Self-triggered finite-time control for discrete-time Markov jump systems

This paper proposes a resources-aware pattern of finite-time controller design for discrete-time Markov jump systems (DTMJSs) Firstly, the performance evaluation of DTMJSs during a given interval is performed using a self-triggered mechanism that decides the subsequent execution only on the basis of historical data. Also, an adaptive self-triggered mechanism with customizable thresholds is proposed for more communication resource conservation. To examine the impact of the association between mode transitions and triggering signals on finite-time performance, two instances are explored regardless of whether it activated within the working period. Additionally, a co-design framework that calculates the adaptive self-triggered parameters and the finite-time controller gains synchronously is developed, which increases the efficiency of the resource conservation as well as facilitates its adaption.