Event-Triggered ${H}_{\infty}$ Control for Uncertain Markov Jump Systems With Nonlinear Input

Abstract

This paper investigates the robust event-triggered control scheme for discrete-time Markov jump systems with nonlinear input. An event-based strategy is addressed to reduce the data communication and improve the control efficiency. A Lyaounov function method is utilized to analysis the mean square stability and sufficient conditions are obtained in the form of linear matrix inequalities. Convex combination approach is utilized to handle nonlinear input while parameter uncertainty and external disturbances are both included and the robustness H ∞ performance is analyzed. Finally, a numerical example is shown to compare the different schemes and a mass spring damping system is given to illustrate the effectiveness of the provided method. INDEX TERMS Event-triggered control scheme, H ∞ performance index, nonlinear input.

Resilient adaptive event‐triggered synchronization control of piecewise‐homogeneous Markov jump delayed neural networks under aperiodic DoS attacks

“…Because of the characteristics of DoS attacks, this paper adopts a zero‐input strategy when DoS attacks exist. In Reference 24, the location of the DoS attacks considered is before the Zero‐order Holders (ZOH), which leads to the occurrence of DoS attacks with the control value of the previous trigger moment still continuously input, which does not satisfy the requirements of the zero‐input strategy. Therefore, this paper restricts the DoS attacks to occur between the ZOH and the executor, which is consistent with the zero‐input strategy.…”

Co-Design of Event-Triggered Scheme and H∞ Output Control for Markov Jump Systems Against Deception Attacks

“…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][13][14][15][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. Specially, [17] studies the robust event-triggered control problem of discrete-time uncertain MJSs with nonlinear input.…”

“…By using event-triggered scheme, many outcomes of MJSs about robust control [17], quantized control [18] and finite-time control [19] have been reported. Specially, [17] studies the robust event-triggered control problem of discrete-time uncertain MJSs with nonlinear input. To decrease the waste of network resources, both event-triggered mechanism and input quantization are considered to investigate the issue of guaranteed cost finitetime control of semi-MJSs in [18].…”