ELEC3205 Control System Design
Aims and Objectives
- To develop skills for design of linear multivariable control systems by pole placement. - To introduce basic nonlinear system analysis and design methods.
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 task||13|
|Preparation for scheduled sessions||18|
|Wider reading or practice||55|
|Total study time||150|
Resources & Reading list
Slotine and Li (1991). Applied Nonlinear Control.
H. Khalil (2002). Nonlinear Systems.
K. Astrom and R. Murray. Feedback Systems: An Introduction for Scientists and Engineers.
K. Astrom and B. Wittenmark (1997). Computer-controlled systems: theory and design.
|Exam (2 hours)||80%|
Repeat type: Internal & External
To study this module, you will need to have studied the following module(s):
|ELEC2220||Control and Communications|