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

Armin Ataei-Esfahani, Wang Qian

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

34 Scopus citations


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
Number of pages6
StatePublished - Dec 1 2007
Event2007 American Control Conference, ACC - New York, NY, United States
Duration: Jul 9 2007Jul 13 2007

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619


Other2007 American Control Conference, ACC
Country/TerritoryUnited States
CityNew York, NY

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering


Dive into the research topics of 'Nonlinear control design of a hypersonic aircraft using sum-of-squares method'. Together they form a unique fingerprint.

Cite this