论文标题
F-16 MRAC验证的措施和LMI
Measures and LMIs for Lateral F-16 MRAC Validation
论文作者
论文摘要
职业措施和线性矩阵不等式（LMI）松弛（称为平方或套件层次结构的力矩总和）是航空航天中验证和验证（VV）的最新方法。在本文档中，我们将这些结果扩展到具有模型参考自适应控制（MRAC）的完整F-16闭环荷兰滚动多项式模型。这是通过一种新技术来完成的，该技术通过用简调利用稀疏的普通微分方程（ODE）来近似参考轨迹。然后，使用Moment LMI放松和现成的软件直接解决VV问题。然后将主要结果与使用传统的蒙特卡洛模拟获得的数值对应物进行比较。
Occupation measures and linear matrix inequality (LMI) relax-ations (called the moment sums of squares or Lasserre hierarchy) are state-of-the-art methods for verification and validation (VV) in aerospace. In this document, we extend these results to a full F-16 closed-loop nonlinear dutch roll polynomial model complete with model reference adaptive control (MRAC). This is done through a new technique of approximating the reference trajectory by exploiting sparse ordinary differential equations (ODEs) with parsimony. The VV problem is then solved directly using moment LMI relaxations and off-the-shelf-software. The main results are then compared to their numerical counterparts obtained using traditional Monte-Carlo simulations.
