Problem 2. A signal flow graph for a system with input (k) and output y(k) is...
Question 1: Given the Block Diagram as shown in Figure 1. Draw the Signal Flow Graph and find the overall system Transfer Function using Mason's Gain formula. R G G Gg H G Figure 1. Block Diagram Representation
Xs) H/(%) Fig. 2. System with disturbance a) Draw its corresponding Signal-Flow graph model b) Obtain the transfer function G(s) = Y(s)/T1(s) using Mason's formula based on the Signal-Flow graph model. Assume that R(s)0.
Consider the system described in the figure below. a. Draw a signal-flow diagram for the given system. b. Using Mason's rule find the transfer function of the system. c. Find the value(s) of K for which the system will be stable. R(S) C(s) 5+1
Consider the system described in the figure below. a. Draw a signal-flow diagram for the given system. b. Using Mason's rule find the transfer function of the system. c. Find the value(s) of K for which the system will be stable. R(S) C(s) WIN 1 5+1
4. Find the modified signal flow graph from the block diagram in Figure 2 5. Determine the output wrt. the input R(s) Y (s) Gi(s) G2(s) H1(s) H2(s) Figure 2: A hybrid system.
Consider the block diagram in figure 2 a. Hy R(s) GI G G3 +1 Figure 2 Convert figure 2 to signal flow graph. Using your result in Q5ali), determine the transfer function using the Mason's gain (2marks) formula. Consider the block diagram in figure 2 a. Hy R(s) GI G G3 +1 Figure 2 Convert figure 2 to signal flow graph. Using your result in Q5ali), determine the transfer function using the Mason's gain (2marks) formula.
3. Block diagram consist of functions performed by each component of a system and flow of signals meanwhile, signal flow graph consists of branches which represents the systems and nodes which represents the signals For the block diagram shown in Figure 5, determine the relationship between the output variable C(s) and the input variable R(s) by analyzing the system's variables. (a) (12 marks) Gil GloC V(s) Figure 5 (b) Consider a simple first-order system G(s). Find the time constant and...
(2) Consider the causal discrete-time LTI system with an input r (n) and an output y(n) as shown in Figure 1, where K 6 (constant), system #1 is described by its impulse response: h(n) = -36(n) + 0.48(n- 1)+8.26(n-2), and system # 2 has the difference equation given by: y(n)+0.1y(n-1)+0.3y(n-2)- 2a(n). (a) Determine the corresponding difference equation of the system #1. Hence, write its fre- quency response. (b) Find the frequency response of system #2. 1 system #1 system #2...
1.3. Assume a discrete-time system with input u(k) and output y(k). The system has a constant input disturbance d. Find the augmented state-space model with input Au(k) and output y(k) for the plant model given as below: Im(k +1) = AmIm (k) + Bmu(k) + Bad; y(k) = Cmlm (k) (1.82) [10.5 0 ] [ 0.51 where Am = 0.1 -0.1; Bm = 1 ; Cm = [101]; Ba= 100 0.8 -0.6 1. Calculate the plant transfer function that relates...
For a signal representation shown graphically, it can be represented in terms of some basic signals such as unit step function. Consider the graphical representation of signal as in Figure Q1. (a) State the expression of x(t) in terms of the unit step function. (4 marks) (b) Find the expression for xo(t) and xe(t). (8 marks) (c) Plot y(t) = 3x(2t - 1). (5 marks) (d) Determine the energy and power of the signal x(t) given in Figure Q1. 0...