Dynamic surface control of constrained hypersonic flight models with parameter estimation and actuator compensation. (English) Zbl 1286.93058

Summary: In this paper, the robust adaptive controller is investigated for the longitudinal dynamics of a generic hypersonic flight vehicle. The proposed methodology addresses the issue of controller design and stability analysis with respect to parametric model uncertainty and input saturations for the control-oriented model. The velocity and attitude subsystems are transformed into linearly parameterized form. Based on the parameter projection estimation, a dynamic inverse control is proposed via the back-stepping scheme. In order to avoid the problem of “explosion of complexity”, by introducing a first-order filtering of the synthetic input at each step, the dynamic surface control is designed. The closed-loop system achieves uniform ultimately bounded stability. The compensation design is employed when input saturations occur. Simulation results show that the proposed approach achieves good tracking performance.


93B35 Sensitivity (robustness)
93C40 Adaptive control/observation systems
93E10 Estimation and detection in stochastic control theory
93E15 Stochastic stability in control theory
93A30 Mathematical modelling of systems (MSC2010)
Full Text: DOI


[1] Schmidt , D. Dynamics and Control of Hypersonic Aeropropulsive/Aeroelastic Vehicles 1992
[2] Schmidt, Optimum mission performance and multivariable flight guidance for airbreathing launch vehicles, J. Guid. Control Dyn. 20 (6) pp 1157– (1997) · Zbl 0900.93283
[3] Gibson, American Control Conference pp 3178– (2009)
[4] Xu, Adaptive sliding mode control design for a hypersonic flight vehicle, J. Guid. Control Dyn. 27 (5) pp 829– (2004)
[5] Shaughnessy , J. S. Pinckney J. McMinn C. Cruz M. Kelley Hypersonic vehicle simulation model: Winged-Cone configuration 1990
[6] Marrison, Design of Robust Control Systems for a Hypersonic Aircraft, J. Guid. Control Dyn. 21 (1) pp 58– (1998) · Zbl 0908.93045
[7] Wang, Robust nonlinear control of a hypersonic aircraft, J. Guid. Control Dyn. 23 (4) pp 577– (2000)
[8] Rehman, Uncertainty modeling and robust minimax LQR control of multivariable nonlinear systems with application to hypersonic flight, Asian J. Control 4 (5) pp 1180– (2012) · Zbl 1303.93072
[9] Gao, Fuzzy tracking control design for hypersonic vehicles via TS model, SCIENCE CHINA Information Sciences 54 (3) pp 521– (2011) · Zbl 1227.93064
[10] Kokotovic, The Joy of Feedback: Nonlinear and Adaptive: 1991 Bode Prize Lecture, IEEE Control Syst. Mag. 12 pp 7– (1991)
[11] Gao, Dynamic inversion control for a class of pure-feedback systems, Asian J. Control 14 (2) pp 605– (2012) · Zbl 1286.93075
[12] Xu, Adaptive discrete-time controller design with neural network for hypersonic flight vehicle via back-stepping, Int. J. Control 84 (9) pp 1543– (2011) · Zbl 1230.93047
[13] Xu, Adaptive Kriging controller design for hypersonic flight vehicle via back-stepping, IET Contr. Theory Appl. 6 (4) pp 487– (2012)
[14] Xu, Direct Neural Hypersonic Flight Control, Nonlinear Dyn. 70 (1) pp 269– (2012) · Zbl 1267.93088
[15] Xu, Adaptive neural control based on HGO for hypersonic flight vehicles, SCIENCE CHINA Information Sciences 54 (3) pp 511– (2011) · Zbl 1227.93062
[16] Fiorentini, American Control Conference pp 3458– (2008)
[17] Williams , T. M. Bolender D. Doman O. Morataya An aerothermal flexible mode analysis of a hypersonic vehicle AIAA Atmospheric Flight Mechanics Conference and Exhibit 2006
[18] Fiorentini, Nonlinear robust adaptive control of flexible air-breathing hypersonic vehicles, J. Guid. Control Dyn. 32 (2) pp 401– (2009)
[19] Wang, Neural network-based adaptive dynamic surface control for a class of uncertain nonlinear systems in strict-feedback form, IEEE Tran. Neural Netw. 16 (1) pp 195– (2005)
[20] Gao, IEEE Int. Conf. on. Automation and Logistics pp 2314– (2007)
[21] Butt, IEEE Int. Conf. on. Decision and Control (CDC) pp 3632– (2010)
[22] Butt, Adaptive dynamic surface control of a hypersonic flight vehicle with improved tracking, Asian J. Control 15 (2) (2013) · Zbl 1327.93242
[23] Parker, Contorl-oriented modeling of an air-Breathing hypersonic vehicle, J. Guid. Control Dyn. 30 (3) pp 856– (2007)
[24] Farrell, Backstepping-based flight control with adaptive function approximation, J. Guid. Control Dyn. 28 (6) pp 1089– (2005)
[25] Farrell, On-line approximation based control of uncertain nonlinear systems with magnitude, rate and bandwidth constraints on the states and actuators, American Control Conference pp 2557– (2004)
[26] Sonneveldt, Nonlinear adaptive trajectory control applied to an F-16 model, J. Guid. Control Dyn. 32 (1) pp 25– (2009)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.