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Dynamic decoupling tracking control for the polytopic LPV model of hypersonic vehicle

基于高超声速飞行器多胞 LPV 模型的动态解耦跟踪控制

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Abstract

The dynamic decoupling problem of the hypersonic flight vehicle (HFV) is considered in this paper. The Linear Parameter-Varying (LPV) model of the HFV is firstly obtained and smoothly transformed into a polytopic form by the Tensor-Product (TP) model transformation method. After that, a dynamic decoupling control method is derived by minimizing the H ∞ norm of a virtual system, which is composed by the controlled system and the no coupling reference model. The necessary and sufficient condition for the existence of the controller is derived based on Linear Matrix Inequalities (LMIs). Next, the decoupling controller for the polytopic LPV model of HFV is designed. And the simulation results show that the proposed method has perfect performance in terms of dynamic decoupling.

抽象

创新点

本文考虑的是高超声速飞行器的动态解耦问题. 首先建立了高超声速飞行器的线性参变模型, 采用张量积模型转换法将其转换为多胞形式.

然后, 将该被控对象与待求控制器组成的闭环系统和一个无耦合的参考模型组成一个虚拟系统, 通过最小化该虚拟系统的 H 无穷范数来求解动态解耦跟踪控制器, 并用线性矩阵不等式的形式给出了存在该控制器的充分必要条件. 最后, 利用提出的定理求得具有相同多胞形式的解耦控制器, 并且针对飞行轨迹中具体的一点进行耦合度和跟踪性能的分析, 结果表明本文提出的方法在动态解耦方面有非常好的效果.

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Authors and Affiliations

  1. National Key Laboratory of Science and Technology on Multispectral Information Processing, School of Automation, Huazhong University of Science and Technology, Wuhan, 430074, China

    XueJing Lan, YongJi Wang & Lei Liu

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  1. XueJing Lan
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  2. YongJi Wang
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  3. Lei Liu
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Correspondence to YongJi Wang.

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Lan, X., Wang, Y. & Liu, L. Dynamic decoupling tracking control for the polytopic LPV model of hypersonic vehicle. Sci. China Inf. Sci. 58, 1–14 (2015). https://doi.org/10.1007/s11432-015-5339-1

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