LQ optimal sliding mode supply policy for periodic review inventory systems

IEEE Transactions on Automatic Control

Volumn 55, Issue 1, 2010, Pages 269-274

  Ignaciuk, Przemysław ^a   Bartoszewicz, Andrzej ^a  

^a LODZ UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Inventory management; Optimal control; Sliding mode control

Indexed keywords

DYNAMICAL PERFORMANCE; INVENTORY MANAGEMENT; INVENTORY POLICIES; INVENTORY SYSTEMS; LEAD TIME; OPTIMAL CONTROLS; PERIODIC REVIEW; QUADRATIC COSTS; SLIDING MODES; STOCHASTIC APPROACH; SUPPLY SOURCES; TECHNICAL NOTES; TIME VARYING DEMAND; WAREHOUSE CAPACITY;

COMPETITION; CONTROL THEORY; INVENTORY CONTROL; OPTIMIZATION; SLIDING MODE CONTROL; SUPPLY CHAINS;

SUPPLY CHAIN MANAGEMENT;

EID: 75449113610     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2009.2036305     Document Type: Article

References (22)

1. P. H. Zipkin, Foundations of Inventory Management. New York: Mc-Graw-Hill, 2000.
2. M. Ortega and L. Lin, "Control theory applications to the productioninventory problem: A review," Int. J. Prod. Res., vol.42, no.11, pp. 2303-2322, 2004.
3. H. A. Simon, "On the application of servomechanism theory in the study of production control," Econometrica, vol.20, no.2, pp. 247-268, 1952.
4. A. S. White, "Management of inventory using control theory," Int. J. Tech. Manag., vol.17, no.7, pp. 847-860, 1999.
5. R. Neck, "Stochastic control theory and operational research," Eur. J. Oper. Res., vol.17, no.3, pp. 283-301, 1984.
6. L. Rodrigues and E.-K. Boukas, "Piecewise-linear H∞ controller synthesis with applications to inventory control of switched production systems," Automatica, vol.42, no.8, pp. 1245-1254, 2006. (Pubitemid 43983032)
7. S. Minner, "Multiple-supplier inventory models in supply chain management: A review," Int. J. Prod. Econ., vol.81-82, no.1, pp. 265-279, 2003.
8. W. Dullaert, B. Vernimmen, B. Raa, and F.Witlox, "A hybrid approach to designing inbound-resupply strategies," IEEE Intel. Syst., vol.20, no.4, pp. 31-35, Jul./Aug. 2005.
9. C Č. Milosavljević, "General conditions for the existence of a quasisliding mode on the switching hyperplane in discrete variable structure systems," Autom. Remote Control, vol.46, no.3, pp. 307-314, 1985.
10. S. Z. Sarpturk, Y. Istefanopulos, and O. Kaynak, "On the stability of discrete-time sliding mode control systems," IEEE Trans. Autom. Control, vol.AC-32, no.10, pp. 930-932, Oct. 1987.
11. K. Furuta, "Sliding mode control of a discrete system," Syst. Control Lett., vol.14, no.2, pp. 145-152, 1990.
12. G. Bartolini, A. Ferrara, and V. Utkin, "Adaptive sliding mode control in discrete-time systems," Automatica, vol.31, no.5, pp. 769-773, 1995.
13. W. Gao, Y. Wang, and A. Homaifa, "Discrete-time variable structure control systems," IEEE Trans. Ind. Electron., vol.42, no.2, pp. 117-122, Apr. 1995.
14. A. Bartoszewicz, "Discrete time quasi-sliding mode control strategies," IEEE Trans. Ind. Electron., vol.45, no.4, pp. 633-637, Aug. 1998.
15. G. Golo and Č. Milosavljević, "Robust discrete-time chattering free sliding mode control," Syst. Control Lett., vol.41, no.1, pp. 19-28, 2000.
16. A. Bartoszewicz and A. Nowacka, "SMC without the reaching phase -the switching plane design for the third order system," IET Control Theory Appl., vol.1, no.5, pp. 1461-1470, 2007.
17. S. Janardhanan and V. Kariwala, "Multirate output feedback based LQ optimal discrete-time sliding mode control," IEEE Trans. Autom. Control, vol.53, no.1, pp. 367-373, Feb. 2008.
18. P. Ignaciuk and A. Bartoszewicz, "Linear quadratic optimal discrete time sliding mode controller for connection oriented communication networks," IEEE Trans. Ind. Electron., vol.55, no.11, pp. 4013-4021, Nov. 2008.
19. H. Kwakernaak and R. Sivan, Linear Optimal Control Systems. New York: Wiley-Interscience, 1972.
20. J. Zabczyk, "Remarks on the control of discrete-time distributed parameter systems," SIAM J. Control, vol.12, no.4, pp. 721-735, 1974.
21. D. Chu, W.-W. Lin, and C. E. R. Tan, "A numerical method for a generalized algebraic Riccati equation," SIAM J. Control Opt., vol.45, no.4, pp. 1222-1250, 2006.
22. D. Luenberger, Introduction to Dynamic Systems: Theory, Models and Applications. New York: Wiley, 1979.