How to create new controller in runtime?

Question

Imagine an MVC project without any controller in that solution. I have same thing and want to create controller at runtime by using a DefaultControllerFactory then register it in my Global.asax by Autofac. Here I have a sample controller factory which has CreateController method:

internal class CControllerFactory : DefaultControllerFactory
{
    private readonly Dictionary<string, Func<RequestContext, IController>> _controllerMap;

    public CControllerFactory()
    {
        List<IController> lstControllers = DependencyResolver.Current.GetServices<IController>().ToList();
        _controllerMap = new Dictionary<string, Func<RequestContext, IController>>();

        foreach (Controller contr in lstControllers)
        {
            string ctrName = contr.ControllerContext.RouteData.Values["Controller"].ToString();
            _controllerMap.Add(ctrName, c => contr);
        }
    }

    public override IController CreateController(RequestContext requestContext, string controllerName)
    {

        if (_controllerMap.ContainsKey(controllerName))
        {
            return _controllerMap[controllerName](requestContext);
        }
        else
            throw new KeyNotFoundException(controllerName);
    }
}

As you see above, this line: List<IController> lstControllers = DependencyResolver.Current.GetServices<IController>().ToList(); will get the list of controllers which use IController service. But in my case there is no controller exist in the solution. I want to create a new controller at run time and add it in my _controllerMap.

So I changed code to this:

internal class CControllerFactory : DefaultControllerFactory
{
    private readonly Dictionary<string, Func<RequestContext, IController>> _controllerMap;

    public CControllerFactory()
    {
         // *Don't need this*
         // List<IController> lstControllers = DependencyResolver.Current.GetServices<IController>().ToList();
        _controllerMap = new Dictionary<string, Func<RequestContext, IController>>();
         // *Don't need this Foreach*
         // foreach (Controller contr in lstControllers)
         // {
               string ctrName = "Home";
               // But what about contr in this line?!?!:
               _controllerMap.Add(ctrName, c => contr);
         // }
    }

    public override IController CreateController(RequestContext requestContext, string controllerName)
    {

        if (_controllerMap.ContainsKey(controllerName))
        {
            return _controllerMap[controllerName](requestContext);
        }
        else
            throw new KeyNotFoundException(controllerName);
    }
}

So what about contr in specified line? This argument must to be type of Func<RequestContext,IController>. How can I create it functionally by C# code?