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Stock Management Problem: Adaptive Fixed-Time Convergent Continuous Controller Design
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DOI：10.1109/TSMC.2019.2930563.png)
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Abstract
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This paper presents an adaptive fixed-time convergent continuous controller designed to solve a stock management problem with the objective to drive stock and supply chain levels at the reference values, subject to loss rate disturbances whose bounds are unknown. The only measurable state of the supply chain is the inventory retailer stock level, whereas the supply line inventory level should be estimated. The designed controller includes a fixed-time convergent differentiator, an adaptive fixed-time convergent disturbance observer, and a fixed-time convergent regulator. The adaptive fixed-time convergent observer is used to estimate a disturbance without excessively increasing the controller gains. The controller design is validated in a case study of stock management. The calculated upper estimate for the total settling (convergence) time and the obtained simulation results confirm the fixed-time convergence and the robustness of the designed controller.
Keywords:
Supply chains
Convergence
Adaptive systems
Control systems
Switched mode power supplies
Drives
Disturbance observers
Adaptive control
nonlinear control system
supply and demand
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