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中国工业与应用数学学会会刊
主管：中华人民共和国教育部
主办：西安交通大学
ISSN 1005-3085  CN 61-1269/O1
工程数学学报

工程数学学报 ›› 2015, Vol. 32 ›› Issue (2): 174-184.doi: 10.3969/j.issn.1005-3085.2015.02.002

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一类多输入模糊双线性系统的输出反馈容错控制

于  洋,   王  巍   

  1. 辽宁工业大学电气学院，锦州 121001
  • 收稿日期:2013-09-05 接受日期:2014-12-15 出版日期:2015-04-15 发布日期:2015-06-15
  • 基金资助:
    辽宁省教育厅科学研究项目 (L2013244).

Fault-tolerant Output Feedback Control for a Class of Multiple Input Fuzzy Bilinear Systems

YU Yang,   WANG Wei   

  1. School of Electrical Engineering, Liaoning University of Technology, Jinzhou 121001
  • Received:2013-09-05 Accepted:2014-12-15 Online:2015-04-15 Published:2015-06-15
  • Supported by:
    The Scientific Research Fund of Education Department of Liaoning Province (L2013244). 

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摘要： 本文针对一类多输入模糊双线性系统，在系统的状态不完全可测的情况下，提出一种模糊容错控制方法．首先，我们设计模糊检测观测器检测系统是否发生故障．再基于检测观测器，设计模糊控制器保证未发生故障的系统渐近稳定．然后，在系统发生故障的情况下，设计自适应模糊诊断观测器对故障进行估计，给出故障诊断的算法．最后，根据估计出的故障，进行故障调节，设计容错控制器．基于Lyapunov稳定性理论，证明所设计的容错控制器可以保证系统在发生故障的情况下，仍能保证故障系统的渐进稳定性．仿真证明了所提控制算法的有效性．

关键词: 模糊双线性系统, 模糊容错控制, 模糊检测观测器, 模糊自适应诊断观测器, 故障调节

Abstract:

In this paper, a fuzzy fault-tolerant control approach is proposed for a class of multiple input fuzzy bilinear systems with unmeasurable states. First of all, a fuzzy detective observer is designed to detect the fault. Based on the developed detective observer, a fuzzy controller is proposed to guarantee the closed-loop system without faults is asymptotically stable. Then, a fuzzy adaptive diagnostic observer is developed to estimate the fault. Finally, the fault estimation is applied to fault accommodation and a fault-tolerant controller is designed. Based on Lyapunov stability, it is proved that the fault-tolerant controller ensures the closed-loop system with faults is asymptotically stable. An example is presented to show the effectiveness of the proposed control method.

Key words: fuzzy bilinear systems, fuzzy fault-tolerant control, fuzzy detective observer, fuzzy adaptive diagnostic observer, fault accommodation

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