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 11-jul-2024