NOTE

Devices are necessary to control how machines work, in such a way that the task is performed as desired.

A dynamic control systems is a system that

  • evolve over time
  • have inputs and outputs.

Control Objectives

  • Stabilization: make sure the plant does not deviate too much from the desired behavior
  • Performance: Execute the desired task as accurately as possible
  • Robustness: perform well even in the presence of external disturbances

Course Objectives

In the course we will do:

  • Modeling: learn how to represent a dynamic control system in such a way that it can be treated effectively using mathematical tools.
  • Analysis: understand the basic characteristics of a system (e.g., stability), and how the input affects the output.
  • Synthesis: figure out how to change a system, typically by feedback, in such a way that it behaves in a desirable way.

We will be focusing on: SISO: systems with a single input and a single output LTI: linear time-invariant system

What is control?

Control System sketch example

Link to original

A signal is a function of time or frequency