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
First column elements of the Routh’s tabulation are 3, 5, -3/4, ½, 2. It means that there are:
Are two roots in the right half of the s-plane
Benefits of feedback:
Affected by parameter variations
A signal flow graph is the graphical representation of the relationships between the variables of set linear algebraic equations.
True
Which of the following is not the feature of modern control system?
No oscillation
The minimum number of states require to describe the two degree differential equation
2
Assertion (A): Feedback control system offer more accurate control over open-loop systems.
Reason (R): The feedback path establishes a link for input and output comparison and subsequent error correction
Both A and R are true and R is correct explanation of A
Feedback always increases the gain?
False
A node having only outgoing branches.
Input node
The output of the feedback control system must be a function of:
Input and feedback signal
The transfer function Y(s)/U(s) of a system described by the state equations dx/dt=-2x+2u and y(t) = 0.5x is:
1/(s+2)
The Routh-Hurwitz criterion cannot be applied when the characteristic equation of the system contains any coefficients which is :
Negative real, both exponential and sinusoidal function of s
Effect of feedback on sensitivity is minimum in:
Closed loop control system
Use mason’s gain formula to find the transfer function of the given signal flow graph:
abdeg/1-(bc+ef)+bcef
The principle of homogeneity and superposition are applied to:
Linear time variant systems
A linear time invariant single input single output system has the state space model given by dx/dt=Fx+Gu, y=Hz, where.
0.5
The following characteristic equation results in stable operation of the feedback system s3+4s2+10s+11=0
True
Feedback control systems are:
Less sensitive to forward path parameter changes that to feedback path parameter changes
Loop which do not possess any common node are said to be ___________ loops
Non touching loops
In continuous data systems:
Data is necessarily a continuous function of time at all points in the system
A transfer function of control system does not have pole-zero cancellation. Which one of the following statements is true?
System is completely controllable and observable
The given characteristic equation s4+s3+2s2+2s+3=0 has:
Two root in the RHS of s-plane
Feedback can always reduce the effects of noise and disturbance on system performance?
True
Signal flow graphs:
They apply to linear systems
. A linear system at rest is subject to an input signal r(t)=1-e-t. The response of the system for t>0 is given by c(t)=1-e-2t. The transfer function of the system is:
2(s+1)/(s+2)