Traffic jam frequently occurs on urban freeway or expressway sections, particularly during morning and evening peak periods with heavily weaving and on-ramp demand. Congestion reduces transport efficiency and increases air pollution. With an isolated on-ramp meeting control, it will not reach optimum. In this study, we applied Taylor's expansion and chaining law to Payne's dynamic traffic flow model, then formulated a nonlinear system model for integrated ramp metering control. The objective is to maximize the system throughputs. Using the T-type linked road network of the Sun Yat-Sen Freeway and Chan-Kuo Expressway in Taipei City as a test site, a simulation analysis revealed that the proposed model was able to relieve the traffic from congestion.