CosineTest

Usage

CosineTest()

Behavior

\[ \begin{align} \mathtt{signal.y}\left( t \right) &= \mathtt{integrator.u}\left( t \right) \\ \frac{\mathrm{d} \mathtt{integrator.x}\left( t \right)}{\mathrm{d}t} &= \mathtt{integrator.k} \mathtt{integrator.u}\left( t \right) \\ \mathtt{integrator.y}\left( t \right) &= \mathtt{integrator.x}\left( t \right) \\ \mathtt{signal.y}\left( t \right) &= ifelse\left( \mathtt{signal.start\_time} < t, \mathtt{signal.offset} + \mathtt{signal.amplitude} \cos\left( \mathtt{signal.phase} + 6.2832 \mathtt{signal.frequency} \left( - \mathtt{signal.start\_time} + t \right) \right), \mathtt{signal.offset} \right) \end{align} \]

Source

component CosineTest
  integrator = Integrator()
  signal = Cosine(amplitude=1, frequency=2, start_time=0.5, offset=0.5, phase=3.14)
relations
  connect(signal.y, integrator.u)
metadata {
  "JuliaSim": {
    "tests": {
      "case1": {
        "stop": 5,
        "atol": {"signal.y": 0.001, "integrator.x": 0.001},
        "expect": {
          "initial": {"signal.y": 0.5},
          "signals": ["signal.y", "integrator.x"],
          "final": {"signal.y": -0.49999, "integrator.x": 2.45255}
        }
      }
    }
  }
}
end

component CosineTest
  integrator = Integrator()
  signal = Cosine(amplitude=1, frequency=2, start_time=0.5, offset=0.5, phase=3.14)
relations
  connect(signal.y, integrator.u)
metadata {
  "JuliaSim": {
    "tests": {
      "case1": {
        "stop": 5,
        "atol": {"signal.y": 0.001, "integrator.x": 0.001},
        "expect": {
          "initial": {"signal.y": 0.5},
          "signals": ["signal.y", "integrator.x"],
          "final": {"signal.y": -0.49999, "integrator.x": 2.45255}
        }
      }
    }
  }
}
end

Test Cases

Test Case case1