This and thesis is exctracted from the following papers : Landry , M ., Campbell , S . A ., Morris, K . and Aguilar, C . O ., quot; Dynamics of an Inverted Pendulum with Delayed Feedback Control quot; , SIAM J . Applied Dynamical Systems , 4 (2005) , No . 2 , 333–351 An experimental system consisting of a pendulum is considered which is free to rotate 360 degrees, attached to a cart. The cart can move in one dimension. A model for this system is presented and is used to design a feedback control law that stabilizes the pendulum in the upright position.
