IEEE Trans Cybern. 2015 Jul;45(7):1225-35. doi: 10.1109/TCYB.2014.2347697. Epub 2014 Sep 18.
This paper addresses the problem of fault estimation observer design with finite-frequency specifications for discrete-time Takagi-Sugeno (T-S) fuzzy systems. First, for such T-S fuzzy models, an H∞ fault estimation observer with pole-placement constraint is proposed to achieve fault estimation. Based on the generalized Kalman-Yakubovich-Popov lemma, the given finite-frequency observer possesses less conservatism compared with the design of the entire-frequency domain. Furthermore, the performance of the presented fault estimation observer is further enhanced by adding the degree of freedom. Finally, two examples are presented to illustrate the effectiveness of the proposed strategy.
本文针对离散时间 Takagi-Sugeno（T-S）模糊系统的有限频规范，解决故障估计观测器设计问题。首先，针对此类 T-S 模糊模型，提出了一种具有极点配置约束的 H∞故障估计观测器，以实现故障估计。基于广义卡尔曼-雅可比-波波夫引理，与整个频域的设计相比，所给出的有限频观测器具有较小的保守性。此外，通过增加自由度进一步提高了所提出的故障估计观测器的性能。最后，通过两个实例说明了所提出策略的有效性。
