The problem of robust fault estimation (FE) for a class of nonlinear systems in discrete-time domain is studied via proposing a comprehensive partition-based switching scheme. Both enhancement factors and attenuation factors are designed synchronously for accomplishing a comprehensive partition of the entire space spanned by the considered normalized fuzzy weighting functions. Thanks to the proposed comprehensive partition-based switching scheme, six subspaces would be obtained by identifying the real-time permutation order of the underlying parameters. Therefore, a novel fuzzy FE observer with six kinds of switching modes can be on-line implemented. As a result, the robust H ∞ performance index can be enhanced since much more information is employed than those reported results. Finally, simulation comparisons over the existing results are provided to show the obtained advantages of the article.

To study the objective assessment of power grid disaster response capacity under extreme natural disasters, a quantitative assessment method of power grid disaster response capacity based on fuzzy comprehensive evaluation and weight is proposed. Firstly, a pre-disaster endurance and post-disaster resilience evaluation index system is established by analyzing the comprehensive data of the power grid system. Then, the analytic hierarchy process and the entropy weight method to obtain the subjective and objective weights of the indicators are used and combined into comprehensive weight determination indicators. Fuzzy comprehensive evaluation to quantitatively evaluate the disaster response capability of the power grid is used. Finally, the proposed evaluation method is verified through a calculation example. The results show that the method is reasonable and effective, and has a certain guiding role for the grid to respond to extreme natural disasters.