Multi-constrained fault estimation observer design with finite frequency specifications for continuous-time systems
Multi-constrained fault estimation observer design with finite frequency specifications for continuous-time systems
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DOI：
10.1080/00207179.2014.880950
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发表时间：
2014-01
影响因子：
2.1
通讯作者：
Ke-min Zhang;B. Jiang;P. Shi;Jinfa Xu
中科院分区：
文献类型：
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作者：
Ke-min Zhang;B. Jiang;P. Shi;Jinfa Xu
针对连续时间系统，研究了具有有限频率指标的多约束全阶故障估计观测器的设计问题。通过构造一个增广系统，提出了一种有限频域多约束FFEO方法来实现故障估计。同时，所提出的FFEO可以避免由广义卡尔曼-雅库博维奇-波波夫引理产生的整个频域的过设计问题。此外，通过引入松弛变量，在不同的频域的FFEO设计得到了改进的结果，使得不同的李雅普诺夫矩阵可以单独设计为每个约束。仿真结果证明了所提出的技术的有效性和潜力。
The design of a multi-constrained full-order fault estimation observer (FFEO) with finite frequency specifications is studied for continuous-time systems. By constructing an augmented system, a multi-constrained FFEO in finite frequency domain is proposed to achieve fault estimation. Meanwhile, the presented FFEO can avoid the overdesign problem generated by the entire frequency domain by the generalised Kalman–Yakubovich–Popov lemma. Furthermore, by introducing slack variables, improved results on FFEO design in different frequency domains are obtained such that different Lyapunov matrices can be separately designed for each constraint. Simulation results are presented to demonstrate the effectiveness and potentials of the proposed techniques.