State variables control for a ball and beam system

Includes bibliographical references (leaf 75)In this project, we first describe the application of pole placement method for a ball and beam system. We present in detail the derivation of the state-space equations, system response as well as the state feedback gain matrix. Next, we present a PID controller in the context of the root locus design methodology. We use a ball position control problem to illustrate the root locus design method for obtaining valid values of the controller gains that meet our design specifications. In the end, Matlab program and simulation results are provided. In these, Matlab is used to analyze the controllability of the system, perform the state variables control system and graphical simulation of the position for a ball and beam system