引用本文:陈柏屹,刘燕斌,雷灏,沈海东,陆宇平.输入饱和及带宽限制下高超飞行器的闭环稳定边界研究[J].控制理论与应用,2016,33(11):1508~1518.[点击复制]
CHEN Bo-yi,LIU Yan-bin,LEI Hao,SHEN Hai-dong,LU Yu-ping.Stability boundary analysis of hypersonic vehicle with control saturation and bandwidth limitation[J].Control Theory and Technology,2016,33(11):1508~1518.[点击复制]
输入饱和及带宽限制下高超飞行器的闭环稳定边界研究
Stability boundary analysis of hypersonic vehicle with control saturation and bandwidth limitation
摘要点击 2521  全文点击 1393  投稿时间：2016-03-21  修订日期：2016-06-13
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DOI编号  10.7641/CTA.2016.60154
  2016,33(11):1508-1518
中文关键词  高超声速飞行器  零能控区域  输入饱和  滑模控制
英文关键词  hypersonic vehicle  null controllable region  control saturation  sliding mode control
基金项目  国家自然科学基金项目(61403191, 11572149), 江苏省自然科学基金项目(BK20130817), 中央高校基本科研业务费专项资金资助(NJ20160052), 江苏省研究生科研创新基金(KYLX 0281,KYLX15 0318)资助.
作者单位E-mail
陈柏屹 南京航空航天大学 chenboyi1989@nuaa.edu.cn 
刘燕斌* 南京航空航天大学 nuaa_liuyanbin@163.com 
雷灏 南京航空航天大学  
沈海东 南京航空航天大学  
陆宇平 南京航空航天大学  
中文摘要
      针对于吸气式高超声速飞行器开环不稳定的动力学特性, 研究了控制信号存在饱和约束及带宽限制条件 下的闭环稳定边界. 首先, 简要介绍了吸气式高超声速飞行器的建模方法与动力学特性的主要问题. 考虑到飞行器 控制信号的幅值限制及带宽约束, 综合高超声速飞行器的开环不稳定特性, 定量地分析了系统的闭环稳定边界: 与 系统不稳定极点的位置, 其对应的左特征向量及控制信号的幅值约束有关; 执行器的带宽限制在此基础上进一步 缩小了反馈控制系统的稳定边界. 根据高超声速飞行器短周期不稳定特性, 解析地给出了闭环稳定边界的计算公 式. 采用蒙特卡洛分析方法对闭环系统的稳定边界及滑模变结构控制器作用下的稳定区域进行验证. 仿真结果与 理论分析具有一致性, 验证了系统开环特性对于闭环稳定性的限制及控制信号带宽约束对稳定性的影响.
英文摘要
      In order to declare the stability of open-loop unstable air-breathing vehicles system with control saturation and bandwidth limitation, the stability boundary along with null controllable region of such system is investigated. First, the modeling approach of a air-breathing hypersonic vehicle and the main issues of control system design are briefly introduced. Second, Considering the control input constraints, the stability boundary is quantitatively defined, which depends on the location of unstable pole, its left eigenvector, and control saturation. Besides, the bandwidth limitation of actuators will reduce the stability region. The analytical expressions of null controllable boundary for short mode of the hypersonic vehicle is proposed. With Monte-Carlo analysis, the simulation results indicate that, the null controllable region for unstable system with specific control law is within the stability boundary, and the impact of bandwidth limitation of actuators shows the same with theoretical analysis, regardless of the control law. The stability of open-loop unstable system is extremely restricted with control saturation and bandwidth limitation.