Event-triggered \(H_\infty\) control for network-based uncertain Markov jump systems under DoS attacks. (English) Zbl 1464.93049
Summary: This paper investigates the event-triggered \(H_\infty\) control problem for network-based Markov jump systems subject to denial-of-service (DoS) attacks. In order to reduce the amount of signal transmission, the event-triggering scheme (ETS) is adopted between sensor and controller. Due to DoS attacks invalidating data over networks, a new switched time-delay Markov jump model with unstable subsystems is developed based on state feedback controller. Then with the help of piecewise Lyapunov-Krasovskii functional method, a set of sufficient conditions incorporating constraints of DoS attacks are provided, which guarantees that the resulting switched time-delay Markov jump system is stochastically stable with a certain \(H_\infty\) performance. Subsequently, we present criterions to obtain the parameters of state feedback gain and ETS. Finally, an example is provided to show the effectiveness of the proposed method.
MSC:
| 93C65 | Discrete event control/observation systems |
| 93B36 | \(H^\infty\)-control |
| 93E15 | Stochastic stability in control theory |
| 93B70 | Networked control |
Keywords:
event-triggered \(H_\infty\) control; stochastic stability; network-based Markov jump systemsReferences:
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