Homework Answers
Add Answer to:
Onsider the one dimensional system T- T tu,y-T. Design a control u to track a given function r(t)...
17. X A function u of two variables is defined implicitly by u(х, 1) — /(г — tu(x, t)), where fis a given bounded, diff...
17. X A function u of two variables is defined implicitly by u(х, 1) — /(г — tu(x, t)), where fis a given bounded, differentiable function of one variable, f : R - R. 2019 School of Mathematics and Statistics, UNSW Sydney CHAPTER 1. FUNCTIONS OF SEVERAL VARIABLES 24 ди ди and Эх a) Calculate ди ди + u дt b) Show that = 0. дх ди c) Given that f(s) = 1 - tanh s, find the smallest positive...
Q.4 A position control system is shown in Figure Q4. Assume that K(s) = K, the plant 50 s(0.2s +1) transfer function is given by G(s) s02s y(t) r(t) Figure Q4: Feedback control system. (a) Design a l...
Q.4 A position control system is shown in Figure Q4. Assume that K(s) = K, the plant 50 s(0.2s +1) transfer function is given by G(s) s02s y(t) r(t) Figure Q4: Feedback control system. (a) Design a lead compensator so that the closed-loop system satisfies the following specifications (i) The steady-state error to a unit-ramp input is less than 1/200 (ii) The unit-step response has an overshoot of less than 16% Ts +1 Hint: Compensator, Dc(s)=aTs+ 1, wm-T (18 marks)...
Problem 1: Let y()- r(t+2)-r(t+1)+r(t)-r(t-1)-u(t-1)-r(t-2)+r(t-3), where r(t) is the ramp function. a) plot y(t) b) plot...
Problem 1: Let y()- r(t+2)-r(t+1)+r(t)-r(t-1)-u(t-1)-r(t-2)+r(t-3), where r(t) is the ramp function. a) plot y(t) b) plot y'() c) Plot y(2t-3) d) calculate the energy of y(t) note: r(t) = t for t 0 and 0 for t < 0 Problem 2: Let x(t)s u(t)-u(t-2) and y(t) = t[u(t)-u(t-1)] a) b) plot x(t) and y(t) evaluate graphically and plot z(t) = x(t) * y(t) Problem 3: An LTI system has the impulse response h(t) = 5e-tu(t)-16e-2tu(t) + 13e-3t u(t) The input...
Need help asap. will rate Determine the system response y(t) for h(t)=u(t)tu(t-2) and x(t)=u(t). [Hint: use...
Need help asap. will rate
Determine the system response y(t) for h(t)=u(t)tu(t-2) and x(t)=u(t). [Hint: use Laplace Transform multiplication: C[x(t) *h(t)) = X(s)H(s). y(t) = tu(t)-(t +2)u(t + 2) y(t) = tu(t) + (t - 2)u(t + 2) y(t) = tu(t) + (t - 2)u(t - 2) y(t) = tu(t)-(t - 2)u(t - 2) Question 8 (10 points) What is the Fourier Transform of f(t) = 55(t - 1)? ew 5e-sw 5e-510 را که م
In a one-dimensional system at time t-0, the wave function of a particle is given by...
In a one-dimensional system at time t-0, the wave function of a particle is given by the function xfor 0SxSL 0 elsewhere -A opl as sketched in the diagram, where A is a positive constant. If the position of the particle is measured at time t-0, what is the probability of finding it somewhere in the interval 0 sx S L22 Specify your answer as a fraction or as a decimal correct to 2 significant figures. probability
7.16C). Given the control system shown in Figure P7.16 where the plant transfer function G(o) is given by 2.0 design a PID controller for this system. Cis) R(s) 2.0 sis+ 1)(s+3) Plant PID control...
7.16C). Given the control system shown in Figure P7.16 where the plant transfer function G(o) is given by 2.0 design a PID controller for this system. Cis) R(s) 2.0 sis+ 1)(s+3) Plant PID controller FIGURE P7.16
7.16C). Given the control system shown in Figure P7.16 where the plant transfer function G(o) is given by 2.0 design a PID controller for this system. Cis) R(s) 2.0 sis+ 1)(s+3) Plant PID controller FIGURE P7.16
Question 5 An LTI system has an input signal given by x(t) = e-tu(t). The output...
Question 5 An LTI system has an input signal given by x(t) = e-tu(t). The output of the system is measured and found out to be given by y(t) = e-tu (t) + e-t+1 u(t-1). Find the system transfer function, H(s) 4 marks a. b. Find the system impulse response, h(t) 4 marks c. Describe in words what is the functionality of this svstem (i.e., what does it do on the inputs sigmal to produce the output simal?). [2 marks]
(a) At time t 0, a one-dimensional bound system is in a state described by the normalized wave function V(r,0). The sys...
(a) At time t 0, a one-dimensional bound system is in a state described by the normalized wave function V(r,0). The system has a set of orthonormal energy eigenfunctions (), 2(x),.. with corresponding eigenvalues E, E2, .... Write down the overlap rule for the probability of getting the energy E when the energy is measured at time t 0 (b) Suppose that a system is described by a normalized wave function of the form (,0) an(r), where the an are...
Consider the LTI system. Design a state-feedback control law of the form u(t)= -kx(t) such that...
Consider the LTI system. Design a state-feedback control law of
the form u(t)= -kx(t) such that x(t) goes to zero faster than
e^-t;
Problem 1: (15 points) Consider the LTI system 3 -1 (t)1 3 0 (t)2ut 0 0-1 Desig lim sate-feedback control law of the form u(t)ka(t) such that (t goes to zero faster than e i.e. Hint: fhink of where you want to place the eigenvalues of the closed-loop system.
PROBLEM 4.3. The one-dimensional wave equation is ə?u - 20u = 0, ət2 or where c>...
PROBLEM 4.3. The one-dimensional wave equation is ə?u - 20u = 0, ət2 or where c> 0 is constant. Show that any function of the form u(x, t) = f(x - ct)+9(2+ct), where f,g: RR are twice continuously differentiable, satisfies this equation. Explain why we call c the wave speed.
17. X A function u of two variables is defined implicitly by u(х, 1) — /(г — tu(x, t)), where fis a given bounded, differentiable function of one variable, f : R - R. 2019 School of Mathematics and Statistics, UNSW Sydney CHAPTER 1. FUNCTIONS OF SEVERAL VARIABLES 24 ди ди and Эх a) Calculate ди ди + u дt b) Show that = 0. дх ди c) Given that f(s) = 1 - tanh s, find the smallest positive...
Q.4 A position control system is shown in Figure Q4. Assume that K(s) = K, the plant 50 s(0.2s +1) transfer function is given by G(s) s02s y(t) r(t) Figure Q4: Feedback control system. (a) Design a lead compensator so that the closed-loop system satisfies the following specifications (i) The steady-state error to a unit-ramp input is less than 1/200 (ii) The unit-step response has an overshoot of less than 16% Ts +1 Hint: Compensator, Dc(s)=aTs+ 1, wm-T (18 marks)...
Problem 1: Let y()- r(t+2)-r(t+1)+r(t)-r(t-1)-u(t-1)-r(t-2)+r(t-3), where r(t) is the ramp function. a) plot y(t) b) plot y'() c) Plot y(2t-3) d) calculate the energy of y(t) note: r(t) = t for t 0 and 0 for t < 0 Problem 2: Let x(t)s u(t)-u(t-2) and y(t) = t[u(t)-u(t-1)] a) b) plot x(t) and y(t) evaluate graphically and plot z(t) = x(t) * y(t) Problem 3: An LTI system has the impulse response h(t) = 5e-tu(t)-16e-2tu(t) + 13e-3t u(t) The input...
Need help asap. will rate
Determine the system response y(t) for h(t)=u(t)tu(t-2) and x(t)=u(t). [Hint: use Laplace Transform multiplication: C[x(t) *h(t)) = X(s)H(s). y(t) = tu(t)-(t +2)u(t + 2) y(t) = tu(t) + (t - 2)u(t + 2) y(t) = tu(t) + (t - 2)u(t - 2) y(t) = tu(t)-(t - 2)u(t - 2) Question 8 (10 points) What is the Fourier Transform of f(t) = 55(t - 1)? ew 5e-sw 5e-510 را که م
In a one-dimensional system at time t-0, the wave function of a particle is given by the function xfor 0SxSL 0 elsewhere -A opl as sketched in the diagram, where A is a positive constant. If the position of the particle is measured at time t-0, what is the probability of finding it somewhere in the interval 0 sx S L22 Specify your answer as a fraction or as a decimal correct to 2 significant figures. probability
7.16C). Given the control system shown in Figure P7.16 where the plant transfer function G(o) is given by 2.0 design a PID controller for this system. Cis) R(s) 2.0 sis+ 1)(s+3) Plant PID controller FIGURE P7.16
7.16C). Given the control system shown in Figure P7.16 where the plant transfer function G(o) is given by 2.0 design a PID controller for this system. Cis) R(s) 2.0 sis+ 1)(s+3) Plant PID controller FIGURE P7.16
Question 5 An LTI system has an input signal given by x(t) = e-tu(t). The output of the system is measured and found out to be given by y(t) = e-tu (t) + e-t+1 u(t-1). Find the system transfer function, H(s) 4 marks a. b. Find the system impulse response, h(t) 4 marks c. Describe in words what is the functionality of this svstem (i.e., what does it do on the inputs sigmal to produce the output simal?). [2 marks]
(a) At time t 0, a one-dimensional bound system is in a state described by the normalized wave function V(r,0). The system has a set of orthonormal energy eigenfunctions (), 2(x),.. with corresponding eigenvalues E, E2, .... Write down the overlap rule for the probability of getting the energy E when the energy is measured at time t 0 (b) Suppose that a system is described by a normalized wave function of the form (,0) an(r), where the an are...
Consider the LTI system. Design a state-feedback control law of
the form u(t)= -kx(t) such that x(t) goes to zero faster than
e^-t;
Problem 1: (15 points) Consider the LTI system 3 -1 (t)1 3 0 (t)2ut 0 0-1 Desig lim sate-feedback control law of the form u(t)ka(t) such that (t goes to zero faster than e i.e. Hint: fhink of where you want to place the eigenvalues of the closed-loop system.
PROBLEM 4.3. The one-dimensional wave equation is ə?u - 20u = 0, ət2 or where c> 0 is constant. Show that any function of the form u(x, t) = f(x - ct)+9(2+ct), where f,g: RR are twice continuously differentiable, satisfies this equation. Explain why we call c the wave speed.
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 11 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 11 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 11 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 11 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 11 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 11 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 11 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 11 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 11 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 11 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 11 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 11 months ago