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**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.

### MSC:

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) |

### Keywords:

hypersonic flight vehicle; linearly parameterized form; dynamic surface control; input saturation
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\textit{B. Xu} et al., Asian J. Control 16, No. 1, 162--174 (2014; Zbl 1286.93058)

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### References:

[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) |

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