Solution
QUESTION 2 For the following transfer function R(S) 32.75 +2 +992 +265 +24 Find the state...
2. Find the state space representation of the system represented by the following transfer function: (s +1.2) (s 15.8) (s +23) s(S 1.3) (s +7.2) (s + 47) G(s)- 3. Find the transfer function of the system with the following state space representation: 1 3.2 1.6 1(01) [-1 e) -7.4 2.4 -9.1l(O You may use your calculator, Matlab, or calculate by hand to find the following transfer functions: G1(s) 0,() R(S) G3(s) s) R(
Question #2 ( 25 points) C(s) a) Reduce the block diagram shown in Figure 1 to a single transfer function T(s) =R) using the append and connect commands in MATLAB. pts b) Using Simulink simulate the transfer obtained in a) for a step input. c) Obtain the state-space representation of T(s). [10 [5 pts [10 pts] C(s) Ris 50 s+I 2 Figure 1 -Irt Question #2 ( 25 points) C(s) a) Reduce the block diagram shown in Figure 1 to...
9. For the transfer function: Find its state space representation. 10. A system is described by the following differential equations: Find its state space representation.
Determine the transfer function of the system ***with an added inductor***. Then determine the state space representation of the system shown with an added inductor. us Question Determine the Transfer Function of the systern in Problem #2, but now added into the circuit (figure below). (4 points) a) ith an inductor b) Determine the State-Space representation for the system with R. b6m
For the transfer function given below G(S) 2s + 2 52 +53 +6 a) Find the differential equation. b) Present this system in a state space representation with a diagonal state matrix. c) Present this system using pole-zero form.
Convert following the transfer function into state space representation (Marks 5) 3 +45² T($) = 54 +52 +7 Convert the following state space into a transfer function. (Marks 5) x = 11 * = x + ( u 21 y = [02]x + [2]u Evaluate the steady-state error of state-space system. (Marks 5) i [ 10] [21. *= 15 2]* +11 y = [ 02]x + [2]u Evaluate the steady-state error of state-space system. (Marks 5) -1 0x+lu x =...
HW #6 1. Answer the following questions. (a) Convert the transfer function to the state-space representation 4 G)33+2 (b) Convert the state-space representation to the transfer function. X2 y=(11) Cl X2
Problem 4. Transfer function to state space form Find the state-space form of the following transfer func- tions (see Section 4.4.1 in the book). This requires zero computation, it just requires you understand how a SISO transfer function relates to the state space form shown in the book. a) = Y(s) _ 68 +3 G(s) s3 + 26s2 5s 50 b) Y(s) + 2s2 + 4s 6 U(s) s3 +12s +12
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...
53.) Determine the transfer function of the system represented by the following space state representation. 3= 13* = 11 (33+ [1] y = [1 01Q;}