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Articles

Management of Inventory for Periodically Reviewed Goods Using Discrete Higher Order Sliding Mode

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REFERENCES

  • H. A. Simon, “On the application of servomechanism theory in the study of production control,” Econometrica, vol. 20, pp. 247–268, 1952.
  • M. Ortega and L. Lin, “Control Theory applications to the production inventory problem: A review,” Int. J. Prod. Res., vol. 42, pp. 2303–2322, 2004.
  • S. Axsäter, “Control theory concepts in production and inventory control,” Int. J. Syst. Sci., vol. 16, no. 2, pp. 161–169, 1985.
  • D. R. Towill, “Dynamic analysis of an inventory and order based production control system,” Int. J. Prod. Res., vol. 20, pp. 671–687, 1982.
  • D. P. Deziel and S. Eilon, “A linear production-inventory control rule,” Product. Engineer, vol. 46, pp. 93–104, 1967.
  • V. I. Utkin, “Variable structure systems with sliding modes,” IEEE Trans. Autom. Control, vol. AC-22, no. 2, pp. 212–222, Apr. 1977.
  • J. Y. Hung, W. B. Gao, and J. C. Hung, “Variable structure control: A survey,” IEEE Trans. Ind. Electron., vol. 40, no. 1, pp. 2–22, Feb. 1993.
  • C. Milosavljevic, “General conditions for the existence of a quasisliding mode on the switching hyperplane in discrete variable structure systems,” Autom. Remote Control (Engl. Transl.), vol. 46. no. 3, pp. 307–314, 1985.
  • S. Sarpturk, S. Y. Istefanopulos and O. Kaynak, “On the stability of discrete-time sliding mode control systems,” IEEE Trans. Autom. Control, vol. 32, pp. 930–932, Oct. 1987.
  • K. Furuta, “Sliding mode control of a discrete system,” Syst. Control Lett., vol. 14, pp. 145–152, 1990.
  • A. Bartoszewicz, “Discrete-time quasi-sliding-mode control strategies,” IEEE Trans. Autom. Control, vol. 45, no. 4, pp. 633–637, Aug. 1998.
  • E. A. Misawa, “Discrete-time sliding mode control: The linear case,” ASME J. Dyn. Syst. Meas. Control, vol. 119, no. 4, pp. 819–821, 1997.
  • B. Bandyopadhyay and S. Janardhanan, Discrete-time Sliding Mode Control, A Multirate Output Feedback Approach. Berlin: Springer-Verlag, 2006.
  • B. Draženović, “The invariance conditions in variable structure systems,” Automatica, vol. 5, no. 3, pp. 287–295, 1969.
  • C. Y. Tang and E. A. Misawa, “Discrete variable structure control for linear multivariable systems,” ASME J. Dyn. Syst. Meas. Control, vol. 122, pp. 783–792, 2000.
  • P. Ignaciuk and A. Bartoszewicz, “Linear-quadratic optimal control strategy for periodic-review inventory systems,” Automatica, vol. 46, pp. 1982–1993, 2010.
  • P. Ignaciuk and A. Bartoszewicz, “LQ optimal and reaching law-based sliding modes for inventory management systems,” Int. J. Syst. Sci., vol. 43, pp. 105–116, 2012.
  • P. Ignaciuk and A. Bartoszewicz, “LQ optimal sliding-mode supply policy for periodic-review perishable inventory systems,” J. Franklin Inst., vol. 349, pp. 1561–1582, 2012.
  • M. Yan and Y. Shi, “Robust discrete-time sliding mode control for uncertain systems with time-varying state delay,” IET Control Theory Appl., vol. 2, pp. 662–674, 2008.
  • A. Levant, “Higher order sliding modes, differentiation and output feedback control,” Int. J. Control, vol. 76, no. 9/10, pp. 924–941, 2003.

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