Stability strategies of demand-driven supply networks with transportation delay

• Published in: Applied Mathematical Modelling 2019-12, Vol.76, p.109-121
• Main Authors: Yan, Lizhao, Xu, Fei, Liu, Jian, Teo, Kok Lay, Lai, Mingyong
• Format: Article
• Language: English
• Subjects: Attenuation; Computer simulation; Control stability; Control systems; Delay; Demand; H-infinity control; Linear matrix inequality; Mathematical models; Robust control; Stability; State-feedback stabilizing control strategy; Supply network; Transportation delay; Transportation networks
• ISSN: 0307-904X; 1088-8691; 0307-904X
• DOI: 10.1016/j.apm.2019.06.015

•Demand-driven supply network model with transportation delay is proposed.•State-feedback stabilizing control strategies are designed.•Sufficient conditions that guarantee the stability of the supply network in the form of matrix inequalities are obtained.•The prescribed H∞ disturbance attenuation level under uncertain demand is studied. In this paper, we consider the stabilization strategies for a demand-driven supply network model with transportation delay. Based on Lyapunov stability theory and the robust control approach, we obtain sufficient conditions that guarantee the global asymptotic stability of the supply network in the form of matrix inequalities. Furthermore, state-feedback stabilizing control strategies are designed. We also carry out analysis on the prescribed H∞ disturbance attenuation level under uncertain demand. Numerical simulation results are presented to verify the effectiveness of the control strategy that is designed.