Prestashop custom page with own template

I am running my own prestashop theme and want to add a new page without the css.
Therefore I added the three files php, controller and template. I placed the php in the root directory of my prestashop, added the controller to root/controllers/front and placed the template in root/themes/my-theme.
If I call

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, I see the index start page, If I call localhost/prestashop/custom-page, I get a HTTP 404.
Can someone help me to get my page displayed?

PHP:

<?php
include(dirname(__FILE__).'/config/config.inc.php');
Tools::displayFileAsDeprecated();

include(dirname(__FILE__).'/header.php');

$smarty->display(_PS_THEME_DIR_.'custom-page.tpl');

include(dirname(__FILE__).'/footer.php');

Controller:

<?php
class CustomPageController extends FrontController{

public function init(){
parent::init();
}

public function initContent(){
parent::initContent();
$this->setTemplate(_PS_THEME_DIR_.'custom-page.tpl');
}


//public function setMedia(){
//parent::setMedia();
//$this->addCSS(_THEME_CSS_DIR_.'custom-page.css');
//$this->addJS(_THEME_JS_DIR_.'custom-page.js');
//}

}

Template:

<div>
HELLO PAGE
</div>

{literal}
<style type="text/css">
</style>
{/literal}

<script type="text/javascript">
{literal}
{/literal}
</script>

I think the best practice would be to create a module with your custom page. Because with your approach you may get troubles after prestashop update and also a behavior of your store may be unpredictable with different properties.

Here is some information about how to create own page within a module

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and

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For PS 1.7, create a new page following the next steps:

**Create the controller**: `/controllers/front/MyPageController.php`

<?php

class MyPageControllerCore extends FrontController
{
public $php_self = 'mypage';
public $ssl = true;

public function initContent()
{
parent::initContent();

$this->setTemplate('mypage');
}
}

**Create the tpl file in your theme**: `/themes/YOUR_THEME/templates/mypage.tpl`

{extends file='page.tpl'}

{block name='page_header_container'}{/block}

{block name='page_content'}
PAGE CONTENT HERE
{/block}

**Delete the class index files**: `/var/cache/dev/class_index.php` and `/var/cache/prod/class_index.php`

**How to access it**: `http://your-site.com/index.php?controller=mypage`

**Finally**:
If you want to handle a friendly URL for this page, just add the page in `Shop Parameters > Traffic & SEO`.