$state.go("/path/to");

$state.go("/path/to?param=myParam");

$location.path("/path/to?param=myParam");
$location.path("/path/to").search({param: "myParam"});

/path/to/param/myParam

Url config use like this

  .state('path/:param', {
                url: '/path/:param',
                templateUrl: 'views/path.html',
      })

   you get value in controller use to $stateParams

$state.go("/path/to",{param:myParam});