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Modified Repetitive Control Design for Nonlinear Systems With Time Delay Based on T–S Fuzzy Model | IEEE Journals & Magazine | IEEE Xplore

Modified Repetitive Control Design for Nonlinear Systems With Time Delay Based on T–S Fuzzy Model


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 ...Show More

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.
Published in: IEEE Transactions on Systems, Man, and Cybernetics: Systems ( Volume: 50, Issue: 2, February 2020)
Page(s): 646 - 655
Date of Publication: 26 October 2017

ISSN Information:


References

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