SCIENTIA SINICA Informationis, Volume 51 , Issue 8 : 1302(2021) https://doi.org/10.1360/SSI-2020-0166

Memory-based event-triggered secure state estimation of cyber-physical systems

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  • ReceivedAug 16, 2020
  • AcceptedDec 5, 2020
  • PublishedAug 9, 2021


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  • Figure 1

    (Color online) (a) State responses and (b) triggering time instants and intervals under the estimator without considering the false data injection attacks

  • Figure 2

    (Color online) (a) State responses and (b) triggering time instants and intervals under the estimator considering the false data injection attacks

  • Figure 3

    (Color online) (a) State responses and (b) triggering time instants and intervals under the conventional event-triggered scheme

  • Figure 4

    (Color online) (a) State responses and (b) triggering time instants and intervals under the memory-based event-triggered scheme

  • Table 1   Comparison of simulation with false data injection attacks
    Cases of designing estimator Parameters Attack signals Simulation results
    Case 1 Parameter 1 $g(t)=\tanh(e(t))$, $\chi_1=0.6$ Figure 1
    Case 2 Parameter 2 $g(t)=\tanh(e(t))$, $\chi_1=0.6$ Figure 2
  • Table 2   $L$, $\Phi$ and $\mathscr~N$ (number of triggering times) under different $h$
    $h=0.01$ $h=0.1$ $h=0.2$
    $L$ $\left[~{\begin{array}{*{20}{c}}~-1.1206~&~1.6454~\\ ~~~~1.3809~&~~-2.1832~\end{array}}~\right]$ $\left[~{\begin{array}{*{20}{c}}~~-1.9679~~&~~0.5243\\ ~~~~2.2300~&~~-1.2867~\end{array}}~\right]$ $\left[~{\begin{array}{*{20}{c}}~~-1.5413~~&~~0.2454~\\ ~~~~1.9691~&~~-1.2863~\end{array}}~\right]$
    $\Phi$ $\left[~{\begin{array}{*{20}{c}}~304.6578~&~-122.0442~\\ ~-122.0442~&~938.2760~\end{array}}~\right]$ $\left[~{\begin{array}{*{20}{c}}~90.4011~&~62.9115~\\ ~~~62.9115~&~223.4876~\end{array}}~\right]$ $\left[~{\begin{array}{*{20}{c}}~~40.8925~~&~31.6947~\\ ~~~31.6947~~&~91.3931\end{array}}~\right]$
    $\mathscr~N$ 162 135 122

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