10. Given the unity-feedback system of Figure P11.1 in the text problems with K (s + 10)(s + 15) do the following: G (s) — s(s + 2)(s + 5)(s + 20) R(s) ++, C(s) G(s) a) Use frequency response methods to determine the ...

9. Given a unity-feedback system with the forward-path transfer function G (s) — (s + 1)(s + 3)(s + 6) K Use MATLAB to do the following: a) draw the Bode plot b) draw the Nyquist diagram c) draw the Nichols chart d) find ...

8. The unity-feedback system shown in the figure below, with G(s) — (s2 + 4s + 8)(s + 10) K G(s) C(s) is to be designed to meet the following specifications: Overshoot: Less than 22% Settling time: Less than 1.6 seconds = 15 Do the following: a) Evaluate ...

7. For the unity-feedback system shown in the figure below, where K(s + 10)(s + 20) a. Sketch the root locus, b. Find the range of gain, K, that makes the system stable. c. Find the value of K that yields ...

6. For the system shown in the figure below a) What value of K will yield a steady-state error in position of 0.01 for an input of (1/10)t ? b) What is the K„ for the value of K found ...

S. For the unity-feedback system of Figure P6.3 in the text problems with G(s) — (s2 +1)(s + 4)(s —1) K(s + 2) Use the Routh table to find the range of K for which there will be only two closed-loop, right-half-plane poles. R(s) ...

4. Given the unity-feedback system of the figure below with 84 G(s) — s(s7 + Ss6 + 12s5 + 25s4 + 45.23 + SOs2 + 82s + 60) Use the Routh table to determine the following: a) How many poles of the closed-loop transfer ...

3. Find the state space representation of the following transfer function (20 points)

2. Solve y(t) for the following state-space system. Assume zero initial conditions: x = ollx + [201140; y(t) = [1 2]x

1. For the circuit shown in Figure 1, find the values of R2 and C to yield 8% overshoot with a settling time of 1 ms for the voltage across the capacitor, with vi (t) as a step input. 1H R2 Figure 1