It's easy to write. First, download domestic and foreign literature and see how others do it. Since the teacher gave you the direction, it means that the purpose is clear. Robust control is to study the robustness of the system. Robustness means making the system more stable. There are many documents, and this aspect is very mature. I don't know how demanding your undergraduate course is. Whether originality is strict. I am a graduate student majoring in control in Northeastern University and have read many similar documents. I can't write it at first, but I feel it after reading it too much. Firstly, the model is established, from time-invariant to time-varying, from certainty to uncertainty, from no time lag to time lag. After the model is established, the autonomous system is studied, and then the controller is designed to make the closed-loop system robust and stable. Solve by LMI method. Finally, the numerical example simulation must use MATLAB. By the way, I don't know whether the system you study is a normal system or a generalized system. You can think about it. Wish you success in advance!