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CEAS EuroGNC 2024

Enhanced Estimation of Region of Attraction Using Union Theorem in Sum-of-Squares Optimization for Longitudinal Stability Analysis
Bhaskar Biswas P.h.D Student, Cranfield University, School of Aerospace, Transport and Manufacturing, MK43 0AL, Cranfield, U.K..
Dmitry Ignatyev Senior Research Fellow, Cranfield University, School of Aerospace, Transport and Manufacturing, MK43 0AL, Cranfield, U.K..
Argyrios Zolotas Professor, Cranfield University, School of Aerospace, Transport and Manufacturing, MK43 0AL, Cranfield, U.K..
Antonios Tsourdos Professor, Cranfield University, School of Aerospace, Transport and Manufacturing, MK43 0AL, Cranfield, U.K..
Abstract:
The Region-of-Attraction (ROA) is vital in determining a safe flight envelope and issuing flight control system safety certificates. Sum-of-Squares (SOS) optimization is a numerical method for estimating ROA in polynomial dynamical systems. However, it suffers from conservative estimations. This paper presents an innovative application of the Union Theorem within SOS optimization to significantly enhance ROA estimation. It focuses on ROA estimation for the polynomial dynamics governing aircraft short-period mode, evidencing enhanced safety margins. Extensive simulations performed for the Generic Transport Model (GTM) illustrate the efficacy of the proposed approach as a strong candidate for improving ROA analysis and facilitating future flight control clearance.
Keywords: Region of Attraction; Sum-of-Squares Optimization; Union Theorem; Generic Transport Model Aircraft; Short Period
 View PDF CEAS-GNC-2024-067


Bhaskar Biswas, Dmitry Ignatyev, Argyrios Zolotas, Antonios Tsourdos: Enhanced Estimation of Region of Attraction Using Union Theorem in Sum-of-Squares Optimization for Longitudinal Stability Analysis. Proceedings of the 2024 CEAS EuroGNC conference. Bristol, UK. June 2024. CEAS-GNC-2024-067.
BibTeX entry:

@Incollection{CEAS-GNC-2024-067,
    author = {Biswas, Bhaskar and Ignatyev, Dmitry and Zolotas, Argyrios and Tsourdos, Antonios},
    title = {Enhanced Estimation of Region of Attraction Using Union Theorem in Sum-of-Squares Optimization for Longitudinal Stability Analysis},
    booktitle = {Proceedings of the 2024 {CEAS EuroGNC} conference},
    address = {Bristol, UK},
    month = jun,
    year = {2024},
    note = {CEAS-GNC-2024-067}
}