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ELEC97081 (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 stability and stabilization of nonlinear control systems, with particular attention being paid to Lyapunov-based analysis and design of control feedback laws.

Learning Outcomes

The students will be able to study systems using techniques based on the following:
-Phase-plane analysis: understanding how solutions can evolve in state-space for bidimensional systems
-Lyapunov functions, invariant sets and Lasalle's theory: assessing stability of equilibria on the basis of monotonicity properties of suitably selected energy-like functions
-Input-to-State Stability: assessing robustness of a nonlinear control system subject to exogenous disturbances
- the Small-Gain Theorem and passivity: testing stability for systems connected in cascade or in feedback

Syllabus

For non-linear systems, methods for determining stability and for designing stabilising controllers are studied using state-space methods (Lyapunov theory, backstepping, feedback linearization) and input-output approaches (small gain theorem, passivity, input-to-state stability).
Assessment
Exam Duration: 3:00hrs
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 module(s): None required

Course Homepage: unavailable

Book List:
Please see Module Reading list