Periodic event-triggered modified repetitive control with equivalent-input-disturbance estimator based on T-S fuzzy model for nonlinear systems

Abstract In this paper, the periodic signal tracking and disturbance rejection problems are considered for a class of time-varying delay nonlinear systems with unknown exogenous disturbances under limited communication resources. The Takagi–Sugeno (T-S) fuzzy model is used to approximate system. developed scheme achieves reference improves performance aperiodic effectiveley. This can be operated by incorporating equivalent-input-disturbance (EID) estimator modified repetitive controller (MRC) scheme. Moreover, event-triggered feedback observer (FPETFO) proposed purpose reducing computational burden, energy consumption saving technique designed observe occurrence an event which described error signal. When exceeds prescribed threshold, occurs current data transmitted; otherwise, there zero-order hold keep unchanged. overall system consists MRC, EID FPETFO based on T-S model. Then, some sufficient conditions derived gurantee asymptotic stability subjected using Lyapunov–Krasovskii functional (LKF) theory linear matrix inequalities (LMIs). state gains LMI decomposition approaches. Simulation results illustrate effectiveness feasibility comparative study.