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Article Dans Une Revue International Journal of Applied Mathematics and Computer Science Année : 2020

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

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.
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Dates et versions

hal-02887596 , version 1 (02-07-2020)

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Citer

Dalel Jabri, Kevin Guelton, Djamel Belkhiat, Noureddine Manamanni. Decentralized static output tracking control of interconnected and disturbed Takagi-Sugeno systems. International Journal of Applied Mathematics and Computer Science, 2020, 30, pp.225-238. ⟨10.34768/amcs-2020-0018⟩. ⟨hal-02887596⟩
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