Question

Can you please use matlab to confirm this design with graphs!

Need help designing this! g-9.8,r 0.0254,10.42545 Use Bode method to design lead-lag compensator for the ball and beam system. 1. The Design specifications for the ball and beam systems are: (a) Settling time no more than 5 seconds; (b) Overshot no more than 10%; (c) Steady-state error is no more than 6.67% or Ka-15. 2. The design specifications for the DC servo are: PO 0.13. The specifications here are used for reference only. The ultimate specifications are for the ball and beam system. 7% and ts Recall that the design has two components: The first is the compensator design for the actuator which is a DC servo; The second is the compensator design for the ball and beam system. The mathematical models of the DC servo and the ball-beam systems are represented by transfer functions G.+31.58 5gr 61.54 G(s)Ls

Answer 1

Ans: Matlab design fpr ball and beam are as follows

m = 2.5;
R = 0.0254;
g = -9.8;
L = 0.42545;
d = 0.05;
J = 9.99e-6;
s = tf('s');
P_ball = -m*g*d/L/(J/R^2+m)/s^2;

bode()p_ball

Bode Diagram 10 S -20 -30 -40 L -179 179.5 -180 180.5 181 10 10 Frequency (rad/s)

2) for dc servo actuator

Step Response From: Speed Demand (rpm) 0.8 0.6 0.4 0.2F × 10 6 Initial tuning Tuning with Gain Constraints 4 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 Time (seconds)