Academic Written English: How to Improve It?

Hello. A new year has begun and all I have done until now is struggle with academic written English. Because I am not a native writer, a lot of research is needed to avoid writing in alien English. It is hard work, but I think it is worthy. Writing in English equals writing to the world.

Anyway, I am interested in how people improve their academic written English (especially but not exclusively non-native speakers). I have been using search engines, reading many research papers, and sometimes even using a concordance software to find out useful sentence structures, word collocations, and so on. However, I still lack the sense of a native English writer, who can say whether something is weird or not. Therefore, I fell that I still far from being an independent academic English writer.

What have you been doing to improve your academic written English?

Thank you!!!