Homework Answers
Request Answer!
We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
Add Answer to:
Q2. Consider a LTI system described by the following model: -1 0 1 0 x +...
Q2. Consider the following transfer function: 2+1 G(Z) = 22 +2 +0.16 (2) 1. Find the...
Q2. Consider the following transfer function: 2+1 G(Z) = 22 +2 +0.16 (2) 1. Find the controllable form of the system. 2. Find the observable form of the system. 3. Find the modal form of the system. 4. The system is it contrallable?
Consider the linear system given by the following differential equation y(4) + 3y(3) + 2y +...
Consider the linear system given by the following differential equation y(4) + 3y(3) + 2y + 3y + 2y = ů – u where u = r(t) is the input and y is the output. Do not use MATLAB! a) Find the transfer function of the system (assume zero initial conditions)? b) Is this system stable? Show your work to justify your claim. Note: y(4) is the fourth derivative of y. Hint: Use the Routh-Hurwitz stability criterion! c) Write the...
For a causal LTI discrete-time system described by the difference equation:
For a causal LTI discrete-time system described by the difference equation: y[n] + y[n – 1] = x[n] a) Find the transfer function H(z).b) Find poles and zeros and then mark them on the z-plane (pole-zero plot). Is this system BIBO? c) Find its impulse response h[n]. d) Draw the z-domain block diagram (using the unit delay block z-1) of the discrete-time system. e) Find the output y[n] for input x[n] = 10 u[n] if all initial conditions are 0.
1. Consider the system described by: *(t) - 6 m (0) + veu(t): y(t) = 01...
1. Consider the system described by: *(t) - 6 m (0) + veu(t): y(t) = 01 (1) 60 = {1, 1421 a) Find the state transition matrix and the impulse response matrix of the system. b) Determine whether the system is (i) completely state controllable, (ii) differentially control- lable, (iii) instantaneously controllable, (iv) stabilizable at time to = 0. c) Repeat part (b) for to = 1. d) Determine whether the system is (i) observable, (ii) differentially observable, (iii) instanta-...
2.6.1 Consider a causal continuous-time LTI system described by the differential equation u"(t) +...
2.6.1-2.6.62.6.1 Consider a causal contimuous-time LTI system described by the differential equation$$ y^{\prime \prime}(t)+y(t)=x(t) $$(a) Find the transfer function \(H(s)\), its \(R O C\), and its poles.(b) Find the impulse response \(h(t)\).(c) Classify the system as stable/unstable.(d) Find the step response of the system.2.6.2 Given the impulse response of a continuous-time LTI system, find the transfer function \(H(s),\) the \(\mathrm{ROC}\) of \(H(s)\), and the poles of the system. Also find the differential equation describing each system.(a) \(h(t)=\sin (3 t) u(t)\)(b)...
4. Block Diagrams (a) Consider a causal LTI system with transfer function Show the direct-form block diagram of Hi(s) b) Consider a causal LTI system with transfer function H282+4s -6 H (s) = 2 Show...
4. Block Diagrams (a) Consider a causal LTI system with transfer function Show the direct-form block diagram of Hi(s) b) Consider a causal LTI system with transfer function H282+4s -6 H (s) = 2 Show the direct-form block diagram of Hi(s) (c) Now observe that to draw a block diagram as a cascaded combination of two 1st order subsystems. (d) Finally, use partial fraction expansion to express this system as a sum of individual poles and observe that you can...
4. Block Diagrams (a) Consider a causal LTI system with transfer function H(s)2 Show the direct-form block diagram of Hi(s) (b) Consider a causal LTI system with transfer function 2s2 +4s -6 H(s)- Sh...
4. Block Diagrams (a) Consider a causal LTI system with transfer function H(s)2 Show the direct-form block diagram of Hi(s) (b) Consider a causal LTI system with transfer function 2s2 +4s -6 H(s)- Show the direct-form block diagram of Hi(s) c) Now observe that to draw a block diagram as a cascaded combination of two 1st order subsystems. d) Finally, use partial fraction expansion to express this system as a sum of individual poles and observe that you can draw...
Consider a causal LTI system described by e yin]-ανίn- μ) = xjn] A. What is the...
Consider a causal LTI system described by e yin]-ανίn- μ) = xjn] A. What is the condition of o over which the system is BIBO stable? B. For & = /½ and u 2, find this system transfer function. C. For the same conditions in part B, find the frequency response H() D. Determine the magnitude and phase of H(o). E. Use MATLAB to sketch the magnitude spectrum over 0< w s 2n
Consider a causal LTI system described by...
b(t) 1. Consider the system described by: 2. Consider the sy uuu It tet i(t) =...
b(t) 1. Consider the system described by: 2. Consider the sy uuu It tet i(t) = 0 -1 ] y(t) = (1 out) u(t) , 0, \t <1 (1, t > 1 a) Find the state transition matrix and the impulse response matrix of the system. 2D) Determine whether the system is (i) completely state controllable, (ii) differentially control lable, (iii) instantaneously controllable, (iv) stabilizable at time to = 0. (c) Repeat part (b) for to = 1. gd) Determine...
For LTI dynamical system (0 y(t) 1 0(t) study the internal stability, the controllability and the...
For LTI dynamical system (0 y(t) 1 0(t) study the internal stability, the controllability and the observability of the system; before computing G(s), try to figure out the BIBO stability properties of the system given the information obtained at the previous point; compute G(s), verifying that, if the system is not fully controllable or not fully observable, some zero/pole cancellations occur; also, draw conclusions about BIBO stability.
For LTI dynamical system (0 y(t) 1 0(t) study the internal stability, the...
Q2. Consider the following transfer function: 2+1 G(Z) = 22 +2 +0.16 (2) 1. Find the controllable form of the system. 2. Find the observable form of the system. 3. Find the modal form of the system. 4. The system is it contrallable?
Consider the linear system given by the following differential equation y(4) + 3y(3) + 2y + 3y + 2y = ů – u where u = r(t) is the input and y is the output. Do not use MATLAB! a) Find the transfer function of the system (assume zero initial conditions)? b) Is this system stable? Show your work to justify your claim. Note: y(4) is the fourth derivative of y. Hint: Use the Routh-Hurwitz stability criterion! c) Write the...
1. Consider the system described by: *(t) - 6 m (0) + veu(t): y(t) = 01 (1) 60 = {1, 1421 a) Find the state transition matrix and the impulse response matrix of the system. b) Determine whether the system is (i) completely state controllable, (ii) differentially control- lable, (iii) instantaneously controllable, (iv) stabilizable at time to = 0. c) Repeat part (b) for to = 1. d) Determine whether the system is (i) observable, (ii) differentially observable, (iii) instanta-...
2.6.1-2.6.62.6.1 Consider a causal contimuous-time LTI system described by the differential equation$$ y^{\prime \prime}(t)+y(t)=x(t) $$(a) Find the transfer function \(H(s)\), its \(R O C\), and its poles.(b) Find the impulse response \(h(t)\).(c) Classify the system as stable/unstable.(d) Find the step response of the system.2.6.2 Given the impulse response of a continuous-time LTI system, find the transfer function \(H(s),\) the \(\mathrm{ROC}\) of \(H(s)\), and the poles of the system. Also find the differential equation describing each system.(a) \(h(t)=\sin (3 t) u(t)\)(b)...
4. Block Diagrams (a) Consider a causal LTI system with transfer function Show the direct-form block diagram of Hi(s) b) Consider a causal LTI system with transfer function H282+4s -6 H (s) = 2 Show the direct-form block diagram of Hi(s) (c) Now observe that to draw a block diagram as a cascaded combination of two 1st order subsystems. (d) Finally, use partial fraction expansion to express this system as a sum of individual poles and observe that you can...
4. Block Diagrams (a) Consider a causal LTI system with transfer function H(s)2 Show the direct-form block diagram of Hi(s) (b) Consider a causal LTI system with transfer function 2s2 +4s -6 H(s)- Show the direct-form block diagram of Hi(s) c) Now observe that to draw a block diagram as a cascaded combination of two 1st order subsystems. d) Finally, use partial fraction expansion to express this system as a sum of individual poles and observe that you can draw...
Consider a causal LTI system described by e yin]-ανίn- μ) = xjn] A. What is the condition of o over which the system is BIBO stable? B. For & = /½ and u 2, find this system transfer function. C. For the same conditions in part B, find the frequency response H() D. Determine the magnitude and phase of H(o). E. Use MATLAB to sketch the magnitude spectrum over 0< w s 2n
Consider a causal LTI system described by...
b(t) 1. Consider the system described by: 2. Consider the sy uuu It tet i(t) = 0 -1 ] y(t) = (1 out) u(t) , 0, \t <1 (1, t > 1 a) Find the state transition matrix and the impulse response matrix of the system. 2D) Determine whether the system is (i) completely state controllable, (ii) differentially control lable, (iii) instantaneously controllable, (iv) stabilizable at time to = 0. (c) Repeat part (b) for to = 1. gd) Determine...
For LTI dynamical system (0 y(t) 1 0(t) study the internal stability, the controllability and the observability of the system; before computing G(s), try to figure out the BIBO stability properties of the system given the information obtained at the previous point; compute G(s), verifying that, if the system is not fully controllable or not fully observable, some zero/pole cancellations occur; also, draw conclusions about BIBO stability.
For LTI dynamical system (0 y(t) 1 0(t) study the internal stability, the...
Most questions answered within 3 hours.
-
A baseball batter hits a 0.145kg baseball straight up into the
air. The baseball leaves the...
asked 20 minutes ago -
An FM modulator is tested using
single-tone baseband signal with frequency of 50kHz and a sprectrum...
asked 39 minutes ago -
Write the ionic equations for the first stage of salts
hydrolysis.
Anion, Cation?
Na2S
NiSO4
K2SO4...
asked 2 hours ago -
suppose there is a normally distributed population with a mean of
250 and a standard deviation...
asked 2 hours ago -
Question Three
Suppose you as project manager are using the Waterfall
development methodology on a large...
asked 3 hours ago -
Which statement is not true about welfare in Canada?
A.Benefits typically vary based on one's ability...
asked 4 hours ago -
Please help me with FLOWCHART and UML diagram for class,
thank you!
#include <iostream>
#include <fstream>...
asked 5 hours ago -
3. Describe the “logic circuit” of the Lac operon. Which
proteins are bound or not to...
asked 5 hours ago -
Ayesha’s adjusted gross income is $60,000 in 2019. She donated a
piece of artwork with a...
asked 5 hours ago -
For Dijkstra’s shortest path algorithm:
a. Give the Big-O time for Dijkstra’s shortest path algorithm
and...
asked 5 hours ago -
Phosphorus violates the 'octet rule' in biological molecules,
forming more covalent bonds than expected based on...
asked 5 hours ago -
A 1.3 eV electron has a 10-4 probability of tunneling
through a 2.4 eV potential barrier....
asked 5 hours ago