MEng Electrical and Electronic Engineering with Industrial Experience

Optimal Control

Quadratic Lyapunov functions for linear systems
LQR (optimal state feedback) control
Robustness of LQR control
Kalman filter (optimal observers)
LQG control (combining LQR state feedback and optimal observer)
Loop transfer recovery
Adding integral action
H2 norms and H2 optimal control

Robust Control

Underpinning concepts:

Singular value decomposition, the H-infinity norm and the H-infinity function space
Well-posedness and internal stability of feedback interconnections
Small-gain theorem

Uncertainty representations and robust stability analysis:

Additive, multiplicative and inverse multiplicative uncertainty representations
Linear Fractional Transformations (LFT) and LFT uncertainty representation
Robust stability tests

Robust controller synthesis and robust control design methodology:

Riccati based H-infinity control synthesis
H-infinity loopshaping control design methodology

Students taking EEEN40262 in semester 2 must study EEEN40221 Linear Systems Theory in semester 1.

Introduce students to the fundamentals of LQG control.

Introduce students to the fundamentals of robustness analysis, robust control law synthesis and robust control design.

ILO1 Define optimal behaviour for control systems.

ILO2 Design of control systems based on optimal performance criteria.

ILO3 Apply optimal control methods to systems from a variety of technological areas.

ILO4 Design optimal estimators and use Kalman filters in fields outside control engineering.

ILO5 Define optimal estimation of a stochastic system.

ILO6 Analyse the robustness of a feedback control system.

ILO7 Design of control systems based on robustness criteria

ILO8 Define the robustness of a control system using h-infinite norm.

ILO9 Design controllers for systems when accurate mathematical models are unavailable.

Lectures, tutorials and practical laboratory. 

.