In this paper, non-PDC H∞ observer-based controller design for disturbed T-S fuzzy systems with unknown premise variables is addressed for the first time. Unlike the available non-PDC-based approaches, real state variables are not used in the controller equation. Moreover, using the descriptor redundancy approach, the observer and controller gains are calculated by solving some strict linear matrix inequalities (LMIs). A fuzzy Lyapunov function approach is utilized to obtain less conservative design conditions than previous methods. Furthermore, in order to satisfy an arbitrary upper bound on the absolute value of the control signal, additional design conditions are obtained which depend on the upper bounds of the initial states of the observer. The effectiveness of the proposed method is shown via a numerical simulation.

Keywords: H∞ observer-based control, Descriptor redundancy approach, T-S fuzzy system, fuzzy Lyapunov function, linear matrix inequality (LMI).

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