/**
 * Register any application services.
 *
 * @return void
 */
public function register()
{
 $this->registerTestModel();
}
private function registerTestModel()
{
 $this->app->singleton('testmodel', function ($app) {
  $model = 'App\Models\Test';
  return new $model();
 });
 $this->app->alias('testmodel', 'App\Models\Test');
}

<?php
namespace App\Facades;
use Illuminate\Support\Facades\Facade;
class Test extends Facade
{
 /**
  * Get the registered name of the component.
  *
  * @return string
  */
 protected static function getFacadeAccessor()
 {
  return 'testmodel';
 }
}

<?php
namespace App\Http\Controllers;
use App\Facades\Test;
use Illuminate\Routing\Controller;
class TestController extends Controller
{
 public function __construct()
 {
  Test::show();
  Test::show();
 }
}

<?php
namespace App\Models;
use Illuminate\Database\Eloquent\Model;
class Test extends Model
{
 protected $table = 'tt';
 public static $times = 0;
 public function __construct()
 {
  self::$times++;
  parent::__construct();
 }
 public function show()
 {
  echo self::$times . '<br>';
 }
}