Abstract
Abstract This paper deal with the problem of unmeasured premise variable (UPV) in T-S fuzzy observer for ball and beam (BAB) system with friction. The observer design with UPV is rather challenging and with computational burden. Different from previous results to obtain the observer design condition based on a traditional TS fuzzy model, the work here presents a method by reformulating the BAB system as T-S fuzzy model with nonlinear consequent parts that has shown to reduce the number of 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 effectiveness of the proposed method.
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