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