Stabilization of polynomial fuzzy large-scale system: Sum-of-square approach

This paper presents a polynomial fuzzy method approach to stabilize the nonlinear large-scale system. Unlike conventional T-S fuzzy system, polynomial fuzzy system contains polynomial matrix. Since polynomial fuzzy system has polynomial matrix, this system has less IF-THEN rules than T-S fuzzy system. Based on the proposed method, stabilization condition is derived in the form of polynomial and solved by sum-of-square method. Finally, some examples demonstrate that the proposed condition is adoptable in modeling and stabilization for the nonlinear large-scale system.