I have answered my own question, that is very similar to this.
You will also need the http method
(that is GET, POST) to get the correct result, in addition to action and controller names.
This is the piece of the code that solves your problem:
var controllerFactory = ControllerBuilder.Current
.GetControllerFactory();
var controllerContext = @this.ControllerContext;
var otherController = (ControllerBase)controllerFactory
.CreateController(
new RequestContext(controllerContext.HttpContext, new RouteData()),
controllerName);
var controllerDescriptor = new ReflectedControllerDescriptor(
otherController.GetType());
var controllerContext2 = new ControllerContext(
new MockHttpContextWrapper(
controllerContext.HttpContext.ApplicationInstance.Context,
method),
new RouteData(),
otherController);
var actionDescriptor = controllerDescriptor
.FindAction(controllerContext2, actionName);