Tool and Viewer Reference

Characteristics

The Characteristics menu changes for each plot response type. The next sections describe the menu for each of the eight plot types.

Step Response

Step plots the model's response to a step input.

You can display the following information in the step response:

• Peak Response -- The largest deviation from the steady-state value of the step response
• Settling Time -- The time required for the step response to decline and stay at 5% of its final value
• Rise Time -- The time require for the step response to rise from 10% to 90% of its final value
• Steady-State -- The final value for the step response

Impulse Response

Impulse Response plots the model's response to an impulse.

The LTI Viewer can display the following information in the impulse response:

• Peak Response -- The maximum positive deviation from the steady-state value of the impulse response
• Settling Time -- The time required for the step response to decline and stay at 5% of its final value

Bode Diagram

Bode plots the open-loop Bode phase and magnitude diagrams for the model.

The LTI Viewer can display the following information in the Bode diagram:

• Peak Response -- The maximum value of the Bode magnitude plot over the specified region
• Stability Margins (Minimum Crossing) -- The minimum phase and gain margins. The gain margin is defined to the gain (in dB) when the phase first crosses -180°. The phase margin is the distance, in degrees, of the phase from -180° when the gain magnitude is 0 dB.
• Stability Margins (All Crossings) -- Display all stability margins

Bode Magnitude

Bode Magnitude plots the Bode magnitude diagram for the model.

The LTI Viewer can display the following information in the Bode magnitude diagram:

• Peak Response, which is the maximum value of the Bode magnitude in decibels (dB), over the specified range of the diagram.
• Stability (Minimum Crossing) -- The minimum gain margins. The gain margin is defined to the gain (in dB) when the phase first crosses -180°.
• Stability (All Crossings) -- Display all gain stability margins

Nyquist Diagrams

Nyquist plots the Nyquist diagram for the model.

The LTI Viewer can display the following types of information in the Nyquist diagram:

• Peak Response -- The maximum value of the Nyquist diagram over the specified region
• Stability (Minimum Crossing) -- The minimum gain and phase margins for the Nyquist diagram. The gain margin is the distance from the origin to the phase crossover of the Nyquist curve. The phase crossover is where the curve meets the real axis. The phase margin is the angle subtended by the real axis and the gain crossover on the circle of radius 1.
• Stability (All Crossings) -- Display all gain stability margins

Nichols Charts

Nichols plots the Nichols Chart for the model.

The LTI Viewer can display the following types of information in the Nichols chart:

• Peak Response -- The maximum value of the Nichols chart in the plotted region.
• Stability (Minimum Crossing) -- The minimum gain and phase margins for the Nichols chart.
• Stability (All Crossings) -- Display all gain stability margins

Singular Values

Singular Values plots the singular values for the model.

The LTI Viewer can display the Peak Response, which is the largest magnitude of the Singular Values curve over the plotted region.

Pole/Zero and I/O Pole/Zero

Pole/Zero plots the poles and zeros of the model with `x' for poles and `o' for zeros. I/O Pole/Zero plots the poles and zeros of I/O pairs.

There are no Characteristics available for pole-zero plots.

Systems

Grid