FirstOrderTest

Test fixture for evaluating first-order system response to constant input.

This component connects a constant value (1.0) to a first-order system with gain 1.2 and time constant 0.1, allowing observation of the step response. The first-order system is expected to reach its steady state value of 1.2 after approximately 5 time constants (0.5 seconds). The metadata includes a test case that verifies this expected behavior after 10 seconds of simulation.

Usage

FirstOrderTest()

Behavior

$$\begin{array}{rl}\mathtt{c}\mathtt{.}\mathtt{y}\left(t\right)& =\mathtt{pt}\mathtt{1.}\mathtt{u}\left(t\right)\\ \mathtt{c}\mathtt{.}\mathtt{y}\left(t\right)& =\mathtt{c}\mathtt{.}\mathtt{k}\\ \frac{\mathrm{d}\mathtt{pt}\mathtt{1.}\mathtt{x}\left(t\right)}{\mathrm{d}t}& =\frac{-\mathtt{pt}\mathtt{1.}\mathtt{x}\left(t\right)+\mathtt{pt}\mathtt{1.}\mathtt{k}\mathtt{pt}\mathtt{1.}\mathtt{u}\left(t\right)}{\mathtt{pt}\mathtt{1.}\mathtt{T}}\\ \mathtt{pt}\mathtt{1.}\mathtt{y}\left(t\right)& =\mathtt{pt}\mathtt{1.}\mathtt{x}\left(t\right)\end{array}$$

Source

# Test fixture for evaluating first-order system response to constant input.
#
# This component connects a constant value (1.0) to a first-order system with gain 1.2 and
# time constant 0.1, allowing observation of the step response. The first-order system is
# expected to reach its steady state value of 1.2 after approximately 5 time constants (0.5 seconds).
# The metadata includes a test case that verifies this expected behavior after 10 seconds of simulation.
test component FirstOrderTest
  # Constant block that provides a unit step input with value k=1
  c = Constant(k=1)
  # First-order system with gain 1.2 and time constant 0.1 seconds
  pt1 = FirstOrder(k=1.2, T=0.1)
relations
  # Connects the constant output to the first-order system input
  connect(c.y, pt1.u)
metadata {
  "Dyad": {
    "experiments": {},
    "tests": {
      "case1": {
        "stop": 10,
        "atol": {"pt1.y": 0.001},
        "expect": {"final": {"pt1.y": 1.2}, "signals": ["pt1.y"]}
      }
    }
  }
}
end

Flattened Source

# Test fixture for evaluating first-order system response to constant input.
#
# This component connects a constant value (1.0) to a first-order system with gain 1.2 and
# time constant 0.1, allowing observation of the step response. The first-order system is
# expected to reach its steady state value of 1.2 after approximately 5 time constants (0.5 seconds).
# The metadata includes a test case that verifies this expected behavior after 10 seconds of simulation.
test component FirstOrderTest
  # Constant block that provides a unit step input with value k=1
  c = Constant(k=1)
  # First-order system with gain 1.2 and time constant 0.1 seconds
  pt1 = FirstOrder(k=1.2, T=0.1)
relations
  # Connects the constant output to the first-order system input
  connect(c.y, pt1.u)
metadata {
  "Dyad": {
    "experiments": {},
    "tests": {
      "case1": {
        "stop": 10,
        "atol": {"pt1.y": 0.001},
        "expect": {"final": {"pt1.y": 1.2}, "signals": ["pt1.y"]}
      }
    }
  }
}
end

Test Cases

Test Case case1

plt

Related

• Examples

• Experiments

• Analyses

• Tests

  • Constant

  • FirstOrder