Abstract
This paper is concerned with the co-design problem of event-triggered scheme and $H_{\infty }$ static output control of linear Markov jump systems with deception attacks. To save the previous communication resources, a mode-dependent event-triggered scheme is utilized based on system output. To describe the deception attacks, a random variable satisfying Bernoulli distribution is employed. By using a separation approach, sufficient linear matrix inequality conditions for the existence of event-triggered output controllers that ensure the stochastic stability with prescribed $H_{\infty }$ are obtained. Then, a co-design algorithm is proposed to obtain the trade-off between the communication cost and $H_{\infty }$ performance. Lastly, the validity of the developed method is verified by a numerical example and a practical single-link robot arm system.
Highlights
As a type of stochastic systems, Markov jump systems (MJSs) have been widely adopted in various fields, such as networked systems, manufacturing systems, fault diagnosis [1]–[7]
Various problems of networked MJSs have been reported in [8]–[11] and the references therein. Note that these results are obtained based on a hypothesis that the communication resources like node energy and network bandwidth are adequate
Sufficient conditions for the required stability and performance are given in Theorem 1 and a unified event-triggered filter design method is proposed in Theorem 2
Summary
As a type of stochastic systems, Markov jump systems (MJSs) have been widely adopted in various fields, such as networked systems, manufacturing systems, fault diagnosis [1]–[7]. Various problems of networked MJSs have been reported in [8]–[11] and the references therein. Note that these results are obtained based on a hypothesis that the communication resources like node energy and network bandwidth are adequate. Since the advantage of saving limited communication resources, event-triggered scheme (ETS) become an effective manner to reduce communication cost without losing much system performance [12]–[16]. By using event-triggered scheme, many outcomes of MJSs about robust control [17], quantized control [18] and finite-time control [19] have been reported. [17] studies the robust
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