Closed Loop Transfer Function Problem

Derive an expression for the closed loop transfer function: h(s) = Y(s) ---- R(s) for a gain k = 10. Work i have done so far: Ea(s) = R(s) - B(s) = R(s) - H(s)Y(s) Because the output is related to the actuating signal by G(s), we have Y(s) = G(s) Ea(s) Therefore: Y(s) = G(s) [R(s) - H(s)Y(s)] Now, solving for Y(s), we obtain: Y(s) [ 1 + G(s)H(s) ] = G(s)R(s) Therefore the transfer function relating the output Y(s) to the input R(s) is: Y(s) = G(s) ---- ------------------------------- R(s) 1 + G(s) H(s) Now, as the gain is equal to 10, I'm not sure if i have to just substitu... click for more

Basic PLC problems

Basic PLC problems. See attached file for full problem description.

Define the equations in matrix form

Write the equations in standard matrix form and identify the A, B, C, and D matrices Draw a simulation (block) diagram. See attached file for full problem description.

Find the state models for the systems

Find the state models for the systems. See attached file for full problem description.

Basic PLC problems

Basic PLC problems. See attached file for full problem description.