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Volume 8 Issue 3
Mar.  2021

IEEE/CAA Journal of Automatica Sinica

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Bo Huang, MengChu Zhou, Cong Wang, Abdullah Abusorrah and Yusuf Al-Turki, "Deadlock-free Supervisor Design for Robotic Manufacturing Cells With Uncontrollable and Unobservable Events," IEEE/CAA J. Autom. Sinica, vol. 8, no. 3, pp. 597-605, Mar. 2021. doi: 10.1109/JAS.2020.1003207
Citation: Bo Huang, MengChu Zhou, Cong Wang, Abdullah Abusorrah and Yusuf Al-Turki, "Deadlock-free Supervisor Design for Robotic Manufacturing Cells With Uncontrollable and Unobservable Events," IEEE/CAA J. Autom. Sinica, vol. 8, no. 3, pp. 597-605, Mar. 2021. doi: 10.1109/JAS.2020.1003207

Deadlock-free Supervisor Design for Robotic Manufacturing Cells With Uncontrollable and Unobservable Events

doi: 10.1109/JAS.2020.1003207
Funds:  This work was in part supported by the National Natural Science Foundation of China (61773206), the Natural Science Foundation of Jiangsu Province of China (BK20170131), Jiangsu Overseas Visiting Scholar Program for University Prominent Young & Middle-aged Teachers and Presidents (2019-19), and the Deanship of Scientific Research (DSR) at King Abdulaziz University (RG-20-135-38)
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  • In this paper, a deadlock prevention policy for robotic manufacturing cells with uncontrollable and unobservable events is proposed based on a Petri net formalism. First, a Petri net for the deadlock control of such systems is defined. Its admissible markings and first-met inadmissible markings (FIMs) are introduced. Next, place invariants are designed via an integer linear program (ILP) to survive all admissible markings and prohibit all FIMs, keeping the underlying system from reaching deadlocks, livelocks, bad markings, and the markings that may evolve into them by firing uncontrollable transitions. ILP also ensures that the obtained deadlock-free supervisor does not observe any unobservable transition. In addition, the supervisor is guaranteed to be admissible and structurally minimal in terms of both control places and added arcs. The condition under which the supervisor is maximally permissive in behavior is given. Finally, experimental results with the proposed method and existing ones are given to show its effectiveness.

     

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  • [1]
    Q. Zhu, M. Zhou, Y. Qiao, and N. Wu, “Petri net modeling and scheduling of a close-down process for time-constrained single-arm cluster tools,” IEEE Trans. Syst.,Man,Cybern. Syst., vol. 48, no. 3, pp. 389–400, Mar. 2018. doi: 10.1109/TSMC.2016.2598303
    [2]
    N. Ran, H. Su, A. Giua, and C. Seatzu, “Codiagnosability analysis of bounded Petri nets,” IEEE Trans. Autom. Control, vol. 63, no. 4, pp. 1192–1199, Apr. 2018. doi: 10.1109/TAC.2017.2742659
    [3]
    N. Ran, A. Giua, and C. Seatzu, “Enforcement of diagnosability in labeled Petri nets via optimal sensor selection,” IEEE Trans. Autom. Control, vol. 64, no. 7, pp. 2997–3004, Jul. 2019. doi: 10.1109/TAC.2018.2874020
    [4]
    J. Sha, Y. Du, and L. Qi, “A user requirement oriented web service discovery approach based on logic and threshold Petri net,” IEEE/CAA J. Autom. Sinica, vol. 6, no. 6, pp. 1528–1542, Nov. 2019. doi: 10.1109/JAS.2019.1911657
    [5]
    J. Zhou, J. Wang, and J. Wang, “A simulation engine for stochastic timed Petri nets and application to emergency healthcare systems,” IEEE/CAA J. Autom. Sinica, vol. 6, no. 4, pp. 969–980, Jul. 2019. doi: 10.1109/JAS.2019.1911576
    [6]
    S. Wang, D. You, and M. Zhou, “A necessary and sufficient condition for a resource subset to generate a strict minimal siphon in S4PR,” IEEE Trans. Autom. Control, vol. 62, no. 8, pp. 4173–4179, Aug. 2017. doi: 10.1109/TAC.2017.2677859
    [7]
    D. You, S. Wang, and C. Seatzu, “Verification of fault-predictability in labeled Petri nets using predictor graphs,” IEEE Trans. Autom. Control, vol. 64, no. 10, pp. 4353–4360, Oct. 2019. doi: 10.1109/TAC.2019.2897272
    [8]
    E. Badouel and P. Darondeau, “Theory of regions, ” in Advanced Course on Petri Nets. Springer, 1996, pp. 529–586.
    [9]
    M. Uzam, “An optimal deadlock prevention policy for flexible manufacturing systems using Petri net models with resources and the theory of regions,” Int. J. Adv. Manuf. Tech., vol. 19, no. 3, pp. 192–208, Feb. 2002. doi: 10.1007/s001700200014
    [10]
    Y. Chen, Z. Li, M. Khalgui, and O. Mosbahi, “Design of a maximally permissive liveness-enforcing Petri net supervisor for flexible manufacturing systems,” IEEE Trans. Autom. Sci. Eng., vol. 8, no. 2, pp. 374–393, Apr. 2011. doi: 10.1109/TASE.2010.2060332
    [11]
    Y. Huang, Y. Pan, and M. Zhou, “Computationally improved optimal deadlock control policy for flexible manufacturing systems,” IEEE Trans. Syst.,Man,Cybern. A, vol. 42, no. 2, pp. 404–415, Mar. 2012. doi: 10.1109/TSMCA.2011.2164241
    [12]
    B. Huang, M. Zhou, Y. Huang, and Y. Yang, “Supervisor synthesis for FMS based on critical activity places,” IEEE Trans. Syst.,Man,Cybern. Syst., vol. 49, no. 5, pp. 881–890, May 2019. doi: 10.1109/TSMC.2017.2732442
    [13]
    A. Ghaffari, N. Rezg, and X. Xie, “Design of a live and maximally permissive Petri net controller using the theory of regions,” IEEE Trans. Robot. Autom., vol. 19, no. 1, pp. 137–141, Feb. 2003. doi: 10.1109/TRA.2002.807555
    [14]
    S. Wang, D. You, and C. Wang, “Optimal supervisor synthesis for Petri nets with uncontrollable transitions: A bottom-up algorithm,” Inform. Sciences, vol. 363, pp. 261–273, Oct. 2016. doi: 10.1016/j.ins.2015.11.003
    [15]
    D. You, S. Wang, Z. Li, and C. Wang, “Computation of an optimal transformed linear constraint in a class of Petri nets with uncontrollable transitions,” IEEE Access, vol. 5, pp. 6780–6790, Apr. 2017. doi: 10.1109/ACCESS.2017.2696029
    [16]
    J. O. Moody and P. J. Antsaklis, “Petri net supervisors for DES with uncontrollable and unobservable transitions,” IEEE Trans. Autom. Control, vol. 45, no. 3, pp. 462–476, Mar. 2000. doi: 10.1109/9.847725
    [17]
    J. Luo and M. Zhou, “Petri-net controller synthesis for partially controllable and observable discrete event systems,” IEEE Trans. Autom. Control, vol. 62, no. 3, pp. 1301–1313, Mar. 2017. doi: 10.1109/TAC.2016.2586604
    [18]
    M. Qin, Z. Li, M. Zhou, M. Khalgui, and O. Mosbahi, “Deadlock prevention for a class of Petri nets with uncontrollable and unobservable transitions,” IEEE Trans. Syst.,Man,Cybern. A, vol. 42, no. 3, pp. 727–738, May 2012. doi: 10.1109/TSMCA.2011.2169955
    [19]
    D. You, S. Wang, and C. Seatzu, “Supervisory control of a class of Petri nets with unobservable and uncontrollable transitions,” Inform. Sciences, vol. 501, pp. 635–654, Oct. 2019. doi: 10.1016/j.ins.2018.10.018
    [20]
    B. Huang, M. Zhou, G. Zhang, A. C. Ammari, A. Alabdulwahab, and A. G. Fayoumi, “Lexicographic multiobjective integer programming for optimal and structurally minimal Petri net supervisors of automated manufacturing systems,” IEEE Trans. Syst.,Man,Cybern. Syst., vol. 45, no. 11, pp. 1459–1470, Nov. 2015. doi: 10.1109/TSMC.2015.2415765
    [21]
    B. Hrúz and M. Zhou, Modeling and Control of Discreteevent Dynamic Systems: With Petri Nets and Other Tools. London, UK: Springer, 2007.
    [22]
    B. Huang, Y. Pei, Y. Yang, M. Zhou, and J. Li, “Near-optimal and minimal PN supervisors of FMS with uncontrollability and unobservability, ” in Proc. IEEE Int. Conf. Systems, Man, and Cybernetics. Banff, Canada, 2017, pp. 3715–3720.
    [23]
    M. Uzam and M. Zhou, “An iterative synthesis approach to Petri net-based deadlock prevention policy for flexible manufacturing systems,” IEEE Trans. Syst.,Man,Cybern. A, vol. 37, no. 3, pp. 362–371, May 2007. doi: 10.1109/TSMCA.2007.893484
    [24]
    K. Yamalidou, J. Moody, M. Lemmon, and P. Antsaklis, “Feedback control of Petri nets based on place invariants,” Automatica, vol. 32, no. 1, pp. 15–28, Jan. 1996. doi: 10.1016/0005-1098(95)00103-4
    [25]
    Y. Chen and Z. Li, “Design of a maximally permissive liveness-enforcing supervisor with a compressed supervisory structure for flexible manufacturing systems,” Automatica, vol. 47, no. 5, pp. 1028–1034, May 2011. doi: 10.1016/j.automatica.2011.01.070
    [26]
    Y. Chen and K. Barkaoui, “Maximally permissive Petri net supervisors for flexible manufacturing systems with uncontrollable and unobservable transitions,” Asian J. Control, vol. 16, no. 6, pp. 1646–1658, Nov. 2014. doi: 10.1002/asjc.811
    [27]
    R. Zhu, “A deadlock prevention approach for flexible manufacturing systems with uncontrollable transitions in their Petri net models,” Asian J. Control, vol. 14, no. 1, pp. 217–229, Jan. 2012. doi: 10.1002/asjc.369
    [28]
    B. Huang, H. Zhu, G. Zhang, and X. Lu, “On further reduction of constraints in nonpure Petri net supervisors for optimal deadlock control of flexible manufacturing systems,” IEEE Trans. Syst.,Man,Cybern. Syst., vol. 45, no. 3, pp. 542–543, Mar. 2015. doi: 10.1109/TSMC.2014.2347915
    [29]
    Y. Fu, M. Zhou, X. Guo, and L. Qi, “Scheduling dual-objective stochastic hybrid flow shop with deteriorating jobs via bi-population evolutionary algorithm,” IEEE Trans. Systems,Man,and Cybernetics:Systems, vol. 50, no. 12, pp. 5037–5048, Dec. 2020.
    [30]
    X. Guo, M. Zhou, S. Liu, and L. Qi, “Lexicographic multiobjective scatter search for the optimization of sequence-dependent selective disassembly subject to multiresource constraints,” IEEE Trans. Cybernetics, vol. 50, no. 7, pp. 3307–3317, Jul. 2020.
    [31]
    Q. Kang, S. W. Feng, M. Zhou, A. C. Ammari, and K. Sedraoui, “Optimal load scheduling of plug-in hybrid electric vehicles via weight-aggregation multi-objective evolutionary algorithms,” IEEE Trans. Intelligent Transportation Systems, vol. 18, no. 9, pp. 2557–2568, Sept. 2017.
    [32]
    Z. Cao, C. Lin, M. Zhou, and R. Huang, “Scheduling semiconductor testing facility by using cuckoo search algorithm with reinforcement learning and surrogate modeling,” IEEE Trans. Automation Science and Engineering, vol. 16, no. 2, pp. 825–837, Apr. 2019.
    [33]
    H. Yuan, M. Zhou, Q. Liu, and A. Abusorrah, “Fine-grained resource provisioning and task scheduling for heterogeneous applications in distributed green clouds,” IEEE/CAA J. Autom. Sinica, vol. 7, no. 5, pp. 1380–1393, Sept. 2020.
    [34]
    P. Zhang and M. Zhou, “Dynamic cloud task scheduling based on a two-stage strategy,” IEEE Trans. Automation Science and Engineering, vol. 15, no. 2, pp. 772–783, Apr. 2018.

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    Highlights

    • A supervisor synthesis method to prevent deadlocks for robotic manufacturing cells with uncontrollable and unobservable events is proposed.
    • The obtained supervisor is admissible and structurally minimal.
    • The condition under which the supervisor is maximally permissive in behavior is given.
    • The method can deal with the nets whose crucial transitions may be uncontrollable or unobservable.

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