文章摘要
引用本文:阮玉镇,苗琳璐,王 武.具有非线性等式约束的故障诊断集员滤波器设计[J].福州大学学报(自然科学版),2015,43(2):201~206
具有非线性等式约束的故障诊断集员滤波器设计
Fault diagnosis based on the set membership filter with nonlinear equality constraint
  
DOI:10.7631/issn.1000-2243.2015.02.0201
中文关键词: 故障诊断  集员滤波器  线性矩阵不等式  非线性等式约束  未知但有界
英文关键词: fault diagnosis  set membership filter  LMI  nonlinear equality constraint  unknown but bounded
基金项目:
作者单位
阮玉镇 福建工程学院机械与汽车工程学院福建 福州 350118 福州大学电气工程与自动化学院福建 福州 350116 
苗琳璐 福州大学电气工程与自动化学院福建 福州 350116 
王 武 福州大学电气工程与自动化学院福建 福州 350116 
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中文摘要:
      为了解决具有非线性等式约束的故障诊断问题,提出集员滤波器的设计方法,该方法不仅可以对故障程度进行估计,有效检测出故障,还能解决运行系统中要求的100%包含真实最小域的需要,判定出故障类型. 首先对非线性等式约束线性化,通过S-过程方法和线性矩阵不等式方法设计集员滤波器;而后用Finsler引理把非约束状态下的集员滤波投射到约束表面,得到状态约束下的集员滤波器;最后运用递归优化算法对集员滤波器进行优化. 数值仿真说明了该方法的可行性和有效性.
英文摘要:
      The design method of set membership filter is proposed to solve the problem fault diagnosis with nonlinear equality constraint,this method not only can estimate the size of the fault and delete the fault effectively,but also can guarantee the system requiring 100%confidence to be estimated. Furthermore it can detect the type of fault signal. In this note the nonlinear equality constraint is first linearized,then S-procedure and linear matrix inequalities(LMI) method is applied to design set membership filter. The set membership filter with nonlinear equality constraint is finally derived from projecting the unconstrained set-membership filter onto the constrained surface by using Finsler’s Lemma. Finally,a recursive algorithm is developed for computing the set membership filter. The simulation result shows that the method presented is available and effective.
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