Local Stabilization of Constrained N-TS Fuzzy Systems Based on a Weighted Ranking Protocol

In this article, relaxed local stabilization criteria of constrained N-TS fuzzy systems are provided by developing a weighted ranking protocol. Different from the recent criteria reported in the literature, a set of operating modes is produced by employing the weighted ranking information of the available normalized fuzzy weighting functions. With regard to each enabled operating mode, its proprietary boundary information constraint is fully considered by means of introducing a class of cascade-type free variables, and thus the conservatism can be reduced to a large extent than before. More importantly, the applied variable weights for adjusting the range of different operating modes play an important role in further enlarging the estimated attraction regions. Finally, the superiority of the proposed approach is tested and verified by giving several comparisons on two key indicators for the same benchmark example.