Secured State Estimation-Based Tracking Control Design for Periodic Piecewise Polynomial Systems With Deception Attacks Over a Finite-Horizon

In this research, we assess the observer-oriented finite-time security tracking control issue for periodic piecewise polynomial time-varying systems that are sensitive to deception attacks, external disturbances, and time-delay. To be specific, an observer scheme with a periodic piecewise polynomial nature has been formed with the purpose of offering an estimation of the system states that are being investigated. A control law is drawn up by setting the reference system and basing it on the observer framework, which provides a considerable amount of assistance to the system to attain the ideal state tracking performance. Furthermore, the quantization strategy is put to use to tackle the communication restrictions that are experienced in the output segment. Additionally, the deception attacks are taken into consideration in the output channel, where the Bernoulli distribution is applied for the purpose of governing the random nature of the attacks. Also, the effects of external disturbances are minimized with the use of dissipative theory. Besides, by employing the matrix polynomial lemma, finite-time stability theory and Lyapunov stability theory, an appropriate set of conditions that guarantee the main goal of this evaluation is established within the context of linear matrix inequalities. Finally, a numerical example is presented together with simulated outcomes to indicate the beneficial effects of the intended control and the vitality of the theoretical conclusions.