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Article Dans Une Revue Granular Computing Année : 2022

Design of robust control for uncertain fuzzy quadruple-tank systems with time-varying delays

Ghali Naami
Mohamed Ouahi
  • Fonction : Auteur
Fernando Tadeo
  • Fonction : Auteur
Viet Long Bui Tuan
  • Fonction : Auteur

Résumé

Abstract 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 $$\mathcal {L}_2$$ L 2 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.

Dates et versions

hal-04278259 , version 1 (09-11-2023)

Identifiants

Citer

Ghali Naami, Mohamed Ouahi, Abdelhamid Rabhi, Fernando Tadeo, Viet Long Bui Tuan. Design of robust control for uncertain fuzzy quadruple-tank systems with time-varying delays. Granular Computing, 2022, 7 (4), pp.951-964. ⟨10.1007/s41066-021-00306-x⟩. ⟨hal-04278259⟩
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