R() + -14 the system shown in Figure 4, Find: el00) for r(t) = 15H(t), r(t)...
C(8) for the system shown in Figure 1. R(S Find the equivalent transfer function, Geg (s) 1 Cix) Figure 1. Block diagram 2s+1 s(5s+6Ge(s) = and Figure 2 shows a closed-loop transfer function, where G(s) 2. proper H(s) K+s. Find the overall closed-loop transfer function and express is as rational function. C(s) Ea (s) Controller R(s) +/ Plant G(s) Ge (s) Feedback H(s) Figure 2. Closed loop transfer function Construct the actuation Error Transfer Function associated with the system shown...
Chapter 14, Problem 14.18 For the network shown in the figure, find vo(t), t > 0, using mesh equations 2? 3 H 2 2u(t) A 2 Find Vo(t) att 1 s 4 the tolerance is +/-2%
2. (30 marks] Consider the system shown in Fig. 1. Find the output y(t) for the following h(t) and r(t) using the convolution integral. x(r) y(r) h(t) Figure 1: System for Q2 1.5 2t33 0 otherwise h(t)=2rect(-3.5) x(t) = h(t) = 2 rect (-3 -
3. Find the steady-state errors for inputs of 5u(t), 5tu(t), and 5t’u(t) to the system shown in Figure 2. The input signal u(t) is the unit step function. R(5) E(s) C(s) 120(s + 2) (s +3)(s + 4) Figure 2. Feedback control system
please show steps For the system shown in the figure. a. Find the transfer function 0,(s)/T(S). b. Find the damping Dyo yield a 20% gvershoot in output angular displacement for a step torque input. N =25 kg-r W3 10 N2=5 D N-m/rad N4 5 0000 For the system shown in the figure. a. Find the transfer function 0,(s)/T(S). b. Find the damping Dyo yield a 20% gvershoot in output angular displacement for a step torque input. N =25 kg-r W3...
13. For the system shown in Figure P7.4, [Section: 7.3 a. Find Kp, K, and Ka b. Find the steady-state error for an input of 50u(t) 50tu(t), and 50t²u(t). c. State the system type. R(S) 5 C(s) s(s + 1)(8 + 2) (s +4) FIGURE P7.4
Signal And System (5 ) Consider a system as shown in Figure 5. x(t) . + 1 2 3 4 5 6 Figure 5 (iii) Find the even and odd components of the signal x(t).
14. There is a two-degree-of-freedom system with no external force as shown in Figure 4. Here, kı=kz=k=10kN/m, ka=ks=2kN/m and m:=m2=2kg, answer the following. (25 points) 14-1. Find the equation of motion in matrix-vector form. 14-2. Find the natural frequencies W1, W2 (rad/sec) through the eigenvalue problem. 14-3. Find the eigenvectors corresponding to the eigenfrequencies through the eigenvalue problem, except that the first element is 1. X + ke ki 111; W ke Figure 4. Two degree of freedom model
Problem #1 For the system below, find the steady-state error for the inputs 15u(t), 15t(t), and 15t2u(t), respectively. [0, 127.5,] R(s)+ C(s) 2 s+3 4s
1- [25] Find the state-space representation of the system shown in the Figure. The output is Vo(t) R v;(t) C0000