基于有限时间稳定和Backstepping的直接力/气动力复合控制方法

Research on Method of Lateral Jet and Aerodynamic Fins Compound Control Based on Finite Time Stability and Backstepping Approach

针对采用直接力/气动力复合控制的导弹,研究其控制系统的设计问题。将直接力引入控制系统,在提高系统响应速度的同时,也使控制系统的结构复杂化。如何合理的设计控制方法,使得直接力和气动力能够协调工作、优势互补成为一个亟待解决的问题。针对气动舵控制回路,基于有限时间稳定理论,求解最短时间控制问题,得到一个具有良好特性的受控弹体;针对此受控弹体,基于Backstepping方法,研究直接力控制律,加快系统的响应速度。在整个控制系统设计过程中,通过"隐攻角"反馈对弹体进行增稳,进一步改善系统的响应品质,使控制系统达到"稳、准、快"的控制效果。仿真结果表明,复合控制系统的响应过程快速且平稳,验证了控制方法的有效性。

For the missile controlled by the combination of lateral jet thrusters and aerodynamic fins,the control system is designed.The lateral jet thrusters can improve the response speed,but the structure of control system becomes more complex.Therefore,how to design control strategy properly is a urgent problem.For the aerodynamic fins controlled loop,a missile object with good performance is obtained by solving a minimum time control problem based on the concept of finite time stability.Futhermore,the lateral jet control law based on the backstepping approach is studied,and the control system with faster response can be achieved.In the whole process of design,the response property of the system is improved by adding an‘implicit angle-of-attack’feedback.Finally,the effectiveness of the proposed approach is validated by numerical simulation.