Apparently Google is testing a limited version of knowledge graph and that's quite awesome. One more reason why Google+ is the best tool for building a personal brand.
To appear in limited knowledge graph:
1. You should fill your profile properly like contact information, tagline etc.
2. You should have verified profile.
3. You should maintain post frequency(post regularly).
The purpose of New personalized Knowledge Graph as defined by +Yonatan Zunger -
"The goal of search is to show you the information which is most relevant to you in response to your needs. We will use a wide variety of information about the situation to determine what's relevant; e.g., if I search for "Ben Smith," the system can take a much better guess as to which Ben Smith is relevant, and that I am likely asking about that particular Ben Smith, than if it didn't know who I was and that I know someone named Ben Smith."
PS: Full kudos to +Muhammad Kashif Shabbir for taking a screenshot