IEEE Trans Cybern. 2017 Sep;47(9):2413-2424. doi: 10.1109/TCYB.2017.2707462. Epub 2017 Jun 6.
This paper is concerned with the fault isolation problem for discrete-time fuzzy interconnected systems with unknown interconnections. First, for each subsystem, a fault isolation interval observer is constructed by taking into account the bounds of the unknown interconnections and subsystem disturbances. Then, l and H performances are introduced to improve the tightness of the residual intervals and the sensitivity to their own faults, respectively. Furthermore, the fault isolation decision is made by determining whether the zero value is excluded from each residual interval. By utilizing the piecewise Lyapunov functions and dilated linear matrix inequalities, the obtained observer design conditions are less conservative than the existing results with the common and diagonal Lyapunov functions. Finally, simulation results are presented for showing the effectiveness and superiority of the proposed method.
本文研究了具有未知互联的离散时间模糊互联系统的故障隔离问题。首先，对于每个子系统，通过考虑未知互联和子系统干扰的边界，构造一个故障隔离区间观测器。然后，引入 l 和 H 性能，以分别提高残差区间的紧密度和对自身故障的灵敏度。此外，通过确定每个残差区间是否排除零值来做出故障隔离决策。利用分段 Lyapunov 函数和扩张线性矩阵不等式，所得到的观测器设计条件比具有公共和对角 Lyapunov 函数的现有结果更为保守。最后，通过仿真结果验证了所提方法的有效性和优越性。
