DiscretePrimitives.IntegratorFEwInitial

IntegratorFEwInitial(; name, initial_condition = 0.0)

A discrete-time forward Euler integrator with reset capability.

Arguments

• name: Component name
• initial_condition: Initial value of the integrator output (default: 0.0)

Variables

• u(t): Input signal to integrate
• reset(t): Reset signal (when > 0, output is reset)
• y(t): Integrated output signal
• reset_value(t): Internal state for tracking reset value

Description

Implements forward Euler integration: y[k] = y[k-1] + u[k] * dt where dt is the sample time. When reset signal is active, output is set to reset_value.

Usage

PrimitiveComponents.DiscretePrimitives.IntegratorFEwInitial()

Parameters:

Connectors

• u - This connector represents a real signal as an input to a component (RealInput)
• y - This connector represents a real signal as an output from a component (RealOutput)
• reset - This connector represents a real signal as an input to a component (RealInput)

Behavior

\[ \begin{align} y\left( t \right) &= ifelse\left( \mathtt{reset}\left( t \right) > 0, \mathtt{reset\_value}\left( t \right), Shift(t, -1)\left( y\left( t \right) \right) + u\left( t \right) ModelingToolkit.SampleTime \right) \\ \mathtt{reset\_value}\left( t \right) &= ifelse\left( isnan\_wrapper\left( Shift(t, -1)\left( \mathtt{reset\_value}\left( t \right) \right) \right), 0, Shift(t, -1)\left( \mathtt{reset\_value}\left( t \right) \right) \right) \\ \frac{\mathrm{d} \mathtt{dummy.l}\left( t \right)}{\mathrm{d}t} &= 0 \end{align} \]

Source

"""
    IntegratorFEwInitial(; name, initial_condition = 0.0)

A discrete-time forward Euler integrator with reset capability.

# Arguments
- `name`: Component name
- `initial_condition`: Initial value of the integrator output (default: 0.0)

# Variables
- `u(t)`: Input signal to integrate
- `reset(t)`: Reset signal (when > 0, output is reset)
- `y(t)`: Integrated output signal
- `reset_value(t)`: Internal state for tracking reset value

# Description
Implements forward Euler integration: y[k] = y[k-1] + u[k] * dt
where dt is the sample time. When reset signal is active, output is set to reset_value.
"""
external component IntegratorFEwInitial@[input inclk, input outclk]
  u = RealInput@[inclk]() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 0, "y1": 450, "x2": 100, "y2": 550, "rot": 0}
      },
      "tags": []
    }
  }
  y = RealOutput@[outclk]() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 900, "y1": 450, "x2": 1000, "y2": 550, "rot": 0}
      },
      "tags": []
    }
  }
  reset = Dyad.RealInput() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 0, "y1": 60, "x2": 100, "y2": 160, "rot": 0}
      },
      "tags": []
    }
  }
  structural initial_condition::Real = 0.0
relations
metadata {"Dyad": {"icons": {"default": "dyad://PrimitiveComponents/IntegratorFE.svg"}}}
end

"""
    IntegratorFEwInitial(; name, initial_condition = 0.0)

A discrete-time forward Euler integrator with reset capability.

# Arguments
- `name`: Component name
- `initial_condition`: Initial value of the integrator output (default: 0.0)

# Variables
- `u(t)`: Input signal to integrate
- `reset(t)`: Reset signal (when > 0, output is reset)
- `y(t)`: Integrated output signal
- `reset_value(t)`: Internal state for tracking reset value

# Description
Implements forward Euler integration: y[k] = y[k-1] + u[k] * dt
where dt is the sample time. When reset signal is active, output is set to reset_value.
"""
external component IntegratorFEwInitial
  u = RealInput@[inclk]() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 0, "y1": 450, "x2": 100, "y2": 550, "rot": 0}
      },
      "tags": []
    }
  }
  y = RealOutput@[outclk]() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 900, "y1": 450, "x2": 1000, "y2": 550, "rot": 0}
      },
      "tags": []
    }
  }
  reset = Dyad.RealInput() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 0, "y1": 60, "x2": 100, "y2": 160, "rot": 0}
      },
      "tags": []
    }
  }
  structural initial_condition::Real = 0.0
relations
metadata {"Dyad": {"icons": {"default": "dyad://PrimitiveComponents/IntegratorFE.svg"}}}
end

Test Cases

No test cases defined.

Related

• Examples
• Experiments
• Analyses
• Tests
  • Test_IntegratorFE
  • Test_IntegratorReset