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

Autor: Jabri Dalel, Guelton Kevin, Belkhiat Djamel E.C., Manamanni Noureddine
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: International Journal of Applied Mathematics and Computer Science, Vol 30, Iss 2, Pp 225-238 (2020)
Druh dokumentu: article
ISSN: 2083-8492
DOI: 10.34768/amcs-2020-0018
Popis: 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.
Databáze: Directory of Open Access Journals