Improved intermediate estimator-based security control for networked periodic piecewise stochastic systems with attacks and additive delays

The issue of improved intermediate estimator-based security control for networked periodic piecewise stochastic systems under the case of cyber attacks, additive time delays and external disturbances is investigated in this article. Specifically, in order to reconstruct the states of the undertaken model and cyber attacks, the improved proportional integral intermediate estimator is configured, which is under the periodic piecewise pattern. Also, the inclusion of an integral loop significantly enhances the attack reconstruction capability of the constructed estimator model. Thereafter, with the reconstruction information procured from the estimator, the security control law is put together, which greatly assists the examined model to attain the stability of the system by eliminating the traces of cyber attacks. In addition to this, the gain fluctuations are taken into consideration in the control channel in order to produce the actual circumstance with more accuracy. Subsequently, dissipative theory is employed to deal with the imprints of the external disturbances on the system layout. Moreover, the prerequisite constraints that insuring the primary focus of this analysis are established in the frame of linear matrix inequality through the use of Lyapunov stability theory, Jensen’s inequality and improved Wirtinger’s inequality. Following the examination, a numerical example is provided together with simulated findings that confirm the efficiency of the constructed control law and the given theoretical findings.