Finite-Time Controller Design for Continuous-Time T–S Fuzzy Systems With Partly Measurable Premise Variables

The research presented in this paper delves into the finite-time control problem of Takagi-Sugeno (T-S) fuzzy systems with partly measurable premise variables. Firstly, through the application of the H
∞
analysis technique and the local stabilization analysis method, the synthesis conditions for the observer have been derived. The state estimation error can be limited to a pre-specified area, allowing the estimation error to be controlled more effectively and this aspect is pivotal for the design of the subsequent finite-time controller. Then, a finite-time controller is constructed by using measurable premise variables, which improves the transient performance of the system compared with the traditional parallel distribution compensation (PDC) controller. In the end, the efficacy of the proposed strategy is substantiated through a simulation example.