应用保护映射理论的高超声速飞行器自适应控制律设计

针对高超声速飞行器包线范围广、参数变化大的控制需求,应用保护映射理论提出一种高超声速飞行器的自适应控制律设计方法。首先建立整个飞行包线内的线性变参数(LPV)模型,在参数变化边界点设计一个初始的控制结构和参数,然后基于保护映射理论分析初始控制结构使闭环系统稳定的参数范围,通过迭代自动获取整个包线内满足性能指标的控制参数,进而通过多项式拟合设计出高超声速飞行器自适应控制律。所提出的方法能够根据初始控制结构自动寻找一系列满足性能要求的控制器参数,并确定这些控制参数满足闭环系统稳定的设计范围。仿真结果表明,所设计的自适应控制律能够确保高超声速飞行器大包线的设计要求,实现闭环系统的鲁棒稳定。

Adaptive control law design using guardian maps theory for hypersonic vehicles

An adaptive control law design approach using the guardian maps theory is proposed for hypersonic vehicles over the control requirements of a broad flight envelope and wide parameter variation range. Firstly, a linear parameter varying (LPV) model throughout the whole flight envelope is established, and an initial controller structure and parameter are designed at the boundary of the parameters variation range. Secondly, the parameter change range of the initial controller structure is analyzed so as to ensure the system stability; furthermore, based on the guardian maps theory, the corresponding controller parameters can be automatically obtained in relation to the expected performance criterion over the whole flight envelope by the step-by-step iteration. Besides this, the complete adaptive control law is acquired with the integration of these obtained control parameters by applying the curve-fitting mean. The proposed method is able to automatically search a set of controller parameters meeting the performance criterion in the whole flight envelope according to the initial controller, and at the same time to determine the design range guaranteeing global stability of the closed-loop system. Simulation results show that the designed adaptive control law can drive this close system to reach the anticipated design requirements for hypersonic vehicles and also to ensure robust stability of the whole closed-loop system.