SecondOrderTest

Usage

SecondOrderTest()

Behavior

\[ \begin{align} \mathtt{c.y}\left( t \right) &= \mathtt{pt2.u}\left( t \right) \\ \mathtt{c.y}\left( t \right) &= \mathtt{c.k} \\ \frac{\mathrm{d} \mathtt{pt2.x}\left( t \right)}{\mathrm{d}t} &= \mathtt{pt2.xd}\left( t \right) \\ \frac{\mathrm{d} \mathtt{pt2.xd}\left( t \right)}{\mathrm{d}t} &= \left( - 2 \mathtt{pt2.d} \mathtt{pt2.xd}\left( t \right) + \left( - \mathtt{pt2.x}\left( t \right) + \mathtt{pt2.k} \mathtt{pt2.u}\left( t \right) \right) \mathtt{pt2.w} \right) \mathtt{pt2.w} \\ \mathtt{pt2.y}\left( t \right) &= \mathtt{pt2.x}\left( t \right) \end{align} \]

Source

component SecondOrderTest
  c = Constant(k=1)
  pt2 = SecondOrder(k=1.0, w=1.0, d=0.5)
relations
  connect(c.y, pt2.u)
metadata {
  "JuliaSim": {
    "experiments": {},
    "tests": {
      "case1": {
        "stop": 10,
        "initial": {"pt2.xd": 0},
        "atol": {"pt2.y": 0.01},
        "expect": {"final": {"pt2.y": 1}, "signals": ["pt2.y"]}
      }
    }
  }
}
end

component SecondOrderTest
  c = Constant(k=1)
  pt2 = SecondOrder(k=1.0, w=1.0, d=0.5)
relations
  connect(c.y, pt2.u)
metadata {
  "JuliaSim": {
    "experiments": {},
    "tests": {
      "case1": {
        "stop": 10,
        "initial": {"pt2.xd": 0},
        "atol": {"pt2.y": 0.01},
        "expect": {"final": {"pt2.y": 1}, "signals": ["pt2.y"]}
      }
    }
  }
}
end

Test Cases

Test Case case1