SCIENTIA SINICA Informationis, Volume 48, Issue 9: 1198-1213(2018) https://doi.org/10.1360/N112017-00279

## Distributed hybrid-triggered state estimation for complex networked system with network attacks

• AcceptedFeb 3, 2018
• PublishedMay 22, 2018
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### Abstract

A distributed hybrid-triggered $H_\infty$ state estimation is investigated for a class of complex networked systems under networked adversarial attacks. First, we propose a hybrid-triggered communication scheme to achieve the right balance between improving the performance of the basic event-triggered scheme and reducing the network burden. Under the hybrid triggered communication scheme, a novel state estimation model is established that assembles the items of triggered functions and networked adversarial attacks. Then, by using a stochastic analysis technique and the Lyapunov stability theory, some sufficient conditions for the stochastic stability of systems are obtained. In addition, a set of desired $H_\infty$ estimation gains and trigger parameters can be simultaneously derived by solving some linear matrix inequalities. Finally, a numerical example including five nodes is provided to demonstrate the effectiveness of the proposed approach.

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• Figure 1

The framework of hybrid-triggered state estimation for complex networked systems

• Figure 2

(Color online) Stochastic adversarial attack variables $a_{yi}^{(1)}(t)$ and $a_{yi}^{(2)}(t)$ for five nodes $i=1,2,\ldots,5~$

• Figure 3

(Color online) Estimation error signal $\tilde{z}(t)$

• Figure 4

(Color online) Magnitude $\left|~e(t)~\right|~$ of the state estimation and disturbance $w(t)$

• Figure 5

(Color online) Release instants and intervals of node 1

• Figure 6

(Color online) Release instants and intervals of node 2

• Figure 7

(Color online) Release instants and intervals of node 3

• Figure 8

(Color online) Release instants and intervals of node 4

• Figure 9

(Color online) Release instants and intervals of node 5

• Table 1   Hybrid trigger times for each node of network systems
 Node 1 Node 2 Node 3 Node 4 Node 5 Time-triggered times 13 18 24 39 48 Event-triggered times 50 61 67 67 73 Hybrid-triggered times 63 79 91 106 121 Average release period 0.317 0.253 0.220 0.189 0.165 Percent of transmission (%) 31.5 39.5 45.5 53.0 60.5
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