Course Goals

The goal of this subject is to teach the fundamentals of control design and analysis using state-space methods. This includes both the practical and theoretical aspects of the topic.

Learning Objectives

By the end of the course, students should be able to design controllers using state-space methods, implement some of them on an experimental platform, and evaluate whether these are likely to work well in practice.

Here is an approximate summary of the topics covered:

  • Introduction to the state-space approach to control system analysis and control synthesis.
  • State-space representation of dynamic systems; controllability and observability;
  • State-space realizations of transfer functions and canonical forms.
  • Design of controllers using state-space methods, including pole-placement and optimal control methods.
  • Introduction to the Kalman filter.
  • Limitations on performance of control systems from classical and state-space perspectives.
  • Introduction to the robustness of multivariable systems using frequency domain techniques.