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plementation. In terms of the intended plant output y   also presenting the same accurate harmful effect (over-
            (  ), Fig. 2 and Table I demonstrate that the performan-  shoot) on the plant.
            ce of the optimized attack herein proposed (in both
            PSO-based and BSA-based versions) is quite similar
            to the original attack. Note that the outcomes shown
            in Fig. 2 indicate that all attack versions provide high
            accuracy with regard to the overshoot parameters Υ,
               ,    , ρ and     specified in ℱ  , ℱ  and ℱ  of (5),
             1  2        s            1, j   2, j  3, j
            described in Section III.





                                                                          (a) Original BSA-based attack











             Fig. 2. Plant input    (  ) for each attack implementation.



            TABLE I. OVERSHOOT ACCURACY

                                                                         (b) Optimized BSA-based attack
                   Original      Optimized    Optimized
                   BSA-based     BSA-based    PSO-based
                   attack        attack       attack

                      1.5007       1.5064        1.5021

                      0.0035       0.0286        0.0134

                 Fig. 3 shows the statistics of the total amount of
            frames that the attacker caused the loss in the control
            and feedback signals to produce the desired overshoot
            on the plant. From Fig. 3 it is possible to note that the
            optimized attack proposed in this paper (in both BSA
            and PSO-based versions) is able to reduce  the total         (c) Optimized PSO-based attack
            amount of frames dropped when compared to the ori-
            ginal BSA-based attack. In the original BSA-based at-  Fig. 3. Statistics on the total of frames lost in each attack
            tack [7] the average of dropped frames is 54.43. In the   version.
            optimized PSO-based attack the average of dropped
            frames is 47.31. The most efficient attack is obtained   Discussion
            with the BSAbased attack, where the average of total
            dropped frames is 46.89. It means that the optimiza-  Generally speaking, the OT level of industrial
            tion proposed  in this  work (specially  the  BSA-based   control networks is characterized by a very stable tra-
            attack) is able to reduce the number of dropped frames   ffic profile. Relations between sensors/actuators  and
            in 13.85%, when compared to the original approach,   controllers  are  traditionally  known  since  the  design
                                                              of the automation task, and they rarely change during



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