2020/03/25 by Daniel Wagner, Didier Henrion, Wagner, Daniel +3
Computer Science · Engineering · Mathematics · Psychology · #Artificial intelligence #Computer science #Control (management) #Control Systems and Identification #Control theory (sociology) #FOS: Electrical engineering #FOS: Mathematics #Fault Detection and Control Systems #Geology #Optimization and Control (math.OC) #Psychology #Real-time simulation and control systems #Systems and Control (eess.SY) #cs.SY #eess.SY #electronic engineering #information engineering #math.OC
paper · pdf · doi:10.48550/arxiv.2003.11292
arxiv created 2020/03/25 · openalex publication_date 2020/03/25 · arxiv updated 2020/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.