Problem 4. Consider the following so-called lead-lag transfer function (s+3) (s+0.05) G(s) = (s+18) (s+0.005) U(s)' Y(s) Lead Lag a) Find a state space representation using phase variables for the lead-lag transfer function Draw a simulation diagram by hand or in Simulink. b)

This is a practice question from my Introduction to Circuits course. What is the process for solving this? Thank you for your assistance.

Please solve No. 1 below. Please provide a clear and readable solution. I appreciate any help you can provide. The course subject is Feedback Control Systems. NOTE: Convert the following system to signal flow graph and solve for the transfer function using Mason’s Rule. Thanks!!!

3. In this problem, use the two closed loop systems given in the figure to answer the questions below. 4 R(s) K₁ 0.0099 In thin K₂ Y(s) R(s) K₁ 4 S(s) = 0.09 K₂ 0.09 (a) Show that these two systems have the same transfer function for K₁ = K₂ = 100 (b) Using the definition of sensitivity, S(s), for each system calculate the sensitivity to the parameter K₁ with K₁ and K₂ as variables. Recall: Y(s) OG G OG Gal (c) Substitute K₁ = K₂ = 100 into each S(s) and compare the sensitivities to parameter K₁.