Unmeasurable Premise Avoidance in T-S Fuzzy Observer for BAB Model

This paper deal with the problem of unmeasured premise variable(UPV) in T-S fuzzy observer for ball and beam(BAB) system. Normally,the observer design is rather challenging and with computational burden. Different from previous results to obtain the observer design condition based on a traditional T-S fuzzy model, the work here proposed a method to avoid UPV by reformulating the BAB system using the nonlinear local models in the fuzzy rules. The proposed method guarantees asymptotic convergence of state estimation. The conditions for the observer design is given in the form of linear matrix inequality(LMI) formulations. Simulation result illustrates effecitveness of the proposed method.