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Counterpart of Advanced TS discrete controller without matrix inversion

Abstract : This paper aims to present a systematic methodology for designing a Counterpart of an Advanced Takagi-Sugeno (CATS) discrete controller. Advance controllers for nonlinear systems under Takagi-Sugeno representation have been designed for years using efficient control laws such as the non-PDC (Parallel Distributed Compensation) controller. In terms of stabilization, that kind of controllers is a powerful tool which allows outperforming the classical PDC results using non quadratic Lyapunov function. However, in spite of these advantages, this control strategy presents a major inconvenient from real time implementation point of view: the use of a nonlinear matrix inversion at each sample time. In order to solve this problem, our paper presents a CATS controller design methodology to obtain an equivalent to the non-PDC controller without matrix inversion. Through a given procedure associated with a stability analysis, not only the efficiency is proved but also its validity. Finally, some simulation results will emphasize the originality and the usefulness of the proposed CATS controller.
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Conference papers
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https://hal-uphf.archives-ouvertes.fr/hal-03406949
Contributor : Mylène Delrue Connect in order to contact the contributor
Submitted on : Thursday, October 28, 2021 - 10:52:25 AM
Last modification on : Thursday, November 4, 2021 - 12:00:02 PM

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  • HAL Id : hal-03406949, version 1

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Thomas Laurain, Jimmy Lauber, Reinaldo Martinez Palhares. Counterpart of Advanced TS discrete controller without matrix inversion. 4th IFAC Conference on Intelligent Control and Automation Sciences ICONS 2016, Jun 2016, Reims, France. pp.182-187. ⟨hal-03406949⟩

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