Event-based H∞H∞ control for discrete Markov jump systems

• The dynamic discrete event-triggered scheme, is presented.
• Networked Markov jump system with time-varying delay has been reconstructed based on the analysis of time interval.
• The H∞H∞ co-design method of the event detector and the H∞H∞ controller is given.

The problem of event-based H∞H∞ control for discrete Markov jump systems is investigated in this paper. A time interval analysis approach is used to transform the system, the event-triggered scheme and network-induced delays into a time-delay system. Based on the time-delay system analysis method, criteria are derived to guarantee the discrete networked Markov jump system stochastically stable with an H∞H∞ norm bound. The correspondent state feedback controller and the event-based parameters are also given. An illustrative example is given to show that the proposed analysis and design techniques are effective.