Asynchronous passive dynamic event‐triggered controller design for singular Markov jump systems with general transition rates under stochastic cyber‐attacks
Haotian Wang, Yanqian Wang, Guangming Zhuang, Junwei Lu
Abstract
This study focuses on the issue of asynchronous passive controller design for singular Markov jump systems with general transition rates under stochastic cyber‐attacks. To maximise the utilisation of network resources by reducing unnecessary data transmissions, a dynamic event‐triggered rule is properly presented. Assuming that the system might be attacked by two kinds of stochastic cyber‐attacks, which are governed by two different functions. The asynchronous fact between the modes of the system and controller is described by the hidden Markov model. The criterion of stochastically admissible with a certain passive performance is established. In the light of a series of linear matrix inequalities, the asynchronous controller and dynamic event‐triggered rule are designed simultaneously. A numerical instance under different event‐triggered rules is offered to reveal the usefulness and effectiveness of the developed method.