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FirstOrderTest.md

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 ​

BlockComponents.FirstOrderTest()

Behavior ​

[connect(c+y(t),pt1+u(t))c.y(t)=c.kdpt1.x(t)dt=−pt1.x(t)+pt1.kpt1.u(t)pt1.Tpt1.y(t)=pt1.x(t)]

Source ​

dyad
# 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) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 70, "y1": 110, "x2": 170, "y2": 210, "rot": 0}
      }
    }
  }
  # First-order system with gain 1.2 and time constant 0.1 seconds
  pt1 = FirstOrder(k = 1.2, T = 0.1) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 310, "y1": 110, "x2": 410, "y2": 210, "rot": 0}
      }
    }
  }
relations
  # Connects the constant output to the first-order system input
  connect(c.y, pt1.u) {"Dyad": {"edges": [{"S": 1, "M": [], "E": 2}], "renderStyle": "standard"}}
  initial pt1.y = 0
metadata {
  "Dyad": {
    "experiments": {},
    "tests": {
      "case1": {
        "stop": 10,
        "atol": {"pt1.y": 0.001},
        "expect": {"final": {"pt1.y": 1.2}, "signals": ["pt1.y"]}
      }
    }
  }
}
end
Flattened Source
dyad
# 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) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 70, "y1": 110, "x2": 170, "y2": 210, "rot": 0}
      }
    }
  }
  # First-order system with gain 1.2 and time constant 0.1 seconds
  pt1 = FirstOrder(k = 1.2, T = 0.1) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 310, "y1": 110, "x2": 410, "y2": 210, "rot": 0}
      }
    }
  }
relations
  # Connects the constant output to the first-order system input
  connect(c.y, pt1.u) {"Dyad": {"edges": [{"S": 1, "M": [], "E": 2}], "renderStyle": "standard"}}
  initial pt1.y = 0
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 ​

julia
plt