Effective coordination of multipath traffic signals is essential for alleviating traffic congestion and improving travel efficiency. The existing research on multipath signal control focuses on the optimization of green-band width, while the modeling of road traffic flow performance is limited. However, the models direct optimizing traffic performance are difficult to be effectively applied to multipath scenarios due to its complexity. Based on the framework of bandwidth-based coordination control and the modeling method of performance-based model, we propose a signal coordination control model to minimize the vehicle stops, named Smooth-band model. A mixed integer quadratic programming model is constructed to solve the network traffic signal coordination control scheme, and the optimized signal scheme is solved. In this paper, traffic flow performance metrics such as stopping counts and vehicle delays are obtained by simulation under experimental scenarios. In the simulation scenario, the proposed model is compared with the classical benchmark optimization model. The results show that our method significantly reduces both stopping counts and total delay on upstream and downstream routes, verifying its practical effectiveness and computational efficiency.