Ch. 4 Time Response

Front 1

Name the performance specification for first-order systems.

Back 1

Time constant

Front 2

What does the performance specification for a first-order system tell us?

Back 2

The time for the step response to reach 67% of its final value

Front 3

In a system with an input and an output, what poles generate the steady-state response?

Back 3

The input pole

Front 4

In a system with an input and an output, what poles generate the transient response?

Back 4

The system poles

Front 5

The imaginary part of a pole generates what part of a response?

Back 5

The radian frequency of a sinusoidal response

Front 6

The real part of a pole generates what part of a response?

Back 6

The time constant of an exponential response

Front 7

What is the difference between the natural frequency and the damped frequency of oscillation?

Back 7

Natural frequency is the frequency of the system with all damping removed; the damped frequency of
oscillation is the frequency of oscillation with damping in the system.

Front 8

If a pole is moved with a constant imaginary part, what will the responses have in common?

Back 8

Their damped frequency of oscillation will be the same.

Front 9

If a pole is moved with a constant real part, what will the responses have in common?

Back 9

They will all exist under the same exponential decay envelop.

Front 10

If a pole is moved along a radial line extending from the origin, what will the responses have in common?

Back 10

They will all have the same percent overshoot and the same shape although differently scaled in time.

Front 11

List five specifications for a second-order underdamped system.

Back 11

. ζ, ωn, TP, %OS, Ts

Front 12

For the list of specifications for a second-order underdamped system. how many specifications completely determine the response?

Back 12

Only two since a second-order system is completely defined by two component parameters

Front 13

What pole locations characterize (1) the underdamped system, (2) the overdamped system, and (3) the critically damped system?

Back 13

1) Complex, (2) Real, (3) Multiple real

Front 14

Name two conditions under which the response generated by a pole can be neglected.

Back 14

Pole's real part is large compared to the dominant poles, (2) Pole is near a zero

Front 15

How can you justify pole-zero cancellation?

Back 15

If the residue at that pole is much smaller than the residues at other poles

Front 16

Does the solution of the state equation yield the output response of the system? Explain.

Back 16

No; one must then use the output equation

Front 17

What is the relationship between (sI-A), which appeared during the Laplace transformation solution of the state equations, and the state-transition matrix, which appeared during the classical solution of the state equation?

Back 17

The Laplace transform of the state transition matrix is
(sI-A)-1

Front 18

Name a major advantage of using time domain techniques for the solution of the response.

Back 18

Computer simulation

Front 19

Name a major advantage of using frequency domain techniques for the solution of the response.

Back 19

Pole-zero concepts give one an intuitive feel for the problem.

Front 20

What three pieces of information must be given in order to solve for the output response of a system using state-space techniques?

Back 20

State equations, output equations, and initial value for the state-vector

Front 21

How can the poles for a system be found form the state equations?

Back 21

Det(sI-A) = 0