This module aims to introduce you to state-space methods for the analysis and design of control systems.

Upon successful completion of this module, you will be able to: 1. Model dynamic system using differential and difference equations 2. Given a transfer function find state-space representation and vice versa, and quantify difference between the two representations 3. Access stability properties of dynamical systems and structural properties 4. Design feedback controller in a systematic way to modify behaviour of dynamical systems 5. Assess a prior what behaviour can and cannot be achieved in a dynamic system

Abstract dynamical systems;
Differential and difference equations;
State space models;
Lyapunov stability;
Structural properties (controllability and observability);
Kalman decomposition;
Pole placement via state feedback and dynamic output feedback;
Observer design.