餐厅可以提供音乐选择搭配菜单上的食物选择，让顾客更好地掌控他们用餐的气氛。

这里如果没有“，”，则完全可以用to do不定式作目的状语，但是目的状语放在句末，一般不加逗号，放句首可以，如

To allowing customers more control over the atmosphere in which they are dining，restaurants can offer a choice of music along with the various food choices on the menu.

Restaurants can offer a choice of music along with the various food choices on the menu to allow customers more control over the atmosphere in which they are dining.

这句话用了ing分词，则作为伴随状语或者结果状语。

下列题和这个有异曲同工之处，如

The secretary worked late into night ,    ______  (prepare) a long speech.

Restaurants can offer a choice of music along with the various food choices on the menu, allowing customers more control over the atmosphere in which they are dining.

参考译文：餐厅可以提供音乐和菜单上的各种食物选择，让顾客更多地控制他们用餐的氛围。

解答：现在分词做目的状语通常放在句末，用逗号与主句隔开，其表达的目的不是十分突出强烈，通常有伴随的意味。不定式做目的状语，通常放在句首，通常带有很强的目的性，通常用to do sth, in order to do sth表达。

In order to allow customers more control over the atmosphere in which they are dining to customers more control over the atmosphere in which they are dining.(不定式做目的状语，表示强调)

Restaurants can offer a choice of music along with the various food choices on the menu to /so as to allow  customers more control over the atmosphere in which they are dining.（不定式做目的状语）

动词不定式做目的状语和现在分词作目的状语的具体区别如下

【1】不定式作目的状语，带有很强的目的性。有时为了突出和强调目的性，可以把不定式置于句首，或者在不定式前加in order或so as（但so as to do不可位于句首）。

One of my old friends came to see me from Beijing yesterday.我的一个老朋友昨天从北京来看我。

In order to ensure success, we must make a complete and thorough plan.为了保证成功，我们必须要有一个周密的计划。

The speaker raised her voice so as to make herself heard.为了让别人听见，演讲者提高了嗓门儿。

【2】现在分词作目的状语，目的性不是非常明确。它往往带有伴随性，目的和伴随兼而有之。多放于句末，且与主句用逗号隔开。

Many young farmers hunted around from city to city, hoping to get good jobs. 许多年轻的农民从一个城市到另一个城市，希望得到好工作。

The secretary worked late into night, preparing a report for the manager.秘书为了给经理准备一个报告而工作到深夜。

She kept it a secret, trying not to lose her job.她对此保守秘密，尽量别丢掉工作。