Disturbance rejection in fuzzy systems based on two dimensional modified repetitive-control.

ISA Trans

Department of Applied Mathematics, Bharathiar University, Coimbatore 641046, India. Electronic address:

Published: November 2020

AI Article Synopsis

  • - This paper discusses an improved robust control method called two-dimensional modified repetitive control (2D MRC) for fuzzy systems that face aperiodic disturbances.
  • - The approach incorporates an equivalent-input-disturbance (IEID) estimator to identify and compensate for various disturbances, ensuring robust stability in the system.
  • - It features both continuous control and discrete learning behaviors, with stability conditions formulated using linear matrix inequalities, and includes simulation results demonstrating the effectiveness of the method.

Article Abstract

This paper concerns with the issues of designing an improved-equivalent-input-disturbance (IEID) based robust two dimensional modified repetitive control (2D MRC) for a class of fuzzy systems in the presence of aperiodic disturbances. Specifically, IEID-estimator is implemented to the 2D MRC systems that estimates all types of disturbances and compensates them for assuring robust stability. In particular, the proposed 2D MRC system has two different type of behaviours such as continuous control and discrete learning independently. To obtain gains of the observer and the controller, an adequate set of robust stability conditions is derived in the form of a linear-matrix-inequalities. Finally, simulation results for three numerical examples are provided to depict the efficacy of the proposed control technique.

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Source
http://dx.doi.org/10.1016/j.isatra.2020.07.019DOI Listing

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