Skip to Main content Skip to Navigation
Journal articles

Sum-of-squares Flight Control Synthesis for Deep-stall Recovery

Abstract : Certification of inflight loss-of-control recovery is complicated by the highly nonlinear flight dynamics beyond stall. In lieu of extensive Monte-Carlo simulations for flight control certification, sum-of-squares programming techniques provide an algebraic approach to the problem of nonlinear control synthesis and analysis. However, reliance on polynomial models has hitherto limited applicability to aeronautical control problems. Taking advantage of recently proposed piecewise polynomial models, this paper revisits sum-of-squares techniques for recovery of an aircraft from deep-stall conditions using a realistic yet tractable aerodynamic model. Local stability analysis of classical controllers is presented as well as synthesis of polynomial feedback laws with the objective of enlarging their nonlinear region of attraction. A newly developed synthesis algorithm for infinite-horizon backwards-reachability facilitates the design of recovery control laws, ensuring stable recovery by design. The paper's results motivate future research in aeronautical sum-of-squares applications.
Document type :
Journal articles
Complete list of metadata

Cited literature [32 references]  Display  Hide  Download
Contributor : Torbjørn Cunis <>
Submitted on : Friday, March 6, 2020 - 2:57:35 AM
Last modification on : Tuesday, March 16, 2021 - 3:20:07 PM
Long-term archiving on: : Sunday, June 7, 2020 - 1:32:00 PM


Files produced by the author(s)




Torbjørn Cunis, Jean-Philippe Condomines, Laurent Burlion. Sum-of-squares Flight Control Synthesis for Deep-stall Recovery. Journal of Guidance, Control, and Dynamics, American Institute of Aeronautics and Astronautics, 2020, 43 (8), pp.1498-1511. ⟨10.2514/1.G004753⟩. ⟨hal-02390125v2⟩



Record views


Files downloads