Compute measurements for a SystemModel:

Compute measurements for an AffineStateSpaceModel:

Compute measurements for a discrete multiple-input multiple-output StateSpaceModel:

Compute measurements for SystemModelSimulationData:

Compute the maximum overshoot for a single-output model:

Compute the settling time for a model:

Compute the maximum and minimum values for a model:

Compute the response for a single-output model:

Plot the response for a single-output model:

Specify a custom simulation interval:

Specify a custom set of inputs to turn on:

Specify a custom set of variables to measure:

Specify both a custom set of inputs to turn on and a custom set of variables to measure:

Set custom rise time thresholds:

Set a custom settling time threshold:

Set a custom delay time threshold:

Control progress reporting with ProgressReporting:

Compute measurements with the output units defined in the model:

Compute measurements with the time and output units defined in the model:

Compute measurements with custom time and output units:

Study how the settling time varies with the location of poles for a discrete-time system:

Compute the closed-loop system for several different designs based on pole locations:

Compute the setting times for the resulting systems:

Show the pole location and the corresponding settling time:

Or look at the actual step responses:

Study how overshoot varies with the location of poles for a discrete-time system:

Compute the closed-loop system for several different designs based on pole locations:

Compute the maximum overshoot for the resulting systems:

Show the pole location and the corresponding maximum overshoot:

Or look at the actual step responses:

Study how the settling time varies with the location of poles for a continuous-time system:

Compute the closed-loop system for several different designs based on pole locations:

Compute the setting times for the resulting systems:

Show the pole location and the corresponding settling time:

Or look at the actual step responses:

Study how the overshoot varies with the location of poles for a continuous-time system:

Compute the closed-loop system for several different designs based on pole locations:

Compute the maximum overshoot for the resulting systems:

Show the pole location and the corresponding maximum overshoot:

Or look at the actual step responses:

Study a controlled system of a ball placed at the top of a beam:

When passing an input torque, the controller responds by moving the ball to a position off-center that cancels it:

With all torques cancelled, the angle of the beam goes back to 0:

Compute the time it takes the system to settle:

Start with a model of a camera attached to the top of a moving vehicle:

Simulate the model with a vertical force perturbation:

Compute the extremes for the position of the camera and plot the full response:

Linearize the model around the equilibrium point:

Design a controller:

Generate a closed-loop system for the controlled model:

Simulate the closed-loop system with the same perturbation:

The camera oscillations are now 10 times smaller:

The magnitude of the control effort is within reason:

Start with a model of a quadcopter drone:

Design a controller that tracks the altitude of the drone:

Introduce an observer with EstimatorRegulator and produce the closed-loop system:

When a unit step input is provided as reference, the drone elevates in a few seconds to the desired height: