Shouguang Wang
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Abstract
In this article, an algorithm is proposed to design liveness-enforcing supervisors for systems of simple sequential processes with resources (S3PR) based on complementary places. Firstly, a mixed integer programming (MIP) based deadlock detection method is used to find unmarked strict minimal siphons from an infinite-capacity net. Next, the finite-capacity net, in which liveness can be enforced, is obtained by adding capacity function to the infinite-capacity net. Finally, complementary-place transformation is used to transform the finite-capacity net into an infinite-capacity net. This article focuses on adding a complementary place to each operation place that is related to unmarked siphons, deals with the deadlock problem from a new view point, and hence advances the deadlock control theory. Compared with the existing methods, the new policy is easier to implement for real industrial systems. More importantly, design of a complementary-place supervisor is very easy. Finally, in some cases, the new policy can obtain a structurally simpler supervisor with more permissive behavior than the existing methods do. A flexible manufacturing systems (FMS) example is used to compare the proposed policy with some other methods.
- Chu, F. and Xie, X. L. 1997. Deadlock analysis of Petri nets using siphons and mathematical programming. IEEE Trans. Robot. Autom. 13, 6, 793--804.Google Scholar
- Ezpeleta, J., Colom, J. M., and Martinez, J. 1995. A Petri net based deadlock prevention policy for Flexible manufacturing systems. IEEE Trans. Rob. Autom. 11, 2, 173--184.Google ScholarCross Ref
- Fanti, M. P. and Zhou, M. C. 2004. Deadlock control methods in automated manufacturing systems. IEEE Trans. Syst. Man Cybern. Part A 34, 1, 5--22. Google ScholarDigital Library
- Ghaffarei, A., Rezg, N., and Xie, X. L. 2003. Design of a live and maximally permissive Petri net controller using the theory of regions. IEEE Trans. Rob. Autom. 19, 1, 137--142.Google ScholarCross Ref
- Giua, A. and Seatzu, C. 2008. Modeling and supervisory control of railway networks using Petri nets. IEEE Trans. Autom. Sci. Eng. 5, 3, 431--476.Google Scholar
- Hu, H. S. and Li, Z. W. 2008. An optimal-elementary-siphons based iterative deadlock prevention policy for flexible manufacturing systems. Int. J. Adv. Manuf. Technol. 38, 3--4, 309--320.Google ScholarCross Ref
- Hu, H. S. and Li, Z. W. 2009a. Efficient deadlock prevention policy in automated manufacturing systems using shared resources. Int. J. Adv. Manuf. Technol. 40, 50--6, 566--571.Google ScholarCross Ref
- Hu, H. S. and Li, Z. W. 2009b. Modeling and scheduling for manufacturing grid work-flows using timed Petri nets. Int. J. Adv. Manuf. Technol. 42, 5--6, 553--568.Google ScholarCross Ref
- Hu, H. S., Zhou, M. C., and Li, Z. W. 2009. Liveness enforcing supervision of video streaming systems using nonsequential Petri nets. IEEE Trans. Multimedia 11, 8, 1446--1456. Google ScholarDigital Library
- Hu, H. S., Zhou, M. C., and Li, Z. W. 2010a. Low-cost high-performance supervision in ratio-enforced automated manufacturing systems using timed Petri nets. To appear in IEEE Trans. Autom. Sci. Engin.Google ScholarCross Ref
- Hu, H. S., Zhou, M. C., and Li, Z. W. 2010b. Algebraic synthesis of timed supervisor for automated manufacturing systems using Petri nets. To appear in IEEE Trans. Autom. Sci. Engin.Google ScholarCross Ref
- Hu, H. S., Zhou, M. C., and Li, Z. W. 2010c. Supervisor design to enforce production ratio and liveness using Petri nets.To appear in IEEE Trans. Syst. Man Cybern.-Part A. Google ScholarDigital Library
- Huang, Y. S., Jeng, M. D., Xie, X. L., and Chung, D. H. 2006. Siphon-based deadlock prevention policy for flexible manufacturing systems. IEEE Trans. Syst. Man Cybern. Part A 36, 6, 1248--1256. Google ScholarDigital Library
- Huang, Y. S., Jeng, M. D., Xie, X. L., and Chung, S. L. 2001a. A deadlock prevention policy for flexible manufacturing systems using siphons. In Proceedings of the IEEE International Conference on Robotics and Automation. 541--546.Google Scholar
- Huang, Y. S., Jeng, M. D., Xie, X. L., and Chung, S. L. 2001b. Deadlock prevention policy based on Petri nets and siphons. Int. J. Prod. Res. 39, 2, 283--305.Google ScholarCross Ref
- Jeng, M. D. 1997. A Petri net synthesis theory for modeling flexible manufacturing systems. IEEE Trans. Syst. Man Cybern. Part B 27, 2, 169--183. Google ScholarDigital Library
- Jeng, M. D. and Dicesare, F. 1995. Synthesis using resource control nets for modeling shared-resource systems. IEEE Trans. Rob. Autom. 11, 3, 317--327.Google ScholarCross Ref
- Jeng, M. D., Xie, X. L., and Chung, S. L. 2004. ERCN* merged nets for modeling degraded behavior and parallel processes in semiconductor manufacturing systems. IEEE Trans. Syst. Man Cybern. Part A 34, 1, 102--112. Google ScholarDigital Library
- Jeng, M. D., Xie, X. L., and Peng, M. Y. 2002. Process nets with resources for manufacturing modeling and their analysis. IEEE Trans. Rob. Autom. 18, 6, 875--889.Google ScholarCross Ref
- Li, Z. W. and Zhao, M. 2008. On controllability of dependent siphons for deadlock prevention in generalized Petri nets. IEEE Trans. Syst., Man, Cybern. A Syst., Humans, 38, 2, 369--384. Google ScholarDigital Library
- Li, Z. W. and Zhou, M. C. 2004. Elementary siphons of Petri nets and their application to deadlock prevention in flexible manufacturing systems. IEEE Trans. Syst. Man Cybern. Part A 34, 1, 38--51. Google ScholarDigital Library
- Li, Z. W. and Zhou, M. C. 2006a. Clarifications on the definitions of elementary siphons of Petri nets. IEEE Trans. Syst. Man Cybern. Part A 36, 6, 1227--1229. Google ScholarDigital Library
- Li, Z. W. and Zhou, M. C. 2006b. Two-stage method for synthesizing liveness-enforcing supervisors for flexible manufacturing systems using Petri nets. IEEE Trans. Ind. Inf. 2, 4, 313--325.Google ScholarCross Ref
- Li, Z. W. and Zhou, M. C. 2008a. Control of elementary and dependent siphons in Petri nets and their application. IEEE Trans. Syst. Man Cybern. Part A 38, 1, 133--148. Google ScholarDigital Library
- Li, Z. W. and Zhou, M. C. 2008b. On siphon computation for deadlock control in a class of Petri nets. IEEE Trans. Syst. Man Cybern. Part A 38, 3, 667--679. Google ScholarDigital Library
- Li, Z. W. and Zhou, M. C. 2009. Deadlock Resolution in Automated Manufacturing Systems: A Novel Petri Net Approach. Springer. Google ScholarDigital Library
- Li, Z. W. and Zhou, M. C. 2010. Synthesis of structurally simple supervisors enforcing generalized mutual exclusion constraints in Petri nets. IEEE Trans. Syst. Man Cybern. Part C 40, 3, 330--340. Google ScholarDigital Library
- Li, Z. W., Hu, H. S., and Wang, A. R. 2007a. Design of liveness-enforcing supervisors for flexible manufacturing systems using Petri nets. IEEE Trans. Syst. Man Cybern. Part B 37, 4, 517--526. Google ScholarDigital Library
- Li, Z. W., Uzam, M., and Zhou, M. C. 2007b. Deadlock control of concurrent manufacturing processes sharing finite resources. Int. J. Adv. Manuf. Technol. 38, 787--800.Google ScholarCross Ref
- Li, Z. W., Zhou, M. C., and Uzam, M. 2007c. Deadlock control policy for a class of petri nets without complete siphon enumeration. IET Control Theory Appl. 1, 6, 1594--1605.Google ScholarCross Ref
- Li, Z. W., Zhou, M. C., and Wu, N. Q. 2008b. A survey and comparison of Petri net-based deadlock prevention policies for flexible manufacturing systems. IEEE Trans. Syst. Man Cybern. Part C 38, 2, 17--188. Google ScholarDigital Library
- Li, Z. W., Zhou, M. C., and Jeng, M. D. 2008a. A maximally permissive deadlock prevention policy for FMS based on Petri net siphon control and the theory of regions. IEEE Trans. Autom. Sci. Eng. 5, 1, 182--188.Google ScholarCross Ref
- Liu, D., Li, Z. W., and Zhou, M. C. 2010. Liveness of an Extended S3PR. Automatica 46, 6, 1008--1018. Google ScholarDigital Library
- Luo, J. L., Wu, W. M., Su, H. Y., and Chu, J. 2009. Supervisor Synthesis for Enforcing a class of GMECs on Petri Nets. IEEE Trans. Syst. Man Cybernetics, Part A 39, 36, 1237--1246. Google ScholarDigital Library
- Moody, J., Yamalidou, K., Lemmon, M., and Antsaklis, P. 1996. Feedback control of Petri nets based on place invariants. Automatica, 32, 1, 15--28. Google ScholarDigital Library
- Murata, T. 1989. Petri nets: Property, analysis, and applications. In Proc. IEEE 77, 4, 41--80.Google ScholarCross Ref
- Park, J. and Reveliotis, S. A. 2001. Deadlock avoidance in sequential resource allocation systems with multiple resource acquisitions and flexible routings. IEEE Trans. Autom. Control 46, 10, 1572--1583.Google ScholarCross Ref
- Piroddi, L., Cordone, R., and Fumagalli, I. 2008. Selective siphon control for deadlock prevention in Petri nets. IEEE Trans. Syst. Man Cybern. Part A 38, 6, 1337--1348. Google ScholarDigital Library
- Piroddi, L., Cordone, R., and Fumagalli, I. 2009. Combined siphon and marking generation for deadlock prevention in Petri nets. IEEE Trans. Syst. Man Cybern. Part A 39, 3, 650--661. Google ScholarDigital Library
- Starke P H. 2003. INA: Integrated Net Analyzer. http://www2.informatik.hu-berlin.de/~starke/ina.html.Google Scholar
- Uzam, M. 2002. An optimal deadlock prevention policy for flexible manufacturing systems using Petri net models with resources and the theory of regions. Int. J. Adv. Manuf. Technol. 19, 3, 192--208.Google ScholarCross Ref
- Uzam, M. 2004. The use of Petri net reduction approach for an optimal deadlock prevention policy for flexible manufacturing systems. Int. J. Adv. Manuf. Technol. 23, 3--4, 204--219.Google ScholarCross Ref
- Uzam, M., Li, Z. W., and Zhou, M. C. 2007. Identification and elimination of redundant control places in Petri net based liveness enforcing supervisors of FMS. Int. J. Adv. Manuf. Technol. 35, 1--2, 150--168.Google ScholarCross Ref
- Uzam, M., and Zhou, M. C. 2006. An improved iterative synthesis method for liveness enforcing supervisors of flexible manufacturing systems. Int. J. Prod. Res. 44, 10, 1987--2030.Google ScholarCross Ref
- Uzam, M., and Zhou, M. C. 2007b. An iterative synthesis approach to Petri net-based deadlock prevention policy for flexible manufacturing systems. IEEE Trans. Syst. Man Cybern. Part A 37, 3, 362--371. Google ScholarDigital Library
- Wang, S. G., and Yan, G. F. 2005. A method for the design of Petri net controller enforcing general linear constraints. J. Softw. 16, 3, 419--426.Google ScholarCross Ref
- Wang, S. G., Yan, G. F., and Jiang, J. P. 2003. Application of net reduction to feedback controller design of Petri nets. J. Softw. 14, 6, 1037--1042 (in Chinese).Google Scholar
- Wu, W. M., Su, H. Y., and Chu, J. 2003. Synthesis of Petri nets controller for discrete event systems based on finite capacity places. Control Theory Appl. 228--238.Google Scholar
- Wysk, R. A., Yang, N. S., and Joshi, S. 1991. Detection of deadlocks in flexible manufacturing cells. IEEE Trans. Robot. Autom. 7, 6, 853--859.Google ScholarCross Ref
- Zhou, M. C., and Dicesare, F. 1991. Parallel and sequential mutual exclusions for Petri net modeling of manufacturing systems with shared resources. IEEE Trans. Rob. Autom. 7, 4, 515--527.Google ScholarCross Ref
- Zhou, M. C., and Dicesare, F. 1993. Petri Net Synthesis for Discrete Event Control of Manufacturing Systems. Kluwer Academic Publishers, London.Google Scholar
- Zhou, M. C., Dicesare, F., and Desrochers, A. A. 1992. A hybrid methodology for synthesis of Petri nets for manufacturing systems. IEEE Trans. Rob. Autom. 8, 3, 350--361.Google ScholarCross Ref
- Zhou, M. C., Dicesare, F., and Rudolph, D. 1992. Design and implementation of a Petri net based supervisor for a flexible manufacturing system. IFAC J. Automatica 28, 6, 1199--1208. Google ScholarDigital Library
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- Design of Liveness-Enforcing Supervisors for S3PR Based on Complementary Places
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