航空学报 > 2014, Vol. 35 Issue (4): 948-956   doi: 10.7527/S1000-6893.2013.0491

基于时滞分割方法的火箭发动机燃烧过程有记忆反馈控制

惠俊军1,2, 张合新1, 周鑫1, 孔祥玉1, 李国梁1   

  1. 1. 第二炮兵工程大学 自动控制工程系, 陕西 西安 710025;
    2. 中国人民解放军96411部队, 陕西 宝鸡 721013
  • 收稿日期:2013-05-23 修回日期:2013-12-17 出版日期:2014-04-25 发布日期:2014-01-21
  • 通讯作者: 张合新,Tel.:029-84744329 E-mail:epzhx301@163.com E-mail:epzhx301@163.com
  • 作者简介:惠俊军男,博士研究生。主要研究方向:时滞系统的稳定性分析与鲁棒控制。Tel:029-84744329 E-mail:ep22stone@163.com;张合新男,博士,教授,博士生导师。主要研究方向:飞行器控制与测试。Tel:029-84744329 E-mail:epzhx301@163.com;周鑫男,博士,讲师。主要研究方向:网络化控制系统。Tel:029-84741843 E-mail:ascentor@163.com;孔祥玉男,博士,副教授。主要研究方向:复杂系统的故障诊断。Tel:029-84744954 E-mail:xiangyukong01@163.com;李国梁男,博士研究生。主要研究方向:网络化控制系统。Tel:029-84744329 E-mail:lison_1981@163.com
  • 基金资助:

    国家自然科学基金(61374120)

Delay-decomposition Approach to Memory State Feedback Controller for Stabilization of Combustion Process in Rocket Motors

HUI Junjun1,2, ZHANG Hexin1, ZHOU Xin1, KONG Xiangyu1, LI Guoliang1   

  1. 1. Department of Automatic Control Engineering, The Second Artillery Engineering University, Xi'an 710025, China;
    2. No.96411 Unit, People's Liberation Army of China, Baoji 721013, China
  • Received:2013-05-23 Revised:2013-12-17 Online:2014-04-25 Published:2014-01-21
  • Supported by:

    National Natural Science Foundation of China (61374120)

摘要:

液体火箭发动机燃烧室内燃烧过程的动态模型是一不稳定的时滞系统,为了改善闭环系统燃烧的稳定性,针对燃烧室的燃烧过程设计了有记忆状态反馈控制器。首先基于时滞分割方法,通过平均分割时滞区间构造了适当的 Lyapunov-Krasovskii (L-K) 泛函并结合积分不等式处理方法,建立了保守性更低的稳定性判据;其次在稳定性判据的基础上,设计了有记忆反馈控制器。该方法通过求解线性矩阵不等式(LMI)的可行解得到控制器的参数化表达式。仿真结果表明,该方法扩大了系统稳定的最大时滞上界范围,具有更低的保守性,同时控制器的镇定性能相比现有文献有一定的提高。

关键词: 火箭发动机, 燃烧, Lyapunov-Krasovskii泛函, 时滞分割, 线性矩阵不等式

Abstract:

The dynamical model of combustion in liquid propellant rocket motors is an unstable time-delay system. In order to improve the combustion stability of the closed-loop system, this paper investigates the memory state feedback control for the combustion process in a liquid propellant rocket motor chamber. Firstly, based on the delay-decomposition approach, a new appropriate Lyapunov-Krasovskii (L-K) functionality is introduced, and it is combined with the integral inequality method to deal with the cross-terms; thus a less conservative stability criterion is developed, based on which, a memory state feedback controller is designed. The parameterized expression of the controller is obtained by providing the feasible solution of linear matrix inequality (LMI). Simulation results show that the proposed criterion has enlarged the upper bound of the time-delay and it is less conservative. Moreover, the designed controller has better performance than those reported in existing literature.

Key words: rocket motors, combustion, Lyapunov-Krasovskii functionality, delay-decomposition, linear matrix inequality

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