International Journal of applied mathematics and computer science

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Paper details

Number 2 - June 2020
Volume 30 - 2020

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

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

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.

interconnected Takagi–Sugeno systems, decentralized static outputs tracking controllers, H criterion, LMIs