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DELAYED STATE FEEDBACK $H_{\infty }$ CONTROL FOR PERIODIC-REVIEW INVENTORY SYSTEMS

Part of: Controllability, observability, and system structure

Published online by Cambridge University Press:  15 May 2017

B.-L. ZHANG Open the ORCID record for B.-L. ZHANG [Opens in a new window]  and
C. YANG
B.-L. ZHANG*
Affiliation:
College of Science, China Jiliang University, Hangzhou 310018, PR China email zhangbl2006@163.com
C. YANG
Affiliation:
College of Science, China Jiliang University, Hangzhou 310018, PR China email zhangbl2006@163.com
*
✉zhangbl2006@163.com
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Abstract

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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.

Keywords

discrete-time systemsinventory systemssupply chainstime delaydelayed feedback control

MSC classification

Primary: 93B52: Feedback control
Type
Research Article
Information
The ANZIAM Journal , Volume 58 , Issue 3-4 , April 2017 , pp. 397 - 405
Copyright
© 2017 Australian Mathematical Society 

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