Finite-time intermittent anti-disturbance control for discrete-time switched systems with stochastic gain fluctuations: partial information loss case

This study focuses on the finite-time (FITI) intermit-tent anti-disturbance control problem of discrete-time switchedsystems with multiple disturbances and stochastic gain fluc-tuations. Different from the existing switching system works,a permissible edge-dependent average dwell time mechanismis developed instead of the existing common mode-dependentaverage dwell time (MDADT) mechanism, which is more flex-ible and has a wider range of applications. Subsequently, theswitching system studied in this study considers not only externaldisturbance but also malicious cyberattacks, which is more in linewith the actual background and has more theoretical significanceand practical research value. Furthermore, an intermittent com-posite anti-disturbance strategy is designed to replace the existingcontinuous anti-disturbance control strategy based on fully mea-surable information in the case that external disturbance andmalicious cyberattacks are prone to inducing partial informationloss. More importantly, a novel FITI H_∞ stabilization criterionfor control and a highly practical optimization algorithm arepresented, which can effectively reduce the control costs. Finally,the results of the developed FITI intermittent anti-disturbancecontrol scheme are verified by using a real two-shaft turbofanengine (TSTE) model.