A Decoupling Approach for Observer-Based Controller Design of T-S Fuzzy System With Unknown Premise VariablesBr Language

For the output feedback control problem of a Takagi-Sugeno (T-S) fuzzy system with unknown premise variables (UPV) and external disturbances, a new observer-based controller H-infinity robust synthesis approach is proposed. To utilize the membership functions more effectively, in this article, a membership functions constructed vector is used as new premise variables. Then, the error items which are induced by UPV are decoupled into a new T-S fuzzy system. For the derived stability and robustness conditions in complex bilinear matrix inequality form, more relaxed sufficient conditions which can be solved directly by convex optimization method are proposed. Finally, a suspended floater control system based simulation process is carried out. The conservatism reduction effects among traditional and decoupling approaches are given, the state estimation effects of the observer and control performances are also verified.

Automated summary

A new observer-based H-infinity robust synthesis approach is proposed for the output feedback control problem of a Takagi-Sugeno (T-S) fuzzy system with unknown premise variables (UPV) and external disturbances. By using a membership functions constructed vector as new premise variables and decoupling the error items induced by UPV, more relaxed stability and robustness conditions in complex bilinear matrix inequality form are proposed, which can be solved directly by convex optimization method. Finally, a simulation process based on a suspended floater control system is carried out to verify the conservatism reduction effects and the performance of state estimation of the observer and control.