弹性高超声速飞行器多胞鲁棒变增益控制

摘要

The existing method for designing of a flexible hypersonic vehicle control system have high computational complexity for handling the changes in flight parameters in wide envelopes and do not take into enough consideration its structural elastic effect. Hence we design a polytopic robust variable gain controller based on the tensor-product model transform and the feedback of measurable rigid state parameters. The controller uses the tensor-product model transform to obtain the polytopic model of the hypersonic vehicle and then uses the linear matrix inequality to solve its polytopic robust variable gain controller. To simplify the structure of the controller and reduce the number of its orders, we treat the elastic modal as external disturbance and then design the controller with the feedback of meas-urable rigid state parameters. The simulation results, given in Figs. 2,3 and 4, and their anslysis show preliminarily that the controller thus designed can effectively track the reference command and ensure that the hypersonic vehicle has stable elastic modals in wide envelopes.%现有的高超声速飞行器控制系统设计方法在处理大包线飞行参数变动时计算复杂度较高，且较少考虑结构弹性的影响。针对上述问题，提出了一种基于张量乘积（ TP ）模型转换和可测状态反馈的多胞鲁棒变增益控制方法。其首先使用TP模型转换方法获取系统的多胞模型，然后基于线性矩阵不等式求解系统的多胞鲁棒变增益控制器。在求取控制器时，为简化控制器结构及降低控制器阶数，将弹性模态视为外部干扰，仅通过实际可测的刚体状态参数作为反馈量来设计控制器。仿真结果表明，所设计的多胞鲁棒变增益控制器可实现参考指令的有效跟踪，并保证整个包线范围内弹性模态稳定。