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Flight control for air-breathing hypersonic vehicles using linear quadratic regulator design based on stochastic robustness analysis

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Abstract

The flight dynamics model of air-breathing hypersonic vehicles (AHVs) is highly nonlinear and multivariable coupling, and includes inertial uncertainties and external disturbances that require strong, robust, and high-accuracy controllers. In this paper, we propose a linear-quadratic regulator (LQR) design method based on stochastic robustness analysis for the longitudinal dynamics of AHVs. First, input/output feedback linearization is used to design LQRs. Second, subject to various system parameter uncertainties, system robustness is characterized by the probability of stability and desired performance. Then, the mapping relationship between system robustness and LQR parameters is established. Particularly, to maximize system robustness, a novel hybrid particle swarm optimization algorithm is proposed to search for the optimal LQR parameters. During the search iteration, a Chernoff bound algorithm is applied to determine the finite sample size of Monte Carlo evaluation with the given probability levels. Finally, simulation results show that the optimization algorithm can effectively find the optimal solution to the LQR parameters.

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Authors and Affiliations

  1. College of Astronautics, Northwestern Polytechnical University, Xi’an, 710072, China

    Lin Cao & Shuo Tang

  2. Shaanxi Aerospace Flight Vehicle Design Key Laboratory, Xi’an, 710072, China

    Dong Zhang

Authors
  1. Lin Cao
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  2. Shuo Tang
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  3. Dong Zhang
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Correspondence to Dong Zhang.

Additional information

Project supported by the National Natural Science Foundation of China (No. 11672235)

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Cao, L., Tang, S. & Zhang, D. Flight control for air-breathing hypersonic vehicles using linear quadratic regulator design based on stochastic robustness analysis. Frontiers Inf Technol Electronic Eng 18, 882–897 (2017). https://doi.org/10.1631/FITEE.1601363

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  • DOI: https://doi.org/10.1631/FITEE.1601363

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