Q.1.
State variable analysis has several advantages overall transfer function as:
- a) It is applicable for linear and non-linear and variant and time-invariant system
- b) Analysis of MIMO system
- c) It takes initial conditions of the system into account
- d) All of the mentioned
Q.2.
The minimum number of states require to describe the two degree differential equation:
- a) 1
- b) 2
- c) 3
- d) 4
Q.3.
For a system with the transfer function H(s) = 3(s-2)/s3+4s2-2s+1 , the matrix A in the state space form is equal to:
- a)
Q.4.
1 & -2 & 4
- c)
Q.5.
The transfer function Y(s)/U(s) of a system described by the state equations dx/dt=-2x+ and y(t) = 0.is:
- a) 0.5/(s-2)
- b) 1/(s-2)
- c) 0.5/(s+2)
- d) 1/(s+2)
Q.6.
A linear time invariant single input single output system has the state space model given by dx/dt=Fx+Gu, y=Hz, where . Here, x is the state vector, u is the input, and y is the output. The damping ratio of the system is:
- a) 0.25
- b) 0.5
- c) 1
- d) 2
Q.7.
Given the matrix
- a) 1,2,3
- b) 1
- c) -1,-2,-3
- d) 0
Q.8.
A transfer function of control system does not have pole-zero cancellation. Which one of the following statements is true?
- a) System is neither controllable nor observable
- b) System is completely controllable and observable
- c) System is observable but uncontrollable
- d) System is controllable but unobservable
Q.9.
The analysis of multiple input multiple output is conveniently studied by;
- a) State space analysis
- b) Root locus approach
- c) Characteristic equation approach
- d) Nicholas chart
Q.10.
The state equation in the phase canonical form can be obtained from the transfer function by:
- a) Cascaded decomposition
- b) Direct decomposition
- c) Inverse decomposition
- d) Parallel decomposition