Homework Answers
Add Answer to:
The systems represented by these block diagrams can each be described by a differential equation of...
2.38. Draw block diagram representations for causal LTI systems described by the fol- lowing difference equations:...
2.38. Draw block diagram representations for causal LTI systems described by the fol- lowing difference equations: (b) y[n] y[n-1] + x[n-1] 2.39. Draw block diagram representations for causal LTI systems described by the fol- lowing differential equations: (a) yt)--G)dy(t)/dt +4x() (b) dy(t)/dt+3y(t) = x(t)
2 A robot-arm drive system for one joint can be represented by the differential equation dv...
2 A robot-arm drive system for one joint can be represented by the differential equation dv kvt)k2y(t)+ kyi(t) dt position, and i(t) is the control-motor current velocity, y(t) Where v(t) Derive the state-space equation of the system a) (5 marks) b) By using Routh-Hurwitz criterion, determine the conditions for k,k2,and ky so that the system remains stable? (5 marks)
2 A robot-arm drive system for one joint can be represented by the differential equation dv kvt)k2y(t)+ kyi(t) dt position, and...
Consider a CTLTI system described by the following ordinary differential equation with constant coefficients: N M...
Consider a CTLTI system described by the following ordinary differential equation with constant coefficients: N M dky(t) 2 ak ak dtk , dkx(t) Ok atk bk - 2 k=0 k=0 The system function H(s) is defined as the Laplace transform of the impulse response h(t) of the system. Write and prove the expression of H(s) as a function of the coefficients of the differential equation. Justify each single step of the proof from first principles (hypothesis, thesis, proof).
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)...
2. Consider the following interconnection of four LTI systems where each system is described by its...
2. Consider the following interconnection of four LTI systems where each system is described by its impulse response, denoted by h,(t) for i E (1,2,3,4): i (t) hi(t) r(t) z(t) (t)h) но hs(t) alt) h4(t) 2(t) It is not hard, but is tedious, to show that an interconnection of LTI systems is LTI. Assuming this result, consider the system a(t) b(t) where r(t) and b(t) are the same signals in the two block diagrams and h(t) is the impulse response...
Matlab Homework #4: Matlab Linear Systems Simulation 1.) Obtain the differential equation for the...
Matlab Homework #4: Matlab Linear Systems Simulation 1.) Obtain the differential equation for the mechanical system shown below bi FLR) orce CN) voltege ) 2.) Obtain the differential equation for the electrical system shown below shown below OAF 3.) Find the transfer functions corresponding to the differential equations found in questions I and 2 the 4) Let the input force applied to the block of the mechanical system be zero U)-のThe initial conditions are y(0) = 10 cm and dy(0)d-0....
For each of the following systems, determine which of the above properties hold. 5. General properties...
For each of the following systems, determine which of the above
properties hold.
5. General properties of systems. A system may or may not be: (a) Memoryless (b) Time Invariant (c) Linear (d) Causal (e) Stable For each of the following systems, determine which of the above properties hold. (a) y(t)sin(2t)x(t) { 0, x(t)2t 3) t20 t <0 (b) y(t) = (c) yn3[n ] -n-5] x[n], 0, n 1 (d) yn 0 n= n2, n< -1
5. General properties of...
Let a linear system with input x(t) and output y(t) be described by the differential equation...
Let a linear system with input x(t) and output y(t) be described
by the differential equation .
(a) Compute the simplest math function form of the impulse
response h(t) for this system. HINT: Remember that with zero
initial conditions, the following Laplace transform pairs hold:
Let the time-domain function p(t) be given by p(t) = g(3 − 0.5
t). (a) Compute the simplest piecewise math form for p(t).
(b) Plot p(t) over the range 0 ≤ t ≤ 10 ....
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 the system described by the following differential equation d3y(t) d2y(t) d2x(t) dy(t) 3 dt dx(t)...
For the system described by the following differential equation d3y(t) d2y(t) d2x(t) dy(t) 3 dt dx(t) 9 dt y(t) 5x(t) 7 2 6 dt3 dt2 dt2 Express the system transfer function using the pole-zero plot technique a) b) What can be said about the stability of this stem?
For the system described by the following differential equation d3y(t) d2y(t) d2x(t) dy(t) 3 dt dx(t) 9 dt y(t) 5x(t) 7 2 6 dt3 dt2 dt2 Express the system transfer function using...
2.38. Draw block diagram representations for causal LTI systems described by the fol- lowing difference equations: (b) y[n] y[n-1] + x[n-1] 2.39. Draw block diagram representations for causal LTI systems described by the fol- lowing differential equations: (a) yt)--G)dy(t)/dt +4x() (b) dy(t)/dt+3y(t) = x(t)
2 A robot-arm drive system for one joint can be represented by the differential equation dv kvt)k2y(t)+ kyi(t) dt position, and i(t) is the control-motor current velocity, y(t) Where v(t) Derive the state-space equation of the system a) (5 marks) b) By using Routh-Hurwitz criterion, determine the conditions for k,k2,and ky so that the system remains stable? (5 marks)
2 A robot-arm drive system for one joint can be represented by the differential equation dv kvt)k2y(t)+ kyi(t) dt position, and...
Consider a CTLTI system described by the following ordinary differential equation with constant coefficients: N M dky(t) 2 ak ak dtk , dkx(t) Ok atk bk - 2 k=0 k=0 The system function H(s) is defined as the Laplace transform of the impulse response h(t) of the system. Write and prove the expression of H(s) as a function of the coefficients of the differential equation. Justify each single step of the proof from first principles (hypothesis, thesis, proof).
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)...
2. Consider the following interconnection of four LTI systems where each system is described by its impulse response, denoted by h,(t) for i E (1,2,3,4): i (t) hi(t) r(t) z(t) (t)h) но hs(t) alt) h4(t) 2(t) It is not hard, but is tedious, to show that an interconnection of LTI systems is LTI. Assuming this result, consider the system a(t) b(t) where r(t) and b(t) are the same signals in the two block diagrams and h(t) is the impulse response...
Matlab Homework #4: Matlab Linear Systems Simulation 1.) Obtain the differential equation for the mechanical system shown below bi FLR) orce CN) voltege ) 2.) Obtain the differential equation for the electrical system shown below shown below OAF 3.) Find the transfer functions corresponding to the differential equations found in questions I and 2 the 4) Let the input force applied to the block of the mechanical system be zero U)-のThe initial conditions are y(0) = 10 cm and dy(0)d-0....
For each of the following systems, determine which of the above
properties hold.
5. General properties of systems. A system may or may not be: (a) Memoryless (b) Time Invariant (c) Linear (d) Causal (e) Stable For each of the following systems, determine which of the above properties hold. (a) y(t)sin(2t)x(t) { 0, x(t)2t 3) t20 t <0 (b) y(t) = (c) yn3[n ] -n-5] x[n], 0, n 1 (d) yn 0 n= n2, n< -1
5. General properties of...
Let a linear system with input x(t) and output y(t) be described
by the differential equation .
(a) Compute the simplest math function form of the impulse
response h(t) for this system. HINT: Remember that with zero
initial conditions, the following Laplace transform pairs hold:
Let the time-domain function p(t) be given by p(t) = g(3 − 0.5
t). (a) Compute the simplest piecewise math form for p(t).
(b) Plot p(t) over the range 0 ≤ t ≤ 10 ....
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 the system described by the following differential equation d3y(t) d2y(t) d2x(t) dy(t) 3 dt dx(t) 9 dt y(t) 5x(t) 7 2 6 dt3 dt2 dt2 Express the system transfer function using the pole-zero plot technique a) b) What can be said about the stability of this stem?
For the system described by the following differential equation d3y(t) d2y(t) d2x(t) dy(t) 3 dt dx(t) 9 dt y(t) 5x(t) 7 2 6 dt3 dt2 dt2 Express the system transfer function using...
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 10 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 10 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 10 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 10 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 10 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 10 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 10 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 10 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 10 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 10 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 10 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 10 months ago