东北大学学报（自然科学版）

东北大学学报:自然科学版 ›› 2014, Vol. 35 ›› Issue (9): 1217-1220.DOI: 10.12068/j.issn.1005-3026.2014.09.001

• 信息与控制 •    下一篇

一类具有执行器故障的马尔科夫跳跃系统容错控制

范泉涌，叶丹   

  1. (东北大学 信息科学与工程学院， 辽宁 沈阳110819)
  • 收稿日期:2013-11-27 修回日期:2013-11-27 出版日期:2014-09-15 发布日期:2014-04-11
  • 通讯作者: 范泉涌
  • 作者简介:范泉涌(1987-)，男，河南周口人，东北大学博士研究生；叶丹(1979-)，女，辽宁沈阳人，东北大学教授.
  • 基金资助:
    国家自然科学基金资助项目(61273155，61322312)；教育部新世纪人才支持计划项目(NCET-11-0083)；中央高校基本科研业务费专项资金资助项目(N120504003);霍英东教育基金资助项目(141060).

FaultTolerant Control for a Class of Markov Jump Systems with Actuator Failures

FAN Quanyong， YE Dan   

  1. School of Information Science & Engineering， Northeastern University， Shenyang 110819， China.
  • Received:2013-11-27 Revised:2013-11-27 Online:2014-09-15 Published:2014-04-11
  • Contact: YE Dan
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摘要： 研究一类转移概率部分已知马尔科夫跳跃线性系统的自适应容错控制问题.所考虑的转移概率情况更具一般性，即转移概率包括完全已知，未知但已知转移概率的上下界和完全未知三种情况.针对执行器失效故障，首先设计自适应故障估计器；而后，基于故障参数的估计值设计鲁棒补偿控制器，保证系统在发生执行器故障时的鲁棒稳定性.在处理未知转移概率时，采用自由权重的方法，以保证所得线性矩阵不等式条件具有更小的保守性.最后，数值仿真算例验证了所提方法的有效性.

关键词: 马尔科夫跳跃系统, 部分已知转移概率, 执行器故障, 自适应估计, 容错控制

Abstract: The problem of adaptive faulttolerant control was studied for a class of Markov jump linear systems with partly known transition probabilities. The considered transition probabilities were more general， in which the completely known case， partly unknown with known lower and upper bounds case and completely unknown case were all included. Firstly， the adaptive fault estimator was designed for actuator degradation. Then， based on the values estimated online， the robust controller with compensation effect was designed to guarantee the robust stability of the system with faults. At the same time， the freeconnection weighting matrix method was used to deal with the unknown transition probabilities so that the proposed sufficient conditions were less conservative. Finally， numerical example was given to demonstrate the effectiveness of the proposed method.

Key words: Markov jump system, partly known transition probabilities, actuator faults, adaptive estimation, faulttolerant control

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