This study is to propose and design a new X-bar control chart utilizing previous subgroup information called a multiple dependent state control chart based on double control limits. The in-control Average Run Length (ARL) and the out-of-control ARLs according to mean shifts are derived. The performance of the proposed control chart is compared with the traditional X-bar chart in terms of ARLs, which shows the outperformance of the proposed control chart. This idea can be easily extended to other types of control charts.