Modeling Dynamic Systems in State-Space

Identify the minimum number of state variables required to describe a dynamic system.

Select appropriate state variables for mechanical and electrical systems based on energy storage elements.

Derive state-space models from differential equations for linear time-invariant (LTI) systems.

Linearize a nonlinear system model around an operating point to obtain a linear state-space representation.

Transform a state-space representation into a canonical form (e.g., controllable or observable).

Convert between state-space representations and transfer function representations for a given system.