Disturbance estimator-oriented secured tracking control design for uncertain periodic piecewise polynomial time-varying systems with DoS attacks

The research offered here discuss the topic of secured disturbance rejection-oriented robust tracking control for uncertain periodic piecewise polynomial time-varying systems by relying on the modified equivalent-input-disturbance (EID) approach, taking numerous vulnerable elements into account. Specifically, the examination encompasses linear fractional parametric uncertainties with randomness, external disturbances, randomly occurring fluctuations in gain, time-varying delays and denial-of-service (DoS) attacks. Moreover, to contend with the disturbance footprints, a modified EID technique is developed under the periodic piecewise polynomial character. Specifically, the discrepancy between the filtered disturbance estimate and the actual EID value has been minimized, thereby improving the capability to reject disturbances. And so, to make the system more secure and reflect the typical circumstances, the observer management takes DoS attacks into account. On top of that, in accordance with the reference model, the control law is developed by infusing the disturbance estimation which is procured from the modified EID notion. Furthermore, the control segment undergoes the gain variation that takes random linear fractional form with the intent to make the control law more robust to errors. Besides, the prerequisites for the main goal of this research are laid out through the utilization of matrix polynomial lemma and the theory of Lyapunov’s stability. In the closing part of this investigation, as a way to demonstrate the efficacy and productiveness of the control design and the theoretical discoveries made, numerical example along with the simulated outcomes are presented.