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DELAYED STATE FEEDBACK
$H_{\infty }$ CONTROL FOR PERIODIC-REVIEW INVENTORY SYSTEMS
- Part of
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- Journal:
- The ANZIAM Journal / Volume 58 / Issue 3-4 / April 2017
- Published online by Cambridge University Press:
- 15 May 2017, pp. 397-405
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- Article
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We investigate delayed state feedback control of a periodic-review inventory management system with perishable goods. The stock under consideration is replenished from multiple supply sources. By using delayed states as well as current states of the inventory system, a delayed feedback
$H_{\infty }$ control strategy is developed to mitigate bullwhip effects of the system. Some conditions on the existence of the delayed feedback 
$H_{\infty }$ controller are derived. It is found through simulation results that the proposed delayed 
$H_{\infty }$ control scheme is capable of improving the performance of the inventory management significantly. In addition, the delayed controller is better than the traditional delay-free 
$H_{\infty }$ controller.
