Robust Control and Convex Optimisation

EEEN40262 Robust Control and Convex Optimisation 15 Semester 2 Undergraduate Level 4 Lanlan Su Unit coordinator Guido Herrmann Unit coordinator Department of Electrical & Electronic Engineering 1 FHEQ level (Framework for Higher Education Qualifications) ' Masters/Integrated Masters P4 ' European Credit Transfer & Accumulation System Rating : 7.5 Part 1 H-infinity 1.    H-infinity norm    2.    Multi-variable systems SV frequency response  3.    Multi-Variable Feedback Systems –              a.    Closed Loop Transfer functions and internal stability  b.    Nominal performance  4.    Unstructured uncertainty (i.e. additive, multiplicative, inverse multiplicative, coprime)  5.    Linear Fractional Transformations  6.    Small-gain theorem  7.    Frequency weighting   8.    Robust Stability analysis for unstructured uncertainty  9.    Robust Performance   10.    Coprime Factorization and Principles of Youla Parametrization   11.    Solving the H-infinity problem via Coprime Factorization   12.    H-infinity control systems design case studies  a.    Mixed sensitivity H-infinity design   b.    H-infinity loop shaping control  Part 2 Linear Matrix Inequalities (LMIs)   13.    Function spaces   14.    Linear Matrix Inequalities (LMIs) and convex optimisation  15.    Robust H-infinity controller synthesis (from ARE to LMIs)  16.    Kalman-Yakubovic-Popov lemma (to convert frequency dependent parahermitian matrix functions to LMIs)  17.    Dissipative dynamical systems  18.    S-procedure   19.    Lur’e Systems  20.    Integral Quadratic Constraint Analysis  21.    Analysis and design Examples  Part 3 Laboratory and Assignment 30%   Part 3.1 Mixed-sensitivity design for a Quanser system  Part 3.2 Robust Control Design with input / output constraints, e.g. anti-windup   Part 1 H-infinity 1.    H-infinity norm    2.    Multi-variable systems SV frequency response  3.    Multi-Variable Feedback Systems –              a.    Closed Loop Transfer functions and internal stability  b.    Nominal performance  4.    Unstructured uncertainty (i.e. additive, multiplicative, inverse multiplicative, coprime)  5.    Linear Fractional Transformations  6.    Small-gain theorem  7.    Frequency weighting   8.    Robust Stability analysis for unstructured uncertainty  9.    Robust Performance   10.    Coprime Factorization and Principles of Youla Parametrization   11.    Solving the H-infinity problem via Coprime Factorization   12.    H-infinity control systems design case studies  a.    Mixed sensitivity H-infinity design   b.    H-infinity loop shaping control  Part 2 Linear Matrix Inequalities (LMIs)   13.    Function spaces   14.    Linear Matrix Inequalities (LMIs) and convex optimisation  15.    Robust H-infinity controller synthesis (from ARE to LMIs)  16.    Kalman-Yakubovic-Popov lemma (to convert frequency dependent parahermitian matrix functions to LMIs)  17.    Dissipative dynamical systems  18.    S-procedure   19.    Lur’e Systems  20.    Integral Quadratic Constraint Analysis  21.    Analysis and design Examples  Part 3 Laboratory and Assignment 30%   Part 3.1 Mixed-sensitivity design for a Quanser system  Part 3.2 Robust Control Design with input / output constraints, e.g. anti-windup   The unit aims to: Introduce students to the fundamentals of robustness analysis, robust control law synthesis and robust control design   On the successful completion of the course, students will be able to:   ILO 1    Analyse robustness of systems    ILO 2    Explain how robust controllers are synthesised  ILO 3    Design controllers using robust control theory   ILO 4    Develop skills useful in controlling systems when accurate mathematical models are unavailable    ILO 5    Apply robust control methods to systems from a variety of technological areas  ILO 6    Apply design methods that can be used in developing controllers for practical systems in different applications      Theoretical knowledge is delivered over lectures and demonstrated over tutorial.  0 Other 30% 1 Written exam 70% Coursework - 30%Unseen written examination - 70% . EEEN64401 Control Fundamentals Pre-Requisite Compulsory EEEN60109 Pre-Requisite Compulsory EEEN40221 Linear Systems Theory Co-Requisite Compulsory Students taking EEEN40262 in semester 2 must study EEEN40221 Linear Systems Theory in semester 1. N 1 Design of feedback control systems. Stefani, Raymond T. Oxford University Press, 2002  2 Modern Control Engineering Ogata, K ; Brewer, J. W Journal of dynamic systems, measurement, and control, 1971  3 Multivariable feedback design Maciejowski, J. M. Addison-Wesley, 1989   4 Essentials of robust control Zhou, Kemin. Prentice Hall 1998  5 Robust and optimal control Zhou, Kemin. Prentice Hall 1996  6 Control theory and design : an RH₂ and RH [infinity] viewpoint Colaneri, Patrizio. Academic Press, 1997  7 Linear robust control Green, Michael. Prentice Hall 1995   Lectures 30 Practical classes & workshops 8 Tutorials 3 0 109