Our research introduces a control theory-based model of Kubernetes' Horizontal Pod Autoscaler (HPA). We have analyzed the current model of HPA and identified that, although it stabilizes resource utilization effectively, there is potential for improvement in the convergence time. Our proposed framework focuses on a more efficient information distribution strategy, extending from primary microservices to their peripheral counterparts. This approach aims to refine the HPA's responsiveness to fluctuating demands, potentially leading to more rapid adjustments in resource allocation.