This study considers the robust stabilization problem of uncertain Takagi-Sugeno (T-S) fuzzy systems in which some or all state variables are unavailable. The considered uncertainties of the system are bounded and satisfy a certain condition. A sufficient condition for the state estimation and robust stabilization of the closed system is proposed. Based on the condition, the observer is designed and observer-based controller is synthesized. In the observer and controller synthesis process, with the aid of some special derivations, Bilinear Matrix Inequalities (BMIs) are converted into Linear Matrix Inequalities (LMIs) in one step such that LMI tools can be used to solve the problem. Finally, both numerical and practical examples are given to verify the effectiveness of the proposed approach.
Journal of Intelligent and Fuzzy Systems 30(6), pp.3451-3463