EE4-23 Stability and Control of Non-linear Systems

Lecturer(s): Dr David Angeli

Aims:
The main aim is to introduce the concepts and theoretical techniques needed to study the behaviour of nonlinear systems with particular attention being paid to the analysis and design of control schemes for nonlinear systems.

Learning Outcomes:
The students will be able to study systems using techniques based on the following: phase-plane analysis, Lyapunov functions and invariant sets, Lasalle's theory, Input-to-State Stability, the Small-Gain Theorem, the Circle Criterion, passivity, feedback linearization and backstepping.

Syllabus:
For non-linear systems, methods for determining stability and for designing stabilising controllers are studied using state-space (Lyapunov theory, backstepping, feedback linearization), function space (small gain theorem, passivity) and frequency-domain (circle criterion) methods.

Assessment:
One 3-hour exam in April/May + Coursework

Coursework contribution: 25%

Term: Autumn

Closed or Open Book (end of year exam): Closed

Coursework Requirement
         To be announced

Oral Exam Required (as final assessment): N/A

Prerequisite: None required

Course Homepage: unavailable