RT info:eu-repo/semantics/article T1 Design of robust control for uncertain fuzzy quadruple-tank systems with time-varying delays A1 Naami, Ghali A1 Ouahi, Mohamed A1 Rabhi, Abdelhamid A1 Tadeo Rico, Fernando Juan A1 Tuan, Viet Long Bui K1 Observer-based control K1 Quadruple-tank system K1 Takagi–Sugeno (T–S) fuzzy systems K1 Time-varying delays K1 33 Ciencias Tecnológicas AB The robust H∞ observer-based control design is addressed here for non-linear Takagi-Sugeno (T-S) fuzzy systems with time-varying delays, subject to uncertainties and external disturbances. This is motivated by the quadruple-tank with time delay control problem. The observer design methodology is based on constructing an appropriate Lyapunov–Krasovskii functional (LKF) for an augmented system formed from the original and the delayed states. The bilinear terms are transferred to the linear matrix inequalities, thanks to a change of variables which can be solved in one step. Furthermore, by employing the L2 performance index, the adverse effects of persistent bounded disturbances is largely avoided. The proposed method has the advantage of relating the controller and Lyapunov function to both the original and delayed states. Then, the controller and observer gains are obtained simultaneously by solving these inequalities with off-the-shelf software (Yalmip/MATLAB toolbox). Finally, an application to a simulated quadruple-tank system with time delay is carried out to demonstrate the benefits of the proposed technique, showing a compromise between controller simplicity and robustness that outperforms previous approaches. PB Springer SN 2364-4966 YR 2022 FD 2022 LK https://uvadoc.uva.es/handle/10324/52238 UL https://uvadoc.uva.es/handle/10324/52238 LA eng NO Granular Computing, 2022. NO Producción Científica DS UVaDOC RD 23-nov-2024