Scientific Essay from the year 2013 in the subject Mathematics - Applied Mathematics, grade: Master, , course: Electrical Engineering - Automation, language: English, abstract: XZ-?type rotary inverted pendulum is a typical mechatronic system; it completes real-time motion control using DSP motion controller and motor torque. In this paper, we recognize XZ-? rotational inverted pendulum and learn system composition, working principle, using method, precautions and software platform. We master how to build mathematical model and state feedback control method (pole assignment algorithm) of the one order rotational inverted pendulum system and finish simulation study of system using Matlab. In the end we grasp debugging method of the actual system, and finish online control of the one order rotational inverted pendulum system as well.