Ball and Beam problem using PID Control In this digital control version of the ball and beam experiment, we are going to use the PID control method to design the digital controller. If you refer to the Ball and Beam Modeling page, the open-loop transfer function was derived as .....m........mass of the ball...............0.11 kg .....g........gravitational acceleration.....9.8 m/s^2 .....d........

Ball & Beam Problem Using the State-space Design Method The state-space representation of the ball and beam example is given below: Remember, unlike the previous examples where we controlled the gear's angle to control the beam and ball, here we are controlling alpha-doubledot. By doing this we are essentially controlling a torque applied at the center of the beam by a motor. Therefore, we do no..

Ball & Beam Problem Using Frequency Response Method The open-loop transfer function of the plant for the ball and beam experiment is given below: The design criteria for this problem are: Settling time less than 3 secondsOvershoot less than 5% To see the derivation of the equations for this problem refer to the ball and beam modeling page. A schematic of the closed loop system with a controller ..

Solution to the Ball & Beam Problem Using Root Locus Method The open-loop transfer function of the plant for the ball and beam experiment is given below: The design criteria for this problem are: Settling time less than 3 seconds Overshoot less than 5% To see the derivation of the equations for this problem refer to the ball and beam modeling page. A schematic of the closed loop system with a co..

Solution to the Ball & Beam Problem Using PID Control The open-loop transfer function of the plant for the ball and beam experiment is given below: The design criteria for this problem are: Settling time less than 3 seconds Overshoot less than 5% To see the derivation of the equations for this problem refer to the ball and beam modeling page. Closed-loop Representation The block diagram for this..

VIA[CTM] Modeling the Ball and Beam Experiment Problem Setup A ball is placed on a beam, see figure below, where it is allowed to roll with 1 degree of freedom along the length of the beam. A lever arm is attached to the beam at one end and a servo gear at the other. As the servo gear turns by an angle theta, the lever changes the angle of the beam by alpha. When the angle is changed from the ve..