Fuzzy adaptive control technique for a new fractional-order supply chain system

2021 ◽  
Vol 96 (12) ◽  
pp. 124017
Author(s):  
Ziyi Liu ◽  
Hadi Jahanshahi ◽  
J F Gómez-Aguilar ◽  
G Fernandez-Anaya ◽  
J Torres-Jiménez ◽  
...  



2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Yeguo Sun ◽  
Yihong Liu ◽  
Ling Li

In this paper, the problem of fuzzy adaptive control of unknown nonlinear fractional-order systems with external disturbances and unknown control directions is studied. We exploit a decomposition of the control gain matrix into a symmetric positive-definite matrix, a diagonal matrix with diagonal entries + 1 or 1 , and a unity upper triangular matrix. Fuzzy logic systems are used for estimating the unknown nonlinear functions. Based on the fractional Lyapunov direct method and some proposed lemmas, a novel fuzzy adaptive controller is designed. The proposed method can guarantee that all the signals in the closed-loop systems remain bounded and the tracking errors converge to an arbitrary small region of the origin. In addition, for updating the parameters of the fuzzy system, fractional-order adaptations laws are proposed. Lastly, an illustrative example is given to demonstrate the effectiveness of the proposed results.



2021 ◽  
Vol 5 (3) ◽  
pp. 128
Author(s):  
Yingjin He ◽  
Song Zheng ◽  
Liguo Yuan

Digital manufacturing is widely used in the production of automobiles and aircrafts, and plays a profound role in the whole supply chain. Due to the long memory property of demand, production, and stocks, a fractional-order digital manufacturing supply chain system can describe their dynamics more precisely. In addition, their control and synchronization may have potential applications in the management of real-word supply chain systems to control uncertainties that occur within it. In this paper, a fractional-order digital manufacturing supply chain system is proposed and solved by the Adomian decomposition method (ADM). Dynamical characteristics of this system are studied by using a phase portrait, bifurcation diagram, and a maximum Lyapunov exponent diagram. The complexity of the system is also investigated by means of SE complexity and C0 complexity. It is shown that the complexity results are consistent with the bifurcation diagrams, indicating that the complexity can reflect the dynamical properties of the system. Meanwhile, the importance of the fractional-order derivative in the modeling of the system is shown. Moreover, to further investigate the dynamics of the fractional-order supply chain system, we design the feedback controllers to control the chaotic supply chain system and synchronize two supply chain systems, respectively. Numerical simulations illustrate the effectiveness and applicability of the proposed methods.



2021 ◽  
Vol 13 (4) ◽  
pp. 1740
Author(s):  
Cheng Che ◽  
Xiaoguang Zhang ◽  
Yi Chen ◽  
Liangyan Zhao ◽  
Zhihong Zhang

By establishing a two-level symbiotic supply chain system consisting of one supplier and one manufacturer, we use Stackelberg method to analyze the optimal price and revenue model of supplier and manufacturer in the symbiotic supply chain under two power structures in which the supplier and manufacturer are dominant respectively, and analyze the influence of the degree of symbiosis and power structure on the model. Through comparative analysis, we find that: There is a relationship between the income level and the degree of symbiosis in the symbiotic supply chain. The change of power structure will affect the relative benefits of suppliers and manufacturers in the symbiotic supply chain. The manufacturer’s expected unit product revenue will affect the supply chain revenue when the manufacturer is dominant. Finally, the sensitivity analysis of relevant parameters is carried out through an example analysis, and the validity of the conclusion is verified. This paper has a guiding significance for the behavior of enterprises in the cogeneration supply chain.



2006 ◽  
Vol 22 (5-6) ◽  
pp. 557-565 ◽  
Author(s):  
Mustafa Özbayrak ◽  
Theopisti C. Papadopoulou ◽  
Efstratios Samaras


2014 ◽  
Vol 156 ◽  
pp. 332-345 ◽  
Author(s):  
Bhaba R. Sarker ◽  
Ratkrit Rochanaluk ◽  
Huizhi Yi ◽  
Pius J. Egbelu


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