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A dynamic games approach to H ∞ control design of DoS with application to longitudinal flight control

Delta 域 H-infinity 控制器设计及其在高超声速飞行器纵向模型中的应用: 一种动态博弈方法

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Abstract

In this paper, a game theoretic approach to develop H ∞ control strategies for the Delta Operator System (DoS) is proposed. Two information patterns for the controller are considered and the conditions are presented in terms of iterative Riccati recursions. By using the delta operator, the calculation stiffness of the discrete system can be circumvented when the sampling frequency is extremely high. The proposed method is applied to the longitudinal flight control of the hypersonic flying vehicle and the effectiveness is verified by the experimental results.

摘要

本文提出了一种利用动态博弈在 delta 域设计 H-infinity 控制器的方法. 针对不同的信息集合, 作者提出了两种不同的 H-infinity 控制器并给出了求解控制器的黎卡提方程. 利用 delta 算子可以有效避免采样频率过高引起的病态问题. 文章所提方法被应用于高超声速飞行器纵向模型的控制中并收到了较好的效果.

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Authors and Affiliations

  1. Department of Mathematics, City University of Hong Kong, Hong Kong, China

    Yuan Yuan

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  1. Yuan Yuan
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Correspondence to Yuan Yuan.

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Yuan, Y. A dynamic games approach to H ∞ control design of DoS with application to longitudinal flight control. Sci. China Inf. Sci. 58, 1–10 (2015). https://doi.org/10.1007/s11432-015-5379-6

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  • DOI: https://doi.org/10.1007/s11432-015-5379-6

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