Chaos Control In Switched Arrival System

Switched arrival system is used as a kind of typical hybrid system, which can lead to chaotic behavior. In order to control its chaotic behavior, many methods are proposed in succession, such as upper and lower limits placed on the volumes of the buffers, changing the limited continuous processing time, controlled internal connections and delayed impulsive feedback control. Delayed impulsive feedback control is synthesis improvement of impulsive control and time-delayed feedback control. Chaos is controlled by implementing control at each boundary (multi-sided control) in this paper. Convergence of one-sided and multi-sided control methods is also analyzed. Then under the assumption of switched time being more than zero, switched arrival system leads to loss of production. Selection of control time is changed such that chaos is not just controlled, but also loss rate of the system is decreased. The main results and methods are as follows:1 Switched arrival system is introduced. Poincare section is selected for defining unstable periodic orbits. The typical methods of chaos control are introduced. 2 Multi-sided control method is implemented in switched arrival system (such as N = 3). Control method is proposed; Selection of control time and implementation of control method are described; When control target are period-2 orbit and period-3 orbit, the effectiveness of method is numerically examined, and periodic orbits with other period are also detected. Convergence of the method is analyzed; Existence of control coefficient matrix K is proved.3 Asymptotical convergence rate and spectral radius of iterative matrix are introduced to analyze convergence of one-sided control and multi-sided control. Relation between spectral radius of iterative matrix and effectiveness of the method is discussed. One-sided control and multi-sided control are numerically examined.4 Under the assumption of switched time being more than zero, switched arrival system leads to loss of production. By comparing switched frequency, period-1 orbit is selected as control target. Control time is changed to avoid occurrence of switched event in the process of control. Loss rate of the system with or without implementing multi-sided control are compared.