Homework Answers
Add Answer to:
Problem 2 We have seen in class an algorithm for the design of state feedback controller using po...
Problem 2 design of state feedback controller using pole placement for multi-input systems. Consi...
Problem 2 design of state feedback controller using pole placement for multi-input systems. Consider the system-Ar-Bu with 1. design a state feedback control u-Kr, or the gain K, to place the closed loop poles at -2,-3,-4 2. Exploiting the structure of A and B, find a different feedback gain that place the poles in the same location. This steps shows that there are several ways to design K; by inspection for instance. 3. Use the Matlab command 'place' to generate...
Design a state feedback control u=-Kx, Find K, that could place the closed loop poles at-21 -3,-4...
the place poles are -2 ; -3 ; -4
Design a state feedback control u=-Kx, Find K, that could place the closed loop poles at-21 -3,-4 Given that: Consider the systemi Ar Bu with A-10-201. B-10 1 2) Exploiting the structure of A and B, find a different feedback gain that place the poles in the same location. This steps shows that there are several ways to design K; by inspection for instance.
Design a state feedback control u=-Kx, Find...
D9.2 Design a state-feedback controller for the following systems. Determine the controller gains, open-loop transfer functions,...
D9.2 Design a state-feedback controller for the following systems. Determine the controller gains, open-loop transfer functions, and closed-loop transfer functions Use the open-loop transfer functions to obtain root locus, Bode plots, and gain and phase margins LU u=-kx + r Closed-loop poles at s --1tj 2
find the following: a)state transition matrix? b)output as function of time? c)design a state feedback controller to...
find the following:
a)state transition matrix?
b)output as function of time?
c)design a state feedback controller to place closed loop at (-3)
and (-5)
Question (: (10 hO Considering the following system, 01x + 0 t<0 tt t20 Where x(0)-L1] , u(t)-(% ,u(t) a) Find the state transition matrix. (3 marks) b) Find the output as a function of time. (3 marks) c) Design a state feedback controller to place the closed loop poles at (-3) and (-5). (4 marks)...
Consider a unity feedback control architecture where P(s) = 1/s^2 and C(s) = K * ((s + z)/(s + p)...
Consider a unity feedback control architecture where P(s) =
1/s^2 and C(s) = K * ((s + z)/(s + p)) . It is desired to design
the controller to place the dominant closed-loop poles at sd = −2 ±
2j. Fix the pole of the compensator at −20 rad/sec and use root
locus techniques to find values of z and K to place the closed–loop
poles at sd .
Problem 4 (placing a zero) Consider a unity feedback control architecture...
a. Design a state feedback controller with integral control to yield a 10% overshoot and a...
a. Design a state feedback controller with integral control to yield a 10% overshoot and a settling time of 0.5 sec. (tip: place the third pole to have the same real part as the two dominant, complex poles.) b. Assume that the system is initially relaxed at t=0. With the controller design in (c), what is the steady-state response y(t) excited by the unit step reference signal r(t)=1, for .
Q.2. Using the multi-step procedure discussed in the class, plot the root loci for the unity-feedback...
Q.2. Using the multi-step procedure discussed in the class, plot the root loci for the unity-feedback system whose feed-forward transfer function is: s(s2+4s+5) Find the location of closed loop poles at K 2 (10 Points)
Problem 5: Suppose that you are to design a unity gain feedback controller for a first order plant. The plant...
Problem 5: Suppose that you are to design a unity gain feedback controller for a first order plant. The plant and controller respectively take the form ,s+ p where K> 0, p. z are parameters to be specified. (a) Using root-locus methods, specify some p and z for which it is possible to make the closed-loop system strictly stable. Include a sketch of the closed-loop root locus, as well as the corresponding range of gains K for which the system...
- 4. Full State Feedback and Observer Design Consider the plant s + 1 G(s)- (s + a(s +8(s +10) where a-1. a) Find a...
- 4. Full State Feedback and Observer Design Consider the plant s + 1 G(s)- (s + a(s +8(s +10) where a-1. a) Find a convenient state space representation of model G(s) . b) Using place design a controller for the system that puts the poles at -1 and-2 +-2 . c) Using place design an observer with poles at-10,-11 and-12 d) Simulate the states with the state estimates overlaid e)Find a state space representation of the closed loop system...
a-represent system in state space form? b-find output response y(t? c-design a state feedback gain controller? 3- A dyn...
a-represent system in state space form?
b-find output response y(t?
c-design a state feedback gain controller?
3- A dynamic system is described by the following set of coupled linear ordinary differential equations: x1 + 2x1-4x2-5u x1-x2 + 4x1 + x2 = 5u EDQMS 2/3 Page 1 of 2 a. Represent the system in state-space form. b. For u(t) =1 and initial condition state vector x(0) = LII find the outp (10 marks) response y(t). c. Design a state feedback gain...
Problem 2 design of state feedback controller using pole placement for multi-input systems. Consider the system-Ar-Bu with 1. design a state feedback control u-Kr, or the gain K, to place the closed loop poles at -2,-3,-4 2. Exploiting the structure of A and B, find a different feedback gain that place the poles in the same location. This steps shows that there are several ways to design K; by inspection for instance. 3. Use the Matlab command 'place' to generate...
the place poles are -2 ; -3 ; -4
Design a state feedback control u=-Kx, Find K, that could place the closed loop poles at-21 -3,-4 Given that: Consider the systemi Ar Bu with A-10-201. B-10 1 2) Exploiting the structure of A and B, find a different feedback gain that place the poles in the same location. This steps shows that there are several ways to design K; by inspection for instance.
Design a state feedback control u=-Kx, Find...
D9.2 Design a state-feedback controller for the following systems. Determine the controller gains, open-loop transfer functions, and closed-loop transfer functions Use the open-loop transfer functions to obtain root locus, Bode plots, and gain and phase margins LU u=-kx + r Closed-loop poles at s --1tj 2
find the following:
a)state transition matrix?
b)output as function of time?
c)design a state feedback controller to place closed loop at (-3)
and (-5)
Question (: (10 hO Considering the following system, 01x + 0 t<0 tt t20 Where x(0)-L1] , u(t)-(% ,u(t) a) Find the state transition matrix. (3 marks) b) Find the output as a function of time. (3 marks) c) Design a state feedback controller to place the closed loop poles at (-3) and (-5). (4 marks)...
Consider a unity feedback control architecture where P(s) =
1/s^2 and C(s) = K * ((s + z)/(s + p)) . It is desired to design
the controller to place the dominant closed-loop poles at sd = −2 ±
2j. Fix the pole of the compensator at −20 rad/sec and use root
locus techniques to find values of z and K to place the closed–loop
poles at sd .
Problem 4 (placing a zero) Consider a unity feedback control architecture...
Q.2. Using the multi-step procedure discussed in the class, plot the root loci for the unity-feedback system whose feed-forward transfer function is: s(s2+4s+5) Find the location of closed loop poles at K 2 (10 Points)
Problem 5: Suppose that you are to design a unity gain feedback controller for a first order plant. The plant and controller respectively take the form ,s+ p where K> 0, p. z are parameters to be specified. (a) Using root-locus methods, specify some p and z for which it is possible to make the closed-loop system strictly stable. Include a sketch of the closed-loop root locus, as well as the corresponding range of gains K for which the system...
- 4. Full State Feedback and Observer Design Consider the plant s + 1 G(s)- (s + a(s +8(s +10) where a-1. a) Find a convenient state space representation of model G(s) . b) Using place design a controller for the system that puts the poles at -1 and-2 +-2 . c) Using place design an observer with poles at-10,-11 and-12 d) Simulate the states with the state estimates overlaid e)Find a state space representation of the closed loop system...
a-represent system in state space form?
b-find output response y(t?
c-design a state feedback gain controller?
3- A dynamic system is described by the following set of coupled linear ordinary differential equations: x1 + 2x1-4x2-5u x1-x2 + 4x1 + x2 = 5u EDQMS 2/3 Page 1 of 2 a. Represent the system in state-space form. b. For u(t) =1 and initial condition state vector x(0) = LII find the outp (10 marks) response y(t). c. Design a state feedback gain...
Most questions answered within 3 hours.
-
If you’re standing at the bottom of a hill and asked to evaluate
it while being...
asked 32 minutes ago -
1. Which region has taken the lead in the world of
e-waste handling?
a) European Union...
asked 25 minutes ago -
A 8.15- g bullet from a 9-mm pistol has a velocity of 366.0 m/s.
It strikes...
asked 1 hour ago -
The outstanding bonds of Alpha Extracts have a yield to maturity
of 7.4 percent and a...
asked 1 hour ago -
The Problem: The Case of the Harmonizing Vacations
Your CEO is exploring partnering with a European...
asked 3 hours ago -
A chemical equation is balanced by adding coefficients in front
of some formulas so that the...
asked 3 hours ago -
From the literature (reference your sources): What are the
lattice parameters of calcite and aragonite? Why...
asked 3 hours ago -
Your system is rejecting the question am asking which is
preceded by a case study. It...
asked 4 hours ago -
3. On January 2, 2000, Larry creates a trust with himself as
trustee. Larry as trustee...
asked 3 hours ago -
A member of the volleyball team spikes the ball. During this
process, she changes the velocity...
asked 4 hours ago -
Are adult gamers less likely to use a gaming console (Xbox,
PlayStation, Wii, etc...) than teen...
asked 4 hours ago -
The University of
Texas recently reported that 43% of college students aged 18-24
would spend their...
asked 5 hours ago