Consider unity negative feedback system shown below: a) G₁(s) = R(s) b) G₂ (s) = Sketch and refine the root locus. Discuss and calculate the number of branches, the real axis segments, the starting and ending points, asymptotes, breakaway and break-in points, and jw axis crossings, if any. K(s+3) (s+2)(s+5)(s+6)' E(s) K(s+1)(s+3) (s²-2s+4) G(s) C(s)

b) Closed-loop transfer function of a unity-feedback system is given by Y(s) / R(s)=1/(ts+1) .Discuss steady-state error for positional, velocity, and acceleration input?

Given the system equipped with unitary feedback, whose direct branch transfer function is: Design a PID controller with one of the Ziegler-Nichols methods.

Below is a very common feedback block system. It is a 1dof, and unity-feedback system. The input is the reference command R(s). This is what flows out of thin air, into the system. All other signals in the system (e.g. U, Y, etc.) will depend on R(s). R(s) a. E(s) e. K U(s) G Y(s) Write the algebraic relation between the output Y(s) and the reference R(s) in terms of G and K?. Write it in the format Y = some function of s * R b. What is the TF from R to Y, aka the closed loop TF? What is the "Loop TF" aka the "the open-loop TF"? G has zeros at ZG1, ZG2 etc. and poles at PG1, PG2 etc. C. K has zeros at ZK1, ZK2 etc. and poles at PK1, PK2 etc. What are the zeros and the poles of OLTF? What are the zeros and the poles of CLTF? d. Write the algebraic relation between the error E(s)=R-Y and the reference R(s) in terms of G and K? Write it in the format E = some function of s * R. What is the TF from R to E? Write the algebraic relation between the controller output U(s) and the reference…

The open loop transfer function of a unity feedback control system is given below; G(s) = K s(s+2)(s2+2s+2) Plot the root locus and determine the value of k at the break away point.

K A unity feedback control system has G(s) = The input to the system s(s+2) Q2. is given by r(t) = 2 + 3t+ 2t² .Determine the generalized error coefficient and steady state error.

dont do the simscape piece