var app = angular.module('plunker', []);

app.controller('MainCtrl', function($scope) {
  $scope.name = 'World';
});

app.directive('myDirective', function() {
        return {
          restrict: 'E',
          bindToController: {
            someId: "=",
            otherAttr: "@"
          },
          controller: ["$attrs", MyController],
          controllerAs: "ctrl"
        }
      });
      
      
function MyController ($attrs) {
  var self = this;
  console.log(self);
  console.log($attrs);
}
<!DOCTYPE html>
<html ng-app="plunker">

  <head>
    <meta charset="utf-8" />
    <title>AngularJS Plunker</title>
    <script data-require="angular.js@*" data-semver="1.5.0-rc.0" src="https://code.angularjs.org/1.5.0-rc.0/angular.js"></script>
    <script>document.write('<base href="' + document.location + '" />');</script>
    <link rel="stylesheet" href="style.css" />
    <script src="app.js"></script>
  </head>

  <body ng-controller="MainCtrl">
    <h1>Hello</h1>
    <hr />
    <my-directive some-id="name" other-attr="1"></my-directive>
    
  </body>

</html>
/* Put your css in here */