Class 1 Notes - non-linear

Dynamical System

Any system that has moving parts or physical quantities that change with respect to time.

Control System

A dynamic system whose behavior can be influenced externally.

Input

External signals that can influence the behavior of the system (controls).

Unintentional Inputs

Disturbances (or) Noise are what?

Output

Behavior of the system that can be observed or the physical quantities generated by the system that can be measured externally.

Internal States

The key physical quantities describing the dynamics of the system that are not necessarily measurable or observable externally.

Mathematical Models of Control Systems

Control systems are mathematically represented by systems of differential equations called state-space models. If a system can be represented by the following form of linear differential equations