上海交通大学学报

上海交通大学学报（自然版） ›› 2011, Vol. 45 ›› Issue (08): 1176-1180.

• 自动化技术、计算机技术 • 上一篇    下一篇

带有多个状态滞后的连续系统正实控制

马敬伟1，赵红超1，张向龙2   

  1. （1.海军航空工程学院703教研室，山东 烟台 264001；2.海军驻绵阳地区特种装置代表室，四川 绵阳 621900）
  • 收稿日期:2011-04-22 出版日期:2011-08-30 发布日期:2011-08-30
  • 基金资助:

    国家自然科学基金资助项目（60774016）

Positive Real Control for Continuous System with Multiple State-Delays

 MA  Jing-Wei-1, ZHAO  Hong-Chao-1, ZHANG  Xiang-Long-2   

  1. （1. Faculty 703, Naval Aeronautical and Astronautical University, Yantai 264001, China;2. Naval Delegate Room of Special Equipment in Mianyang, Mianyang 621900, China）
  • Received:2011-04-22 Online:2011-08-30 Published:2011-08-30

摘要： 针对以往研究的连续系统中没有同时考虑多个状态滞后和执行器故障的情况，对带有多个状态滞后的连续系统进行了研究.通过理论分析得出了这类系统渐近稳定且扩展严格正实的充分条件.在此基础上，对这类系统存在不确定性和执行器故障的情况进行了研究.结果表明，所设计的正实控制器能够保证闭环系统对容许不确定性及执行器故障都是渐近稳定和扩展严格正实的.同时，通过实例分析，说明所提出的正实控制器设计方法可行且有效.

关键词:  , 状态滞后, 执行器故障, 扩展严格正实, 正实控制器

Abstract: The conditions of multiple state-delays and actuator failures weren’t simultaneously considered in former research. The continuous system with multiple state-delays was researched. The sufficient condition that this class of system is asymptotically stable and extendedly strictly positive real was deduced by theoretical analysis. On the basis of it, this class of system with uncertainties and actuator failures was researched, and a positive real controller was designed. It ensured that the close-loop system is asymptotically stable and extendedly strictly positive real against facultative uncertainties and actuator failures. Simultaneity, an example was analyzed to show that the proposed design approach of positive real controller is feasible and effective.
 

Key words: state-delays, actuator failures, extendedly strictly positive real, positive real controller

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