If you are expecting to inject this reference into the action method as a parameter, you can look to the ControllerActionInvoker, which has an InvokeActionMethod method, which I believe is called from InvokeAction. This method has a list of parameters passed into it, and a description of the action (ActionDescriptor class). This action descriptor has a GetParameters method that will give you more detailed information about the parameter, such as type information that you would need for the dependency injector. I've not done this, so I don't know quite how it works out, but it seems possible.
I also don't know how that might affect how MVC selects an action method to post to, so factor that in.