H_? Consensus For Multi-agent Based Supply Chain System Under Switching Topologies

In this paper, we study the H? consensus for multi-agent based supply chain systems un-der switching topologies by a topology-dependent average dwell-time approach and Marko-vian switching topologies, respectively. The researched multi-agent based supply system is a dynamic supply chain system in the frame of multi-agent cooperative control, which is composed of multiple subchains connected by information flows and/or material flows. Con-sidering the case that information flows or material flows between subchains may break off,switching topologies will developed and the system can be modeled as a switching system.In the presence of time-varying delays and uncertain demand, the H? consensus for multi-agent based supply chain systems under switching topologies by a topology-dependent av-erage dwell-time approach and Markovian switching topologies are studied in this paper,respectively.The work of this thesis is organized as follows:(1) The first chapter gives a brief introduction of the supply chain system, multi-agent sys-tem, the relationship between them and the research status at home and abroad, then introduces the main contents of this paper, and attach the preliminary and lemmas used in the thesis in the end.(2) In the second chapter, the switching topologies are introduced to construct the interrup-tion and restoration of the information flows or material flows between subchains, and then model the multi-agent based supply chain system as a switching system. By con-structing a piecewise Lyapunov function, a sufficient condition for the H? consensus of the system is proposed, and for the case that there may exists inconsistent subsystems,a switching condition based on average dwell-time approach is given out. Finally, a simulation example is presented to illustrate the effectiveness of the proposed method.(3) On the basis of the second chapter, the third chapter considers a more realistic situa-tion, that is, the H? consensus for the system mentioned in the second chapter under Markovian switching topologies. In this context, the system is modeled a stochastic switching system, and under the given transition probability matrix, by constructing a piecewise Lyapunov function, a sufficient condition is given such that the system reaches the mean-square consensus. The controller designed method is presented fol-lowed. At last, we propose a simulation example to illustrate the effectiveness of the proposed method, and compared it to the simulation result presented in the previous chapter.(4) In the fourth chapter, we summarize the present research work, and make a prediction about the future study.