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.

Automated summary

This paper proposes a resources-aware pattern of finite-time controller design for discrete-time Markov jump systems (DTMJSs). A self-triggered mechanism is used to evaluate the performance of DTMJSs during a given interval, where subsequent execution is determined based on historical data. An adaptive self-triggered mechanism with customizable thresholds is also proposed for more communication resource conservation. Two instances are explored to examine the impact of the association between mode transitions and triggering signals on finite-time performance, regardless of whether they were activated within the working period. Additionally, a co-design framework is developed to calculate the adaptive self-triggered parameters and the finite-time controller gains synchronously, increasing efficiency of resource conservation and facilitating adaptation.