Aframework based on the gap metric is proposed to validate mathematical models of aircraft dynamics using flight data. The approach derives stability margin requirements, and hence is ideally suited to support model-based design and certification of flight control algorithms. This paper shows that the gap metric is an extension of the Theil inequality coefficient: A widely used metric for model validation. The approach is demonstrated on a case study with a small unmanned aircraft.
Bibliographical noteFunding Information:
This work was partially supported by the NASA grant NNX12AM55A entitled “Analytical Validation Tools for Safety Critical Systems Under Loss-of-Control” monitored by Christine Belcastro; and by the National Science Foundation under grant 0931931 entitled “CPS: Embedded Fault Detection for Low-Cost, Safety-Critical Systems”. Any opinions, findings, and conclusions or recommendations expressed are those of the authors and do not necessarily reflect the views of NASA or the National Science Foundation.