The University of Southampton

ELEC6243 Control System Design (MSc)

Module Overview

This module is taught together with ELEC3205 Control System Design. ELEC6243 has higher requirements on the desired learning outcomes, which will be assessed by a different set of coursework.

Aims and Objectives

Module Aims

The module aims at providing a set of techniques (including the use of Matlab) for the design of linear multivariable control systems, and to introduce basic nonlinear system analysis and design methods.

Learning Outcomes

Knowledge and Understanding

Having successfully completed this module, you will be able to demonstrate knowledge and understanding of:

  • Demonstrate awareness of the current key research issues in control systems design
Subject Specific Intellectual and Research Skills

Having successfully completed this module you will be able to:

  • Design controller using frequency domain methods
  • Analyse linear dynamical systems by state space methods
  • Derive state space representation from a given transfer function representation
  • Check controllability/observability by rank test of the controllability/observability matrix
  • Design pole placement state-feedback controller in the state space setting, also with observers in the loop
  • Model, analyse, and synthesise nonlinear dynamical systems
  • Derive state space representations for nonlinear systems from first principles
  • Analyse stability of nonlinear autonomous systems by state space methods
  • Analyse nonlinear input--output systems by describing functions


Frequency Domain Methods for Controller Design - Lead-lag compensator - Introduction to loop shaping State-space representations for linear systems - Transfer function canonical realisations - State space representations Structural properties - Controllability and state transfer - Observability and state estimation Multivariable control by pole placement - Pole placement by state feedback - Elements to optimal control State estimation - Observer design by pole placement Joint observer-controller schemes Nonlinear systems and mathematical modelling Introduction to the phase plane analysis method Stability and Lyapunov analysis - Lyapunov indirect method - Lyapunov direct method - Lasalle’s Theorem Describing functions Nonlinear control system design - Design via linearisation - Design via feedback linearisation - Introduction to Lyapunov based design method

Learning and Teaching

Independent Study102
Total study time150

Resources & Reading list

K. Astrom and B. Wittenmark (1997). Computer-controlled systems: theory and design. 

K. Astrom and R. Murray. Feedback Systems: An Introduction for Scientists and Engineers. 



MethodPercentage contribution
Directed reading 10%
Exam  (2 hours) 80%
Problem Sheets 10%


MethodPercentage contribution
Exam  (2 hours) 100%

Repeat Information

Repeat type: Internal & External

Linked modules

This module is taught together with ELEC3205 Control System Design.

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