There are numerous opportunities to increase your visibility in the company and gain increased appreciation of you as a valued employee. These involve not only extra job-related responsibilities but can also include participating in the company's community relations activities and fund drives for welfare organizations. Find out what your supervisor's favorite civic or charitable activities are and volunteer to work for those organizations. That will bring you into regular contact with the supervisor in a non-job situation, which should increase your visibility and give you additional opportunities to make a favorable impression. Developing some shared experiences off the job will be a definite plus for you.
Most companies have regular performance appraisals and reviews.
When yours comes, carefully note your strengths and weaknesses as the company sees them. If the review is not as favorable as you would like, think of ways to make the next one more favorable. The review you have just had is not going to be changed. The company, rightly or wrongly, has formed certain conclusions about you and told you what they are. It is up to you to profit from what you have learned.