Module Information

Module Identifier
Module Title
Advanced Control Theory
Academic Year
Semester 1
Mutually Exclusive
MA38410 Module overlap
Other Staff

Course Delivery

Delivery Type Delivery length / details
Lecture 36 x 1-hour lectures
Seminars / Tutorials 8 x 1-hour
Workload Breakdown Every 10 credits carries a notional student workload of 100 hours. Lectures and tutorials = 44 hours, Worksheets (6 x 5 hours) = 30 hours, Private Study = 123 hours, Examination = 3 hours.


Assessment Type Assessment length / details Proportion
Semester Exam 3 Hours   Written examination  100%
Supplementary Exam 3 Hours   Written examination  100%

Learning Outcomes

On successful completion of this module students should be able to:

1. Set up mathematical models for control problems for dynamical systems;
2. Apply optimal control techniques to specific models to produce an optimal solution:
3. Check for conditions of controllability and observability in specific models;
4. Analyze and synthesize mathematical models in the linear systems setting;
5. Model control problems in the prescence of noise.

Brief description

Control theory is an important subject in modern Mathematics. It allows students to see concrete applications of Mathematical Analysis (a research strength in the department) as well as develop model solving skills.


  • Basic Concepts of Control
  • Controllability and Observability
  • Linear control systems
  • Optimal Control
  • Control of Stochastic Dynamical Systems
  • The Kalman Filter

Module Skills

Skills Type Skills details
Application of Number Throughout the modules.
Communication Students will be expected to submit written worksheet solutions.
Improving own Learning and Performance Feedback via tutorials.
Information Technology Extensive use of spreadsheets.
Personal Development and Career planning Students will be exposed to an area of application that they have not previously encountered.
Problem solving All situations considered are problem-based to a greater or lesser degree.
Research skills Students will be expected to consult various books and journals for examples of application.
Subject Specific Skills Using control theoretic techniques in modelling and analysis.
Team work N/A

Reading List

Recommended Text
Christiaan Heij, André Ran, Freek van Schagen (2007) Introduction to Mathematical Systems Theory Birkhaeuser Primo search Jon Davis (2002) Foundations of Deterministic and Stochastic Control Birkhaeuser Primo search Stephen Barnett (1975) Introduction to Mathematical Control Theory Clarendon Press (Oxford) Primo search
Supplementary Text
Shlomo Engelberg (2005) A Mathematical Introduction to Control Theory Imperial College Press Primo search


This module is at CQFW Level 7