Composite State Tracking Control Protocol for Semi-Markovian Jump Systems with Time-Varying Delays

A robust finite-time state tracking issue for a class of linear semi-Markovian jump systems in the presence of unknown disturbance and uncertainties is scrutinized in this study. A lumped disturbance estimator, which bears the consequence of disturbance signals and uncertainties, is devised to ease the required tracking results and to estimate the external input and model perturbations simultaneously. More precisely, in this work, a composite lumped disturbance rejection and robust finite-time state tracking strategy is proposed to get the required result. Additionally, a list of sufficient requirements is constructed within the context of linear matrix inequalities using Lyapunov stability theory to guarantee that the trajectories of the resulting tracking error system are stable in finite-time span. Eventually, the efficacy and practicability of the designed control strategy are validated by using two numerical examples including switched boost converter circuit model.