Q2. Consider the following transfer function: 2+1 G(Z) = 22 +2 +0.16 (2) 1. Find the...
Q2. Consider a LTI system described by the following model: -1 0 1 0 x + 0 u 1 -2 -3 y=1 2 0x 1. Find the transfer function G() 2. Find the controllable canonical form and the corresponding block diagram 3. Find the observable canonical form and the corresponding block diagram. 4. Find the observable canonical form and the corresponding block diagram. 21
The transfer function of a linear system is G(s) = Y(s) S-1 U(s) 5? + 4s +3 a. Express this system in the modal form. b. Express this system in the standard controllable form (SCF). (Parts d, e, f, and g use this system) c. In the standard controllable form, suppose the output is replaced by y=[-1 a] | [x2] Give a value for a which makes the system unobservable. d. What is y(t) if y(0-)=-3, ay = 6 and...
Problem 5: (20=10+5+5 points) Consider a causal system with the following transfer function (the z-transform) 2 +42-2 H2) = 1 - 52-1 +6 1-52-1 +62- 2 2 < 121 <3. (a) Find the inverse z-transform of H(2). (b) Find the difference equation with input-output relation for this system. (c) Draw the diagram of realization (in form II) for this system.
Find the discrete time unit step response of the system with transfer function G(z) = (z−1)/z(z+1)
Find a state model of the transfer function Ga(z) = 22 1
0.1311(22 2z1 5. The transfer function of a system is H(z) = z2-0.74780.2722 a) Find the frequency response function of the system b) Let xn] 1 cos(0.2nt)+cos(0.45n7). Find the steady-state response. Use Matlab c) Plot the magnitude and phase response using Matlab
0.1311(22 2z1 5. The transfer function of a system is H(z) = z2-0.74780.2722 a) Find the frequency response function of the system b) Let xn] 1 cos(0.2nt)+cos(0.45n7). Find the steady-state response. Use Matlab c) Plot the magnitude and...
Q2 (a) Consider the control system shown in Figure Q1 (a). Obtain the closed-loop transfer function of this system and by using MATLAB obtain the unit step response of this closed loop system - R(S) c(s) 36+1) (s + 1) Figure Q2 (a) (b) A sampler and a zero-order hold element were inserted into the system in Figure Q1(a) as shown in Figure Q1(b). Obtain the closed-loop pulse transfer function of this system and by using MATLAB or otherwise, obtain...
A transfer function for a 1St order with the following form: G(s) s+ a Find the values of a and b knowing that the system has the following characteristics T, 12 seconds and S.S.E-2 o a-3 b-1/3 o a 1 b-3
A transfer function for a 1St order with the following form: G(s) s+ a Find the values of a and b knowing that the system has the following characteristics T, 12 seconds and S.S.E-2 o a-3 b-1/3 o a...
5 -22-1 (12) Assume a Transfer Function Transfer Fune tion H (z) = 1.8z1 + 1.07 z"2 - 0.21z-3 1 Use the Matlab command zplane to make Matlab plot the pole zero diagram of He) superimpose a grid, and create a title containing your name and the problem number.
5 -22-1 (12) Assume a Transfer Function Transfer Fune tion H (z) = 1.8z1 + 1.07 z"2 - 0.21z-3 1 Use the Matlab command zplane to make Matlab plot the pole...
Problem 2: Output-feedback stabilization Consider the following system 0 -8 3-3 4 [2-92]z y = a) Verify that the system is observable and controllable. Then, design an output-feedback controller (based on a full-order observer) by placing the poles of the closed loop system at -1 j, -3, 12 ±j2. and-30 (mention which desired poles you select for your observer design and why).