Add/change multipart_params parameter when uploading post image

To send a customer data to the server, do the following

customFileFrame.uploader.options.uploader.params.yourCustomProperty = 'yourCustomValue';

Where:

yourCustomProperty - parameter name
yourCustomValue - parameter value

processing data from the server

add_action('add_attachment', array($this, 'addAttachmentParama'));

public function addAttachmentParama($post_id){
    if (isset($_REQUEST['yourCustomProperty']) && isset($_REQUEST['action']) && 'upload-attachment' == $_REQUEST['action']) {
        update_post_meta($post_id, 'yourCustomProperty', $_REQUEST['yourCustomProperty']);
     }
 }

Mini Plugin for example

<?php
/*
Plugin Name: ExsempleDimetrodonMediaUploader
Version: 0.0.1
Author: Dimetrodon
License: GPLv2 or later
*/

class ExsempleDimetrodonMediaUploader
{
    private static $instance;

    /**
     * Get (and instantiate, if necessary) the instance of the class
     *
     * @static
     * @return ExsempleDimetrodonMediaUploader
     */
    public static function get_instance(){
        if (!is_a(self::$instance, __CLASS__)) {
            self::$instance = new self();
        }
        return self::$instance;
    }

    private function __clone(){}

    private function __construct(){
        add_shortcode('ExsempleDimetrodonMediaUploader', array($this, 'MediaUploader'));
        add_action('add_attachment', array($this, 'addAttachmentParama'));
    }

    public function addAttachmentParama($post_id){
        if (isset($_REQUEST['yourCustomProperty']) && isset($_REQUEST['action']) && 'upload-attachment' == $_REQUEST['action']) {
            update_post_meta($post_id, 'yourCustomProperty', $_REQUEST['yourCustomProperty']);
        }
    }

    public function MediaUploader()
    {
        wp_enqueue_media();
        ob_start();
        ?>
        <img id="image">
        <button class="image-uploader">Image Uploader</button>

        <script type="text/javascript">
            jQuery(function ($) {
                var customFileFrame;
                $(document).on('click', '.image-uploader', function (event) {
                    if (typeof(customFileFrame) !== "undefined") {
                        customFileFrame.close();
                    }

                    //Create WP media frame.
                    customFileFrame = wp.media.frames.customHeader = wp.media({
                        //Title of media manager frame
                        title: "Select Image",
                        library: {
                            type: 'image'
                        },
                        button: {
                            text: "Select Image"
                        },
                        multiple: false
                    });

                    //Sending of a custom parameters to the server
                    customFileFrame.uploader.options.uploader.params.yourCustomProperty = 'yourCustomValue';

                    //callback for selected image
                    customFileFrame.on('select', function () {
                        var attachment = customFileFrame.state().get('selection').first().toJSON();
                        $('#image').attr('src', attachment.url);
                        //do something with attachment variable, for example attachment.filename
                        //Object:
                        //attachment.alt - image alt
                        //attachment.alt - image alt
                        //attachment.url
                        //attachment.author - author id
                        //attachment.caption
                        //attachment.dateFormatted - date of image uploaded
                        //attachment.description
                        //attachment.editLink - edit link of media
                        //attachment.filename
                        //attachment.height
                        //attachment.icon - don't know WTF?))
                        //attachment.id - id of attachment
                        //attachment.link - public link of attachment, for example ""http://example.com/?attachment_id=115""
                        //attachment.menuOrder
                        //attachment.mime - mime type, for example image/jpeg"
                        //attachment.name - name of attachment file, for example "my-image"
                        //attachment.status - usual is "inherit"
                        //attachment.subtype - "jpeg" if is "jpg"
                        //attachment.title
                        //attachment.type - "image"
                        //attachment.uploadedTo
                        //attachment.url - http url of image, for example "http://example.com/wp-content/uploads/2012/12/my-image.jpg"
                        //attachment.width
                    });

                    //Open modal
                    customFileFrame.open();
                    return false;
                });
            });
        </script>
        <?php
        return ob_get_clean();
    }
}
ExsempleDimetrodonMediaUploader::get_instance();