Abstract
Control of supply chains with chaotic dynamics is an important, yet daunting challenge because of the limitations and constraints there are in the amplitude of control efforts. In real-world systems, applying control techniques that need a large amplitude signal is impractical. In the literature, there is no study that considers the control of supply chain systems subject to control input limitations. To this end, in the current study, a new control scheme is proposed to tackle this issue. In the designed control input, limitations in control inputs, as well as robustness against uncertainties, are taken into account. The proposed scheme is equipped with a fixed time disturbance observer to eliminate the destructive effects of uncertainties and disturbances. Additionally, the super-twisting sliding mode technique guarantees the fixed-time convergence of the closed-loop system. After that, a symmetric supply chain system is presented, and its chaotic attractors are demonstrated. Finally, the proposed controller is applied to the symmetric supply chain system. Numerical simulations exhibit the proposed scheme’s excellent performance even though the system is subjected to control input limitations and time-varying uncertainties.
Highlights
During recent decades, academics and decision makers have been striving for a reliable approach to handle advanced supply chain systems
An uncertain, symmetric chaotic supply chain system has been considered with limited control inputs, and the performance of the designed control scheme has been assessed by presenting some numerical simulation results
The finite-time convergence of the disturbance observer and the closed-loop system was proven in their study, the existence of control input saturation and chattering was ignored, which lowers the performance of that control scheme considerably
Summary
Academics and decision makers have been striving for a reliable approach to handle advanced supply chain systems. An uncertain, symmetric chaotic supply chain system has been considered with limited control inputs, and the performance of the designed control scheme has been assessed by presenting some numerical simulation results. The finite-time convergence of the disturbance observer and the closed-loop system was proven in their study, the existence of control input saturation and chattering was ignored, which lowers the performance of that control scheme considerably. The rest of the current paper is organized as follows: In Section 2, the design procedure of the proposed scheme, including effects of uncertainties and limitation in control input, fixed-time disturbance observer, and super-twisting SMC, are delineated. In. Section 4, the proposed control scheme is applied to control the chaotic behavior of the symmetric supply chain system, and various numerical simulations are presented.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
