Finite-Time Intermittent Anti-Disturbance Control for Discrete-Time Switched Systems With Stochastic Gain...

This study focuses on the finite-time (FITI) intermittent anti-disturbance control problem of discrete-time switched systems with multiple disturbances and stochastic gain fluctuations. Different from the existing switching system works, a permissible edge-dependent average dwell time mechanism is developed instead of the existing common mode-dependent average dwell time (MDADT) mechanism, which is more flexible and has a wider range of applications. Subsequently, the switching system studied in this study considers not only external disturbance but also malicious cyberattacks, which is more in line with the actual background and has more theoretical significance and practical research value. Furthermore, an intermittent composite anti-disturbance strategy is designed to replace the existing continuous anti-disturbance control strategy based on fully measurable information in the case that external disturbance and malicious cyberattacks are prone to inducing partial information loss. More importantly, a novel FITI $\mathscr {H}_{\infty } $ stabilization criterion for control and a highly practical optimization algorithm are presented, which can effectively reduce the control costs. Finally, the results of the developed FITI intermittent anti-disturbance control scheme are verified by using a real two-shaft turbofan engine (TSTE) model.