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Problem 3. Consider the system -2 01 Design feedback control u =-Kx such that the closed-loop pol...
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...
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.
Due Date: April 20, 2 Problem 2: Consider a unity-feedback control system with the following open-loop...
Due Date: April 20, 2 Problem 2: Consider a unity-feedback control system with the following open-loop transfer function: K G(s)H(s) = s(s2 + 4s + 8) 1. Sketch the root-locus plot. 2. IfK 2, where are the closed-loop poles located? 3. If x = 0.5, where are the closed-loop poles located?
3. Consider the system It is desired to design an output feedback controller such that all closed-loop eigenvalues sati...
3. Consider the system It is desired to design an output feedback controller such that all closed-loop eigenvalues satisfy R, [A S-3 and the output y is to track a constant reference r. (a) Design the controller using the feedback compensator method. (b) Design the controller using the integral-control method.
3. Consider the system It is desired to design an output feedback controller such that all closed-loop eigenvalues satisfy R, [A S-3 and the output y is to track a...
Problem 2: Output-feedback stabilization Consider the following system 0 -8 3-3 4 [2-92]z y = a)...
Problem 2: Output-feedback stabilization Consider the following system 0 -8 3-3 4 [2-92]z y = a) Verify that the system is observable and controllable. Then, design an output-feedback controller (based on a full-order observer) by placing the poles of the closed loop system at -1 j, -3, 12 ±j2. and-30 (mention which desired poles you select for your observer design and why).
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...
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)...
Rt)+ e(t) y(t) K1 S +4 Figure 3: A closed-loop control system with an inner feedback loop. Comput...
rt)+ e(t) y(t) K1 S +4 Figure 3: A closed-loop control system with an inner feedback loop. Compute the closed-loop transfer function Gal (s) -Y(s)/R(s) for the system shown in Figure 3
rt)+ e(t) y(t) K1 S +4 Figure 3: A closed-loop control system with an inner feedback loop. Compute the closed-loop transfer function Gal (s) -Y(s)/R(s) for the system shown in Figure 3
Problem 2 We have seen in class an algorithm for the design of state feedback controller using po...
Problem 2 We have seen in class an algorithm for the design of state feedback controller using pole placement for multi-input systems. Consider the system-A Bu with 0 0 4 1. Using the algorithm seen in class, design a state feedback control K, 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...
7. For a negative feedback control system with unit feedback gain, its open-loop 100 transfer function...
7. For a negative feedback control system with unit feedback gain, its open-loop 100 transfer function is G (s) Design a PID controller, so that the open s(10s) corresponding closed-loop poles are -2+jl and -5. (10 scores)
7. For a negative feedback control system with unit feedback gain, its open-loop 100 transfer function is G (s) Design a PID controller, so that the open s(10s) corresponding closed-loop poles are -2+jl and -5. (10 scores)
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...
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.
Due Date: April 20, 2 Problem 2: Consider a unity-feedback control system with the following open-loop transfer function: K G(s)H(s) = s(s2 + 4s + 8) 1. Sketch the root-locus plot. 2. IfK 2, where are the closed-loop poles located? 3. If x = 0.5, where are the closed-loop poles located?
3. Consider the system It is desired to design an output feedback controller such that all closed-loop eigenvalues satisfy R, [A S-3 and the output y is to track a constant reference r. (a) Design the controller using the feedback compensator method. (b) Design the controller using the integral-control method.
3. Consider the system It is desired to design an output feedback controller such that all closed-loop eigenvalues satisfy R, [A S-3 and the output y is to track a...
Problem 2: Output-feedback stabilization Consider the following system 0 -8 3-3 4 [2-92]z y = a) Verify that the system is observable and controllable. Then, design an output-feedback controller (based on a full-order observer) by placing the poles of the closed loop system at -1 j, -3, 12 ±j2. and-30 (mention which desired poles you select for your observer design and why).
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...
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)...
rt)+ e(t) y(t) K1 S +4 Figure 3: A closed-loop control system with an inner feedback loop. Compute the closed-loop transfer function Gal (s) -Y(s)/R(s) for the system shown in Figure 3
rt)+ e(t) y(t) K1 S +4 Figure 3: A closed-loop control system with an inner feedback loop. Compute the closed-loop transfer function Gal (s) -Y(s)/R(s) for the system shown in Figure 3
Problem 2 We have seen in class an algorithm for the design of state feedback controller using pole placement for multi-input systems. Consider the system-A Bu with 0 0 4 1. Using the algorithm seen in class, design a state feedback control K, 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...
7. For a negative feedback control system with unit feedback gain, its open-loop 100 transfer function is G (s) Design a PID controller, so that the open s(10s) corresponding closed-loop poles are -2+jl and -5. (10 scores)
7. For a negative feedback control system with unit feedback gain, its open-loop 100 transfer function is G (s) Design a PID controller, so that the open s(10s) corresponding closed-loop poles are -2+jl and -5. (10 scores)
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