Decentralized static output tracking control of interconnected and disturbed Takagi–Sugeno systems

Jabri, Dalel ; Guelton, Kevin ; Belkhiat, Djamel E.C. ; Manamanni, Noureddine

International Journal of Applied Mathematics and Computer Science, Tome 30 (2020) no. 2, pp. 225-238.

Résumé

This article describes a new procedure for the design of decentralized output-feedback tracking controllers for a class of interconnected Takagi–Sugeno (TS) fuzzy systems with external bounded disturbances and measurement noise. The main idea consists in transforming the decentralized tracking control problem, by using the descriptor redundancy formulation, to a robust decentralized stabilization one. The non-parallel distributed compensation (non-PDC) controllers proposed here are synthesized to satisfy robust H∞ tracking performance with disturbance attenuation. The decentralized controllers design conditions are given in terms of LMIs via extended quadratic Lyapunov functions. Finally, simulations are presented: two numerical examples are dedicated to compare the conservatism of the proposed approach regarding the previous results available in the literature; then, the effectiveness of the decentralized controller design methodology is illustrated with a closed-loop simulation of two inverted pendulums connected by a spring.

Détail

Keywords: interconnected Takagi–Sugeno system, decentralized static outputs tracking controller, H∞ criterion, LMIs
Mots-clés : model Takagi-Sugeno, kontroler śledzenia, LMIs

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