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Robust adaptive dynamic surface control design for a flexible air-breathing hypersonic vehicle with input constraints and uncertainty

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Abstract

The flight control problem of a flexible air-breathing hypersonic vehicle is presented in the presence of input constraint and aerodynamic uncertainty. A control-oriented model, where aerodynamic uncertainty and the strong couplings between the engine and flight dynamics are included, is derived to reduce the complexity of controller design. The flexible dynamics are viewed as perturbations of the model. They are not taken into consideration at the level of control design, the influence of which is evaluated through simulation. The control-oriented model is decomposed into velocity subsystem and altitude subsystem, which are controlled separately. Then robust adaptive controller is developed for the velocity subsystem, while the controller which combines dynamic surface control and radial basis function neural network is designed for the altitude subsystem. The unknown nonlinear function is approximated by the radial basis function neural network. Minimal-learning parameter technique is utilized to estimate the maximum norm of ideal weight vectors instead of their elements to reduce the computational burden. To handle input constraints, additional systems are constructed to analyze their impact, and the states of the additional systems are employed at the level of control design and stability analysis. Besides, “explosion of terms” problem in the traditional backstepping control is circumvented using a first-order filter at each step. By means of Lyapunov stability theory, it is proved theoretically that the designed control law can assure that tracking error converges to an arbitrarily small neighborhood around zero. Simulations are performed to demonstrate the effectiveness of the presented control scheme in coping with input constraint and aerodynamic uncertainty.

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Acknowledgments

The authors would like to greatly appreciate the editor and all anonymous reviewers for their comments, which help to improve the quality of this paper. This work was supported in part by the National Natural Science Foundation of China (61203012 and 61273092), Key Grant Project of Chinese Ministry of Education (311012), Tianjin Basic Research Key Foundation (11JCZDJC25100), and Aeronautical Science Foundation of China (20125848004) Supported by Science and Technology on Aircraft Control Laboratory. It was also supported by the Tianjin Key Laboratory of Process Measurement and Control (TKLPMC-201315) Independent Innovation Fund of Tianjin University (2013XQ-0022).

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  1. Department of Electrical Engineering and Automation, Tianjin University, Tianjin , 300072, China

    Qun Zong, Fang Wang, Bailing Tian & Rui Su

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  1. Qun Zong
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Correspondence to Fang Wang.

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Zong, Q., Wang, F., Tian, B. et al. Robust adaptive dynamic surface control design for a flexible air-breathing hypersonic vehicle with input constraints and uncertainty. Nonlinear Dyn 78, 289–315 (2014). https://doi.org/10.1007/s11071-014-1440-z

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