Plot uncertainty in two variables of a SystemModel:

Plot the uncertainty in the output of an AffineStateSpaceModel:

Plot the uncertainty in the output of a NonlinearStateSpaceModel:

Plot the uncertainty in the output of a DiscreteInputOutputModel:

Use a SquareWave input:

Plot the uncertainty for a specific output:

Plot the uncertainty in a model using a custom number of simulations:

Plot the uncertainty for a specific output using a custom simulation interval:

Plot the uncertainty generated from giving a list of values for a parameter:

Plot the uncertainty generated from sampling an interval for a parameter value:

Plot the uncertainty generated from sampling a distribution for a parameter value:

Plot the uncertainty generated from sampling a geometric region for a parameter value:

Plot the uncertainty generated from sampling a Circle for two initial values:

Plot the uncertainty generated when an ARIMAProcess is used for an input:

Plot the uncertainty generated when several functions are used as input:

Use these profiles for the input flow rate in a continuous stirred tank reactor:

Plot the uncertainty generated when using a two-dimensional process for two inputs:

Plot the range between the minimum and maximum of the temporal data:

Plot custom quantiles of the temporal data:

Plot confidence bands for the temporal data with custom confidence levels:

Plot a custom slice function:

AxesLabel is set to None by default in the default PlotLayout:

Set custom labels:

Known slice functions use a customized Filling by default:

Set a custom filling:

The units of the plotted variables are used as the FrameLabel by default:

Set custom labels:

Set a custom simulation method with Method:

Set a custom plot label:

Obtain an Association with individual plots for each output:

Known slice functions use customized PlotLegends by default:

Set a custom plot legend:

Control progress reporting with ProgressReporting:

Set a custom sampling period when sampling a random process:

Set custom units with TargetUnits:

Plot the uncertainty in the angle and angular velocity of a simple damped pendulum when the initial conditions take values near equilibrium points:

When the system starts at rest at small angles, it evolves toward the stable ground position:

When the system starts near the unstable fully inverted position, it also evolves toward the ground position:

Plot a few randomly chosen trajectories:

The performance of a circuit depends heavily on its components and parameter tolerances. When the resistance of one of the components in this model of a speaker follows a truncated normal distribution, the variation in the current going through the speaker can be measurable:

External disturbances can also affect the performance of a circuit. For instance, the input voltage of the speaker can be affected by high-frequency signals:

Plot the uncertainty in the current of the speaker when affected by these high-frequency disturbances:

Validate a controlled ball and beam system by placing the ball away from the stable position:

The system model:

The farther away the ball starts from the equilibrium point, the more the system will struggle bringing it back to the stable position:

The control effort peaks at the start and then later a few more times to stop the ball from overshooting the stable position:

Controlled systems should also be validated against external disturbances. Stress the controlled ball and beam system with a white noise torque disturbance and plot the control effort as the system experiences various sampling periods of the noise:

Study the effect of a short-time tangential boost on a toy spacecraft in a circular orbit:

Boosts of large magnitude can lead to unbounded trajectories:

Bounded or unbounded trajectories can unfold if the magnitude of the boost follows a normal distribution. Plot the uncertainty in the distance to the center of force: