difficult to predict.
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