scholarly journals Reaching Law Based Discrete Time Sliding Mode Inventory Management Strategy

IEEE Access ◽  
2016 ◽  
Vol 4 ◽  
pp. 10051-10058 ◽  
Author(s):  
Andrzej Bartoszewicz ◽  
Pawel Latosinski
Keyword(s):  
Inventory Management ◽  
Discrete Time ◽  
Management Strategy ◽  
Sliding Mode ◽  
Reaching Law

A Novel Variable Exponential Discrete Time Sliding Mode Reaching Law

2021 ◽  
pp. 1-1
Author(s):  
Xigang Chen ◽  
Yangmin Li ◽  
Haifeng Ma ◽  
Hui Tang ◽  
Yanlin Xie
Keyword(s):  
Discrete Time ◽  
Sliding Mode ◽  
Reaching Law

scholarly journals Reaching Law Based Sliding Mode Control of Sampled Time Systems

Energies ◽  
2021 ◽  
Vol 14 (7) ◽  
pp. 1882
Author(s):  
Piotr Leśniewski ◽  
Andrzej Bartoszewicz
Keyword(s):  
Sliding Mode Control ◽  
Discrete Time ◽  
Sliding Mode ◽  
Rate Of Change ◽  
Reaching Law ◽  
Mode Control ◽  
Sliding Motion ◽  
Control Precision ◽  
Continuous Time Systems ◽  
Time Systems

In this paper, discrete time reaching law-based sliding mode control of continuous time systems is considered. In sliding mode control methods, usually the assumption of bounded absolute values of disturbances is used. However in many cases, the rate of change of the disturbance is also bounded. In the presented approach, this knowledge is used to improve the control precision and reduce the undesirable chattering. Another advantage of the proposed method is that the disturbance does not have to satisfy the matching conditions. In the paper two new reaching laws are analyzed, one of them ensures the switching quasi-sliding motion and the other the non-switching motion. For both of them, the robustness is assessed by calculating the quasi-sliding mode band width, as well as the greatest possible state error values. Specifically, the state errors are not considered only at the sampling instants, as is usual for discrete time systems, but the bounds on the continuous values “between” the sampling instants are also derived. Then, the proposed approaches are compared and analyzed with respect to energy expenditure of the control signal.

A generalized reaching law for discrete time sliding mode control

Automatica ◽  
2015 ◽  
Vol 52 ◽  
pp. 83-86 ◽  
Author(s):  
Sohom Chakrabarty ◽  
Bijnan Bandyopadhyay
Keyword(s):  
Sliding Mode Control ◽  
Discrete Time ◽  
Sliding Mode ◽  
Reaching Law ◽  
Mode Control

scholarly journals Discrete time reaching law based variable structure control for fast reaching with reduced chattering

2020 ◽  
Vol 9 (1) ◽  
pp. 51
Author(s):  
Pournami Padmalatha ◽  
Susy Thomas
Keyword(s):  
Discrete Time ◽  
Sliding Mode ◽  
Variable Structure Control ◽  
Variable Structure ◽  
The Other ◽  
Control Law ◽  
Sliding Surface ◽  
Structure Control ◽  
Reaching Law ◽  
Speed Up

In this paper, a variable structure control law is proposed for discrete time sliding mode control so as to reduce both reaching time and quasi sliding mode band reduction. This new law is composed of two different sliding variable dynamics; one to achieve fast reaching and the other to counter its effect on widening the quasi sliding mode band. This is accomplished<br />by introducing a boundary layer around the sliding surface about which the transformation of the sliding variable dynamics takes place. This provides the flexibility to choose the initial dynamics in such a way as to speed up the reaching phase and then at the boundary transform this dynamics to one that reduces the quasi sliding mode band. Thus, the law effectively<br />coalesces the advantageous traits of hitherto proposed reaching laws that succeed in either the reduction of reaching phase or the elimination of quasi sliding mode band. The effectiveness of the proposed reaching law is validated through simulations.<br /><br />

scholarly journals Dead-Beat and reaching law based sliding mode control laws for perishable inventories with transportation losses

2012 ◽  
Vol 22 (3) ◽  
pp. 255-272 ◽  
Author(s):  
Andrzej Bartoszewicz ◽  
Michał Maciejewski
Keyword(s):  
Inventory Management ◽  
Sliding Mode ◽  
Management Strategies ◽  
Inventory Systems ◽  
Supply Management ◽  
Supply Source ◽  
Control Laws ◽  
Reaching Law ◽  
Perishable Goods ◽  
Varying Demand

Abstract This paper describes discrete sliding mode (SM) supply management strategies for inventory systems with perishable goods and transportation losses. In the considered systems, the stock used to satisfy the unknown, bounded and time-varying demand is replenished with some delay from a distant supply source. The on-hand stock deterioration during lead-time delay, as well as commodity losses in supply process are explicitly taken into account. Two supply management strategies are proposed. The first one ensures fast reaction to the imposed demand variations, but may result in excessive control signal magnitude at the beginning of the inventory management process. Therefore, in order to conform to supplier limitations we also develop an alternative control strategy based on the concept of the reaching law. That strategy helps reduce the initial supply rate and satisfy the supplier limitations. A number of desirable properties of both proposed strategies are formulated and formally proved. These properties include full customer demand satisfaction and elimination of the risk of exceeding the warehouse capacity.

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