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.
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.