Dynamic Modeling

    Creating a dynamic model of a system involves multiple steps.

    1. Identify objective for simulation
      • what do we want to accomplish
      • define which inputs should be related to which outputs
    2. Draw a schematic diagram, labeling process variables
      • label relevant process variables
    3. List all assumptions
      • used also to simplify model
    4. Determine spatial dependence
      • Yes: Partial Differential Equation (PDE)
      • No: Ordinary Differential Equation (ODE)
    5. Write dynamic balances for conserved quantities
      • energy
      • mass
      • momentum (Impuls)
      • electric charge
      • species (chemistry)
    6. Add other relations
      • geometry
      • thermodynamics
      • reactions
    7. Degrees of freedom: number of equations = number of unknown variables?
    8. Classify inputs as
      • Fixed constants
      • Disturbances (cannot be controlled, might or might not be measurable)
      • Manipulated variables (manually or by solver/controller)
    9. Classify predicted variables (e.g. outputs)
      • States
      • Controlled variables (set point, optimization objective)
    10. Simplify balance equations based on assumptions
    11. Simulate steady state conditions (if possible)
    12. Simulate the output with an input step: dynamic response


    • Category

    • Robotics

    • Tags

    • Control Systems

    • Created

    • 1. July 2025


    • Modified

    • 6. August 2025