Quiz #1, #2 - EE6301 Feedback and Control Systems

What is the definition of a pole in the context of transfer functions?

• A point where the system's output is infinite

• A point where the system's output is zero

• A point where the system is stable

• A point where the input is zero

In a pole-zero plot, what does a zero represent?

• A frequency at which the output is minimized

• A frequency at which the output is maximized

• A point where the system's output becomes infinite

• A point where the input is zero

Which of the following statements about Linear Time Invariant (LTI) systems is true?

• They are only linear but not time-invariant

• Their output depends on when an input was applied

• They can be described by an impulse response function

• They do not have memory of past states

What is the primary purpose of using Laplace transforms in system modeling?

• To simplify differential equations into algebraic equations

• To visualize system behavior in time domain

• To increase complexity in analysis

• To represent non-linear systems accurately

The transfer function of a system is defined as:

• The ratio of input to output in the time domain

• The ratio of Laplace transform of output to Laplace transform of input with zero initial conditions

• The convolution of input and output signals

• The derivative of the output signal with respect to time

What does the term 'time-invariant' mean in LTI systems?

• The system's response changes over time

• The system's response remains constant for any given input over time

• The system cannot predict future outputs based on past inputs

• The system's behavior varies with different inputs at different times

In control systems, what does a transfer function model help determine?

• The physical layout of components in a circuit

• The relationship between input and output signals in the frequency domain

• The electrical current flowing through a resistor

• The mechanical properties of materials used in construction

Which law is primarily used for modeling electrical networks in control systems?

• Newton’s laws of motion

• Ohm’s law and Kirchhoff’s laws

• Bernoulli’s principle

• Faraday’s law of electromagnetic induction

What is an impulse response function?

• The response of a system to a constant input signal

• The response of a system to a unit step input

• The output when an impulse signal is applied to an LTI system

• The integral of the output signal over time

When converting differential equations to transfer functions, what assumption is typically made?

• All initial conditions are set to one

• All initial conditions are set to zero

• Only steady-state conditions are considered

• Non-linear effects are included