Self-triggered finite-time H∞ control for Markov jump systems with multiple frequency ranges performance

In the present study, a self-triggered finite-time control policy is investigated for Markov jump systems (MJSs) under multiple frequency ranges restrictions. A self-triggered scheme is developed to realize the system in a resource-aware pattern which will fully analyze the effect of transition probability on the characteristics of the finite frequency range. The developed scheme updates the control input of the system through the history of measurements. Then, taking into account several factors such as transient performance, frequency domain specification, and computational burden, a self-triggered finite-time controller is constructed. The developed controller concurrently ensures the predefined disturbance suppression level and the finite-time boundedness of the considered system while decreasing the computational and communication cost. The simulation example of a cart-spring system illustrates the effectiveness and superiority of the proposed approach over existing methods.