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

The article introduces a novel robust state tracking control protocol for semi-Markovian jump systems with time-varying delays and disturbances. It leverages the uncertainty and disturbance estimator (UDE) approach to effectively estimate and mitigate the impacts of unknown disturbances. The protocol ensures finite-time stability of the tracking error system, making it particularly suitable for real-world applications where precise control and robustness are crucial. The authors develop the control strategy using linear matrix inequalities (LMIs) and Lyapunov stability theory, providing a rigorous mathematical foundation. The article also includes numerical examples to validate the effectiveness of the proposed control algorithm, demonstrating its practical applicability in various systems, such as switched boost converter circuits. Overall, the work presents a significant advancement in the field of control theory, addressing the challenges posed by time-varying delays and disturbances in complex systems.