As a critical technique in transfer learning, domain adaptation addresses the issue of different distributions in training and test datasets well. However, traditional domain adaptation methods are typically limited to scenarios where the target-domain and source-domain datasets are with same number and types of categories. In practical applications, these scenarios are often difficult to meet. Open Set Domain Adaptation (OSDA) emerges to address this challenge. In order to fill the gap in this field and provide a reference for related research, a summary and analysis of OSDA methods emerged in recent years were conducted. Firstly, the related concepts and basic structure were introduced. Secondly, the related typical methods were sorted out and analyzed from three stages: data augmentation-oriented, feature extraction-oriented, and classifier-oriented. Finally, future development directions of OSDA were prospected.