Using PID Controller

Several weeks ago, I need to implement a game screen for user to choose a level. At that time, I read some post and article about using PID controller for controlling the behavior of a system, so I decided to try it on the UI. PID controller is a control loop feedback mechanism which generate an output to a system based on the difference between a measured value and a desired value:

where f(t) is the output apply back to the system, e(t) is the difference between a measured value and a desired value and P, I, D are tuning variable for controlling the behavior. More information can be found on this post.

Using PID Controller
In the UI, the user can drag on the view to choose the level, when the user swipe on the icons, they will scroll according to velocity and acceleration. The output of PID Controller is used to control the acceleration so that there will always be an icon staying in the middle of the screen when the system becomes stable. The code is ported to WebGL as below(need a WebGL enabled browser to view):

Your browser does not support the canvas tag/WebGL. This is a static example of what would be seen.
P: I: D:


Tuning the PID variables

The behavior of the scrolling can be controlled by tuning the constants: P, I, D. The effects of changing the 3 constants can be summarized as below:
Summary of the effects of PID constant from Wikipedia
You can play around with the 3 Constants with the input text field above if you have a WebGL enabled browser.

Using PID Controller to manage the system is convenient but it is a bit tricky to tune the PID constants. It is easier to tune the constant one by one and referring to the above table. The source code of my implementation can be downloaded here.