Skip to main navigationSkip to main content
The University of Southampton

ELEC3205 Control System Design

Module Overview

Aims and Objectives

Learning Outcomes

Knowledge and Understanding

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

  • 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 of 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

Completion of assessment task13
Follow-up work18
Preparation for scheduled sessions18
Wider reading or practice55
Total study time150

Resources & Reading list

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

Slotine and Li (1991). Applied Nonlinear Control. 

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

H. Khalil (2002). Nonlinear Systems. 



MethodPercentage contribution
Continuous Assessment 20%
Final Assessment  80%


MethodPercentage contribution
Set Task 100%


MethodPercentage contribution
Set Task 100%

Repeat Information

Repeat type: Internal & External

Linked modules

Pre-requisite: ELEC2220

Share this module Share this on Facebook Share this on Twitter Share this on Weibo
Privacy Settings