首页> 外文期刊>International Journal of Innovative Computing Information and Control >LMI-BASED FAULT DETECTION FUZZY OBSERVER DESIGN WITH MULTIPLE PERFORMANCE CONSTRAINTS FOR A CLASS OF NON-LINEAR SYSTEMS: COMPARATIVE STUDY
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LMI-BASED FAULT DETECTION FUZZY OBSERVER DESIGN WITH MULTIPLE PERFORMANCE CONSTRAINTS FOR A CLASS OF NON-LINEAR SYSTEMS: COMPARATIVE STUDY

机译:一类非线性系统基于LMI的具有多种性能约束的故障检测模糊观测器设计:对比研究

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摘要

In view of the conservatism of the conventional linear matrix inequality (LMI) based fault detection observer design for Takagi-Sugeno fuzzy nonlinear systems with more If-Then rules, an improved fuzzy observer design is presented. The identical transformation of matrix inequalities is employed to reduce the conservatism and the number of LMI constraints, which can accommodate to the models with more rules. The multiobjective optimization strategy is also applied to dealing with the multiobjective constraints on the disc poles index, the quasi Li-norm indices of the residual's robustness to disturbances and sensitivity to faults. The resulting observer not only is less conservative, but also meets the multiple performance requirements of fault detection. Meanwhile, two other methods are introduced for comparative study. Moreover, to enhance the effect of fault detection in residual evaluation, a weighted BIC criterion-based algorithm is introduced to determine the finite-time window for online evaluation. Simulative examples demonstrate the effectiveness of the proposed method.
机译:鉴于具有更多If-Then规则的Takagi-Sugeno模糊非线性系统基于常规线性矩阵不等式(LMI)的故障检测观测器设计的保守性,提出了一种改进的模糊观测器设计。采用矩阵不等式的相同变换来减少保守性和LMI约束的数量,这可以适应具有更多规则的模型。多目标优化策略也被应用于处理磁盘极点指数,残差对干扰的鲁棒性和对故障的敏感性的准Li-norm指数的多目标约束。所得的观察者不仅保守程度降低,而且满足故障检测的多种性能要求。同时,介绍了另外两种方法进行比较研究。此外,为了提高故障检测在残差评估中的效果,引入了一种基于加权BIC准则的算法来确定在线评估的时限窗口。仿真实例证明了该方法的有效性。

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