Functional Observer Design for T–S Fuzzy Systems With Complex Unmeasurable Premise Variables
针对Takagi-Sugeno模糊系统中存在复杂不可测前提变量的问题，提出一种新的线性化方法，并设计功能观测器-控制器，通过凸鲁棒性和稳定性条件求解增益，使估计和控制系统稳定。
This article is concerned with the problem of functional observer-controller (FOC) design when a complex unmeasurable premise variable (UPV) exists in the Takagi-Sugeno (T-S) fuzzy systems. Considering the nonlinearities in the UPV, a new transformation method is designed to linearize the premise variable (PV). Then, the PV could be estimated through the proposed FOC. The observer and controller gains are derived by deducing convex robust and stability conditions. Furthermore, a robust separation principle is utilized to make the estimate and control error system stable. Finally, simulation examples are provided to illustrate the effectiveness of the proposed method.