论文标题
自适应控制验证的措施和LMI
Measures and LMIs for Adaptive Control Validation
论文作者
论文摘要
占用度量和线性矩阵不等式（LMI）放松（称为平方或曼格雷层次结构的力矩总和）以前已被用作解决控制法律验证和验证（VV）问题的一种手段。但是，这些方法仅限于相对简单的控制定律和有限数量的状态。在本文档中，我们将这些方法扩展到建模飞机行业典型的参考自适应控制（MRAC）配置。主要贡献是一种验证方案，可利用MRAC的特定非线性和结构。非线性F-16植物用于说明。将通过现成的软件解决的LMI松弛与传统的蒙特卡罗模拟进行了比较。
Occupation measures and linear matrix inequality (LMI) relax-ations (called the moment sums of squares or Lasserre hierarchy) have been used previously as a means for solving control law verification and validation (VV) problems. However, these methods have been restricted to relatively simple control laws and a limited number of states. In this document, we extend these methods to model reference adaptive control (MRAC) configurations typical of the aircraft industry. The main contribution is a validation scheme that exploits the specific nonlinearities and structure of MRAC. A nonlinear F-16 plant is used for illustration. LMI relaxations solved by off-the-shelf-software are compared to traditional Monte-Carlo simulations.
