Abstract: Using switched control and convex combination，the control system’s stability condition can be died down and the convex combination summation can fit matrix Hurwitz condition.This paper defines some switched system forms，switched signal and path，switched convergence，stability rules and the characters of periodic switched system.Three periodic switched laws and algorithms are put forward for design of periodic disturbed or not switched system.The traffic instance and its switched experiment data are analyzed and compared，which show the convergence under different switched laws and the switched system is realized by these algorithm.

摘要： 利用切换控制及凸组合弱化控制系统稳定性条件，使组合和满足Hurwitz条件而实现切换稳定。该文对切换系统的表达形式、切换信号及切换路径、切换收敛、稳定性判断准则及周期切换特征进行了分析。针对无扰动或扰动切换系统进行周期稳定性设计，提出3种切换控制率及对应的切换算法。通过对交通实例进行仿真设计，比对切换实验数据，反映出不同切换率稳定和收敛情况，通过上述算法实现系统的周期稳定。