Homework Answers
Add Answer to:
Ghven the System descalbe b ne. State model D Detes mime the state Peedbeck contovles to...
Consider a two-tank system, where x, is the level of the first tank, and x2 is the level of the second tank. This dynamic system is described by the -xj-x2. The output to be Q4. following model: dt c...
Consider a two-tank system, where x, is the level of the first tank, and x2 is the level of the second tank. This dynamic system is described by the -xj-x2. The output to be Q4. following model: dt controlled is the level of the second tank. (a)Write down the state-space model in matrix form. Verify the 20% (b)Design a state feedback controller so that the closed-loop poles are 25% controllability of the system located at -3 and -4 (c) The...
A system G has its model in state-space as: C [2 0] 1. Assuming a unity...
A system G has its model in state-space as: C [2 0] 1. Assuming a unity feedback is constructed for G, find the phase margin of this feedback system 2. Assuming a state-feedback is applied to G, it is possible to find a state feedback gain K such that the closed-loop system carries poles at -1 and -2? If yes, what is K?
The state variable model of the two tanks process is given by the equations r1 10 01 r1o 2 0-1 lu Tank 1 Tank 2 Explain the differential equations for the tanks Draw the block diagram for the system...
The state variable model of the two tanks process is given by the equations r1 10 01 r1o 2 0-1 lu Tank 1 Tank 2 Explain the differential equations for the tanks Draw the block diagram for the system model * .Modify the block diagram to realize the system model by first order transfer functions: 1+Ts Determine the controllability and observability of the system model Design a full-state feedback with the eigen values λ-λ2--2 of the closed loop system Design...
A process has the state model described by: a. Is the system fully state controllable or...
A process has the state model described by:
a. Is the system fully state controllable or not? Explain why or
why not.
b. Is the system fully observable or not? Explain why or why
not.
c. Design an observer with damping ratio , and the natural
frequency rads/sec n
d.Using the Luenberger gain matrix determined in Part c,
determine the error
response state model.
Problem 1: A process has the state model described by '11(0 a. Is the system fully...
Consider the following transfer function of a linear control system Determine the state feedba...
Consider the following transfer function of a linear control
system
Determine the state feedback gain matrix that places the closed
system at s=-32, -3.234 ± j3.3.
Design a full order observer which produces a set of desired
closed loop poles at s=-16, -16.15±j16.5
Assume X1 is measurable, design a reduced order observer with
desired closed loop poles at -16.15±j16.5
We were unable to transcribe this image1 Y(s) U(s) (s+1)(s2+0.7s+2) Consider the following transfer function of a linear control system (a)...
Consider the following transfer function of a linear control system 1- Determine the state feedb...
Consider the following transfer function of a linear control
system
1- Determine the state feedback gain matrix that places the
closed system at s=-32, -3.234 ± j3.3.
2- Design a full order observer which produces a set of desired
closed loop poles at s=-16, -16.15±j16.5
3-Assume X1 is measurable, design a reduced order observer with
desired closed loop poles at -16.15±j16.5
We were unable to transcribe this image1 Y(s) U(s) (s+1)(s2+0.7s+2) Consider the following transfer function of a linear control...
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...
- 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...
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)...
Or (B) The following is the electrical equivalent model of a fluid system. Find the state...
Or (B) The following is the electrical equivalent model of a fluid system. Find the state equations and the matrices A and B of the model X' AX + BU. Extra Credit for (B): Find the matrices C and D in the output equation Y = CX + DU when the output is just Pout indicated in the figure. f- てw OUT
Consider a two-tank system, where x, is the level of the first tank, and x2 is the level of the second tank. This dynamic system is described by the -xj-x2. The output to be Q4. following model: dt controlled is the level of the second tank. (a)Write down the state-space model in matrix form. Verify the 20% (b)Design a state feedback controller so that the closed-loop poles are 25% controllability of the system located at -3 and -4 (c) The...
A system G has its model in state-space as: C [2 0] 1. Assuming a unity feedback is constructed for G, find the phase margin of this feedback system 2. Assuming a state-feedback is applied to G, it is possible to find a state feedback gain K such that the closed-loop system carries poles at -1 and -2? If yes, what is K?
The state variable model of the two tanks process is given by the equations r1 10 01 r1o 2 0-1 lu Tank 1 Tank 2 Explain the differential equations for the tanks Draw the block diagram for the system model * .Modify the block diagram to realize the system model by first order transfer functions: 1+Ts Determine the controllability and observability of the system model Design a full-state feedback with the eigen values λ-λ2--2 of the closed loop system Design...
A process has the state model described by:
a. Is the system fully state controllable or not? Explain why or
why not.
b. Is the system fully observable or not? Explain why or why
not.
c. Design an observer with damping ratio , and the natural
frequency rads/sec n
d.Using the Luenberger gain matrix determined in Part c,
determine the error
response state model.
Problem 1: A process has the state model described by '11(0 a. Is the system fully...
Consider the following transfer function of a linear control
system
Determine the state feedback gain matrix that places the closed
system at s=-32, -3.234 ± j3.3.
Design a full order observer which produces a set of desired
closed loop poles at s=-16, -16.15±j16.5
Assume X1 is measurable, design a reduced order observer with
desired closed loop poles at -16.15±j16.5
We were unable to transcribe this image1 Y(s) U(s) (s+1)(s2+0.7s+2) Consider the following transfer function of a linear control system (a)...
Consider the following transfer function of a linear control
system
1- Determine the state feedback gain matrix that places the
closed system at s=-32, -3.234 ± j3.3.
2- Design a full order observer which produces a set of desired
closed loop poles at s=-16, -16.15±j16.5
3-Assume X1 is measurable, design a reduced order observer with
desired closed loop poles at -16.15±j16.5
We were unable to transcribe this image1 Y(s) U(s) (s+1)(s2+0.7s+2) Consider the following transfer function of a linear control...
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...
- 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...
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)...
Or (B) The following is the electrical equivalent model of a fluid system. Find the state equations and the matrices A and B of the model X' AX + BU. Extra Credit for (B): Find the matrices C and D in the output equation Y = CX + DU when the output is just Pout indicated in the figure. f- てw OUT
Most questions answered within 3 hours.
-
Oxidative phosphorylation is achieved through chemiosmotic
coupling, which turns chemical energy into osmotic potential energy
that...
asked 1 hour ago -
Hollywood Shoes would like to maintain their cash account at a
minimum level of $64,000, but...
asked 1 hour ago -
Proteins CtrA-P, DnaA, and GcrA behave similarly to what
molecule in the Eukaryotic Cell Cycle?
asked 1 hour ago -
TRUE OR FALSE
In case of a competitive tender procedure, in the request for
quotation, the...
asked 2 hours ago -
I am a little behind please provide some explanation, will
provide thumbs up.
This question considers...
asked 2 hours ago -
Let say the utility function as U(X,Y) = lnX + Y. Show that the
marginal rate...
asked 2 hours ago -
A current of I=8.0A is flowing in a typical extension cord of
length L=3.00m. The cord...
asked 2 hours ago -
1. When balancing the equation H2SO4 (aq) + NaOH (aq) →
Na2SO4(aq) + H2O(aq), would you...
asked 2 hours ago -
Provide a definition of “classification hierarchy” and
illustrate your definition with an example of how and...
asked 2 hours ago -
1. Describe the four main green solvents. Provide one example of
the use of each solvent....
asked 2 hours ago -
International ethics focus on:
1) exploitation of labor
2)corruption
3) environmental impact
4) none of the...
asked 2 hours ago -
Costing Models You work for XYZ trucking and your boss has asked
you to figure out...
asked 2 hours ago