<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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 <italic>H</italic><sub>∞</sub> 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.</p></abstract>

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.

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

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

This article describes a new procedure for the design of decentralized output-feedback tracking controllers for a class of interconnected Takagi–Sugeno (TS)...

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

Published Online: Jul 04, 2020

Page range: 225 - 238

Received: May 14, 2019

Accepted: Jan 22, 2020

DOI: https://doi.org/10.34768/amcs-2020-0018

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

© 2020 Dalel Jabri et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Jul 04, 2020

Page range: 225 - 238

Received: May 14, 2019

Accepted: Jan 22, 2020

DOI: https://doi.org/10.34768/amcs-2020-0018

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

© 2020 Dalel Jabri et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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