Event-triggered mixed control for Markov jump systems with time delay and input nonlinearity

In this paper, the problem of event-triggered mixed H-infinity and passive control for a class of time delay stochastic Markov jump systems subject to input constraint is addressed. In order to reduce network burden, a useful event-triggered scheme is proposed. Then, due to network-induced delays, a time-delay model analysis approach is used to reconstruct the system. Analysis and design methods of the state feedback event-triggered controller are derived to ensure that the resulting system is stochastically stable and satisfies mixed H-infinity and passive performance index. Sufficient conditions are obtained in terms of liner matrix inequalities. Finally, a numerical example is given to illustrate the effectiveness of the proposed approach.