三个Buffers切换到达系统的混合系统建模和控制

采用被服务Buffer编号为离散标识，Buffer中待处理任务数为连续状态，建立了系统的代数微分方程模型，提出了三个Buffers切换到达系统不稳定周期轨道的一种基于混合状态的镇定控制方法。当Server服务于一个Buffer时，以此状态下在连续周期轨道上对应的2个顶点张成的一维线形子流型滑动目标，仅通过系统许可的对极限连续处理时间的控制，使系统镇定于周期轨道，并从系统的混合模型角度，分析了镇定方法的鲁棒性。

Hybrid State Based Modeling and Control for a Switched Arrival System with Three Buffers

Considering a switched arrival system with three buffers, assuming that the input rate of work and processing time per unit are constant, it was shown that the system is chaotic. The number of being serviced Buffer selected as discrete index, the work number of Buffer as continuous state, an algebra differential equation of the switched arrival system was naturally developed. It proposed a hybrid state based control method for stabilizing an unstable periodic orbit by controlling controllable continuous limit processign time, referring to the geometrical property of the system behavior and employing sliding mode approach. For some being serviced buffer, the continuous limit processing time is selected such that the continuous state slides onto a 1 dimension manifold spanned by two succession vertexes of the periodic orbit. Finally, it was shown that the stabilizing policy is robust.