Observability
Trending Questions
Q. The state variable formulation of a system is given as
[˙x1˙x2]=[−200−1][x1x2]+[11]u, x1(0)=0, x2(0)=0 and y=[10][x1x2]
The system is
[˙x1˙x2]=[−200−1][x1x2]+[11]u, x1(0)=0, x2(0)=0 and y=[10][x1x2]
The system is
- Controllable but not observable
- Not controllable but observable
- Both controllable and observable
- Both not controllable and not observable
Q. Consider the state space system expressed by the signal flow diagram shown in the figure.
The corresponding system is
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1254646/original_csc10.png)
The corresponding system is
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1254646/original_csc10.png)
- always controllable
- always observable
- always stable
- always unstable
Q. In the signal flow diagram given in the figure, u1 and u2 are possible inputs whereas y1 and y2 are possible outputs. When would the SISO system derived from this diagram, be controllable and observable?
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1303580/original_misssing_dia_43.png)
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1303580/original_misssing_dia_43.png)
- When u1 is the only input and y1 is the only output.
- When u2 is the only input and y1 is the only output.
- When u1 is the only input and y2 is the only output.
- When u2 is the only input and y2 is the only output.
Q. The state equations of a system are given below:
˙x1=x1+x2+u
˙x2=−x2
y=x1
The system is said to be
˙x1=x1+x2+u
˙x2=−x2
y=x1
The system is said to be
- Controllable as we as observable
- Controllable but not observable
- Observable but not controllable
- Neither controllable nor observable
Q. Consider the system described by the following state variable equation
[˙X]=[013−4]X+[01]u
Y = [1 1]X
Which of the below given statements are correct regarding the above system?
[˙X]=[013−4]X+[01]u
Y = [1 1]X
Which of the below given statements are correct regarding the above system?
- One root of the characteristic equation of the given system lies on the left half of the s-plane.
- The given system is not observable.
- The given system is controllable.
- 1 and 2 only
- 2 and 3 only
- 1 and 3 only
- 1, 2 and 3
Q. The second order dynamic system
dXdt=PX+Qu
y = RX has the matrices, P, Q and R as follows:
P=[−110−3] Q=[01] R=[0 1]
The system has the following controllability and observability properties:
dXdt=PX+Qu
y = RX has the matrices, P, Q and R as follows:
P=[−110−3] Q=[01] R=[0 1]
The system has the following controllability and observability properties:
- Controllable and observable
- Not controllable and observable
- Controllable but not observable
- Not controllable and not observable
Q. A linear time-invarient system is described by the state variable model
[˙x1˙x2]=[−100−2][x1x2]+[01]u.Y=[12][x1x2]
[˙x1˙x2]=[−100−2][x1x2]+[01]u.Y=[12][x1x2]
- The system is completely controllable
- The system is not completely controllable
- The system is completely observable
- The system is not completely observable