In visual analysis, it is important to maintain interactive and stable rendering framerates, because it is known that unstable framerates may cause stress and distraction problems to the users. For stabilizaing framerates in large-scale particle visualization, we deploy a fast rendering method based on shaded texture mapping and a high-quality method using implicit surfaces in a combined manner. Actual rendering method for each particle is decided on the fly according to the measured distance between the center of the particle and the viewpoint. We propose a framerate stabilization scheme using PID control, which dynamically changes the switching-distance to control the number of particles rendered by each method. We illustrate how well our dynamic framerate stability control works through experiments with practical molecular dynamics simulation datasets.