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Modified repetitive control design for nonlinear systems with time delay based on T–S fuzzy model

Publication Type : Journal

Publisher : IEEE

Source : IEEE Transactions on Systems, Man, and Cybernetics: Systems

Url : https://ieeexplore.ieee.org/abstract/document/8085140

Campus : Chennai

School : School of Engineering

Year : 2017

Abstract : In this paper, based on the Takagi-Sugeno fuzzy model approach, a novel output feedback control strategy is developed for a class of continuous-time nonlinear time delay systems via modified repetitive control scheme. The main objective of this paper is to design a fuzzy rule-based modified repetitive controller such that the system output can track any given periodic reference signal even in the presence of periodic disturbances. For this purpose, by employing fuzzy-dependent Lyapunov-Krasovskii functional together with the free-weighting matrix technique, a new set of sufficient conditions is presented in terms of linear matrix inequalities to guarantee the robust stability of the resulting closed-loop system. Based on these conditions and using internal model principle, it is shown that the system output tracks the given reference input within the desired error. Finally, two application-oriented examples are presented to validate the obtained theoretical results in which the proposed control design scheme gives better performance over the existing control scheme.

Cite this Research Publication : R. Sakthivel, P. Selvaraj, B. Kaviarasan, Modified repetitive control design for Nonlinear systems with time delay based on T–S fuzzy model, IEEE Transactions on Systems Man and Cybernetics-Systems, 50 (2), 646-655, Feb. 2020. (IF: 8.7) ISSN: 2168-2216.

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