Nonlinear control design of a hypersonic aircraft using sum-of-squares method

Armin Ataei-Esfahani, Qian Wang

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    33 Citations (Scopus)

    Abstract

    The main focus of this paper is on developing a nonlinear controller for a hypersonic aircraft using the Sum-Of-Squares (SOS) approach. In particular, the longitudinal dynamics of the aircraft are studied using time-scale decomposition, where the fast dynamics consist of the pitch rate dynamics and the slow dynamics include the rest of the states. For the slow dynamics, the SOS technique is applied for control design, which uses the pilot commanded altitude and velocity as inputs to derive engine throttle and a commanded pitch rate. The SOS controller is designed by following recent results on the dual problem of the Lyapunov theorem, which allows the joint search of a Lyapunov function and a nonlinear controller using semidefinite programs. Then, the commanded pitch rate derived from the slow dynamics is fed into the fast dynamics and a simple inversion of the pitch rate dynamics is used to derive the elevator deflection. Simulation results are presented to evaluate the stability and performance of the controller, as well as the robustness with respect to the parameter uncertainties in aerodynamic coefficients. The results are also compared with those generated by a controller designed using Nonlinear Dynamics Inversion (NDI) for both time scales.

    Original languageEnglish (US)
    Title of host publicationProceedings of the 2007 American Control Conference, ACC
    Pages5278-5283
    Number of pages6
    DOIs
    StatePublished - Dec 1 2007
    Event2007 American Control Conference, ACC - New York, NY, United States
    Duration: Jul 9 2007Jul 13 2007

    Other

    Other2007 American Control Conference, ACC
    CountryUnited States
    CityNew York, NY
    Period7/9/077/13/07

    Fingerprint

    Hypersonic vehicles
    Controllers
    Elevators
    Lyapunov functions
    Robustness (control systems)
    Aerodynamics
    Aircraft
    Engines
    Decomposition

    All Science Journal Classification (ASJC) codes

    • Electrical and Electronic Engineering

    Cite this

    Ataei-Esfahani, A., & Wang, Q. (2007). Nonlinear control design of a hypersonic aircraft using sum-of-squares method. In Proceedings of the 2007 American Control Conference, ACC (pp. 5278-5283). [4282934] https://doi.org/10.1109/ACC.2007.4282934
    Ataei-Esfahani, Armin ; Wang, Qian. / Nonlinear control design of a hypersonic aircraft using sum-of-squares method. Proceedings of the 2007 American Control Conference, ACC. 2007. pp. 5278-5283
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    Ataei-Esfahani, A & Wang, Q 2007, Nonlinear control design of a hypersonic aircraft using sum-of-squares method. in Proceedings of the 2007 American Control Conference, ACC., 4282934, pp. 5278-5283, 2007 American Control Conference, ACC, New York, NY, United States, 7/9/07. https://doi.org/10.1109/ACC.2007.4282934

    Nonlinear control design of a hypersonic aircraft using sum-of-squares method. / Ataei-Esfahani, Armin; Wang, Qian.

    Proceedings of the 2007 American Control Conference, ACC. 2007. p. 5278-5283 4282934.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

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    Ataei-Esfahani A, Wang Q. Nonlinear control design of a hypersonic aircraft using sum-of-squares method. In Proceedings of the 2007 American Control Conference, ACC. 2007. p. 5278-5283. 4282934 https://doi.org/10.1109/ACC.2007.4282934