Step

Generates a step signal that transitions from offset to height+offset at the specified time.

The step component produces an output y that changes from the offset value to height+offset when the simulation time reaches start_time. This provides a way to model abrupt changes in signals for testing system responses. The behavior is defined by the equation:

$$y=\{\begin{array}{ll}\text{height}+\text{offset}& \text{if time}\ge \text{start\_time}\\ \text{offset}& \text{otherwise}\end{array}$$

This component extends from Signal

Usage

BlockComponents.Step(start_time=0.0, offset=0.0, height)

Parameters:

Name	Description	Units	Default value
start_time	Time at which the signal starts changing from its offset value	s	0
offset	Constant value added to the signal output	–	0
height	Magnitude of the step change	–

Connectors

• y - This connector represents a real signal as an output from a component (RealOutput)

Behavior

$$\begin{array}{rl}y\left(t\right)& =ifelse(t\ge \mathtt{start}\mathtt{\_}\mathtt{time},\mathtt{height}+\mathtt{offset},\mathtt{offset})\end{array}$$

Source

# Generates a step signal that transitions from `offset` to `height+offset` at the specified time.
#
# The step component produces an output y that changes from the `offset` value to `height+offset`
# when the simulation time reaches `start_time`. This provides a way to model abrupt changes
# in signals for testing system responses. The behavior is defined by the equation:
#
# ```math
# y = \begin{cases}
# \text{height} + \text{offset} & \text{if time} \geq \text{start\_time} \\
# \text{offset} & \text{otherwise}
# \end{cases}
# ```
component Step
  extends Signal
  # Magnitude of the step change
  parameter height::Real
relations
  y = ifelse(time >= start_time, height + offset, offset)
metadata {
  "Dyad": {
    "labels": [{"label": "$(instance)", "x": 500, "y": 1100, "rot": 0}],
    "icons": {"default": "dyad://BlockComponents/Step.svg"}
  }
}
end

Flattened Source

# Generates a step signal that transitions from `offset` to `height+offset` at the specified time.
#
# The step component produces an output y that changes from the `offset` value to `height+offset`
# when the simulation time reaches `start_time`. This provides a way to model abrupt changes
# in signals for testing system responses. The behavior is defined by the equation:
#
# ```math
# y = \begin{cases}
# \text{height} + \text{offset} & \text{if time} \geq \text{start\_time} \\
# \text{offset} & \text{otherwise}
# \end{cases}
# ```
component Step
  # Real-valued output connector for the component
  y = RealOutput() {
    "Dyad": {
      "placement": {
        "icon": {"iconName": "default", "x1": 1000, "y1": 450, "x2": 1100, "y2": 550, "rot": 0},
        "diagram": {"iconName": "default", "x1": 1000, "y1": 450, "x2": 1100, "y2": 550, "rot": 0}
      }
    }
  }
  # Time at which the signal starts changing from its offset value
  parameter start_time::Time = 0.0
  # Constant value added to the signal output
  parameter offset::Real = 0.0
  # Magnitude of the step change
  parameter height::Real
relations
  y = ifelse(time >= start_time, height + offset, offset)
metadata {
  "Dyad": {
    "labels": [{"label": "$(instance)", "x": 500, "y": 1100, "rot": 0}],
    "icons": {"default": "dyad://BlockComponents/Step.svg"}
  }
}
end

Test Cases

No test cases defined.

Related

• Examples

• Experiments

• Analyses

• Tests

  • LimPIDTest

  • StepTest