Yii2 -如何在更新操作时显示depdrop子项中的选定值？

$model = Category::findOne($id);
$model->loadSubCategory(); // 加载子项数据

<?= $form->field($model, 'sub_category_id')->widget(DepDrop::classname(), [
    'options' => ['id' => 'sub-category-id'],
    'pluginOptions' => [
        'depends' => ['category-id'], // 父级下拉列表的ID
        'placeholder' => '请选择...',
        'url' => Url::to(['/controller/action']) // 根据父级选项获取子项数据的URL
    ]
]) ?>

public function actionGetSubCategory($id)
{
    $data = SubCategory::find()->where(['category_id' => $id])->all();
    return Json::encode($data);
}

$('#category-id').on('change', function(){
    var category_id = $(this).val();
    $.ajax({
        url: 'get-sub-category',
        data: {id: category_id},
        success: function(data){
            $('#sub-category-id').html(data);
        }
    });
});