Robust Modified Repetitive Tracking Control Design for Singular Markovian Jump Fuzzy Systems With Probabilistic Input Delay

ABSTRACT The concerns of designing the tracking control problem as well as the compensation of disturbance and input delays for a class of T‐S fuzzy singular Markovian jump systems are addressed in this paper. In particular, a modified repetitive control scheme based on the Matausek‐Micic modified Smith predictor approach is implemented, which ensures precise tracking performance and high‐precision disturbance attenuation. To be more precise, the integration of the transfer function with the modified Smith predictor block ensures accurate estimation and effective attenuation of external disturbances. Furthermore, a set of adequate criteria are derived in the arrangement of matrix inequalities in accordance with Lyapunov stability phenomena and average‐dwell‐time technique. The controller gain matrices are constructed concurrently by solving the established matrix inequalities. In order to test the effectiveness and supremacy of the suggested control approach, the simulation results with three numerical cases are eventually presented.