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Stabilization of complex manufacturing systems with state impulsiveness by hybrid sliding mode control. (English) Zbl 1427.93047

Summary: This paper proposes a hybrid sliding mode controller to stabilize a complex manufacturing system with impulsive phenomena. Newly developed sufficient conditions ensure the proposed control to effectively work on the multi-mode manufacturing system. A manufacturing/re-manufacturing system is presented as an example to show the effectiveness of the proposed controller. Numerical solutions are developed to set up the controller to govern the two-mode manufacturing system. The designed manufacturing control strategy will help produce various products in a timely manner to keep up with the demands and shorten the delay in current competitive and global market.

MSC:

93B12 Variable structure systems
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
93D20 Asymptotic stability in control theory
93C95 Application models in control theory
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[1] Andrea Bacciotti and Luisa Mazzi. Asymptotic controllability by means of eventually periodic switching rules. SIAM Journal on Control and Optimization, 49(2):476-497, 2011. · Zbl 1217.93028
[2] Chaohong Cai, Andrew R Teel, and Rafal Goebel. Smooth lyapunov functions for hybrid systems part ii:(pre) asymptotically stable compact sets. IEEE Transactions on Automatic Control, 53(3):734-748, 2008. · Zbl 1367.93558
[3] George Chryssolouris, Konstantinos Efthymiou, Nikolaos Papakostas, Dimitris Mourtzis, and Aris Pagoropoulos. Flexibility and complexity: is it a trade-off? International Journal of Production Research, 51(23-24):6788-6802, 2013.
[4] G Davrazos and NT Koussoulas. A review of stability results for switched and hybrid systems. In Mediterranean Conference on Control and Automation. Citeseer, 2001.
[5] R. Donner, B. Scholz-Reiter, and U. Hinrichs.Nonlinear characterization of the performance of production and logistics networks. Journal of Manufacturing Systems, 27(2):84 - 99, 2008. Logistics and planning for manufacturing systems.
[6] Christopher Edwards and Sarah K Spurgeon.Dynamic sliding mode control and output feedback. Sliding Mode Control in Engineering, pages 109-127, 2002. 300K. Mashab and H. Xu and J. Ye Figure 2: Dynamical performance of the manufacturing system (20)-(21) with state impulsiveness Figure 3: Dynamical performance of the manufacturing system (20)-(21) with state impulsiveness via hybrid sliding mode control Stabilization of Complex Manufacturing Systems301 Figure 4: Slide mode manifolds
[7] Youguo He, Lei Zhao, and Muyong Zhang. Sliding mode control for a class of uncertain neutral delay systems. Procedia Engineering, 15:1181-1185, 2011.
[8] M. Johansson and A. Rantzer. Computation of piecewise quadratic lyapunov functions for hybrid systems. In 1997 European Control Conference (ECC), pages 2005-2010, July 1997.
[9] Efthymiou K., Mourtzis D., Pagoropoulos A., Papakostas N., and George Chryssolouris. Manufacturing systems complexity analysis methods review. International Journal of Computer Integrated Manufacturing, 29(9):1025-1044, 2016.
[10] H. Lin and P. J. Antsaklis. Stability and stabilizability of switched linear systems: A survey of recent results. IEEE Transactions on Automatic Control, 54(2):308-322, Feb 2009. · Zbl 1367.93440
[11] Xinzhi Liu and Peter Stechlinski. Switching and impulsive control algorithms for nonlinear hybrid dynamical systems. Nonlinear Analysis: Hybrid Systems, 27(3):307 - 322, 2018. · Zbl 1378.93057
[12] Robert Shorten, Fabian Wirth, Oliver Mason, Kai Wulff, and Christopher King. Stability criteria for switched and hybrid systems. SIAM Review, 49(4):545-592, 2007. · Zbl 1127.93005
[13] Zhendong Sun. Switched linear systems: control and design. Springer Science & Business Media, 2006. · Zbl 1137.93405
[14] Yuan-Wei Tseng and Yu-Ning Wang.Sliding mode control with state derivative output feedback in reciprocal state space form. Abstract and Applied Analysis, 2013, 2013. · Zbl 1421.93035
[15] Yue-E Wang, Jun Zhao, and Bin Jiang. Stabilization of a class of switched linear neutral systems under asynchronous switching. IEEE Transactions on Automatic Control, 58(8):2114-2119, 2013. · Zbl 1369.93511
[16] Xiang Xie, Honglei Xu, and Rong Zhang.Exponential stabilization of impulsive switched systems with time delays using guaranteed cost control. Abstract and Applied Analysis, 2014, 2014. · Zbl 1406.93243
[17] Honglei Xu and Kok Lay Teo. H optimal stabilization of a class of uncertain impulsive systems: an lmi approach.Journal of Industrial and Management Optimization, 5:153-159, 2006. 302K. Mashab and H. Xu and J. Ye · Zbl 1158.93343
[18] Honglei Xu and Kok Lay Teo. Stabilizability of discrete chaotic systems via unified impulsive control. International Journal of Bifurcation and Chaos, 374(2):235-240, 2006. · Zbl 1235.70138
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