Course Content (Syllabus)
The main objective of this course is the analysis of systems where the
parameters are not known exactly but are within known intervals. One of the most
useful qualities of a properly designed feedback control system is robustness, i.e.,
the ability of the closed-loop system to continue performing satisfactorily despite
large variations in the (open-loop) plant dynamics. The aim of the course is to
teach the student how to analyze and design a robust control system. Topics
covered: paradigms for robust control; robust stability and measures of robust
performance; analysis of robust stability and performance; design for robust
stability and performance.
Robust stability with a single parameter, Kharitonov’s Theorem, the value
set concept, polytopes of polynomials, the edge theorem, distinguished edges, the
sixteen plant theorem, multilinear uncertainty structures, spherical polynomial
families, and survey of design methods for robust control, application of design
methods for unstructured and structured uncertainty on an example plant.
Additional bibliography for study
J. Ackermann, “Robust Control: Systems with Uncertain Physical Parameters”, Springer Verlag, 1993.
B.R. Barmish, “New Tools for robustness of Linear Systems”, McMillan, 1994.
S.P. Bhattacharya, H. Chapellat and L.H. Keel, “Robust Control: The Parametric Approach”, Prentice Hall.
G.E. Dullerud and F. Paganini, “A Course in Robust Control Theory”, Springer, 2000.
R.S. Sanshez – Pena and M. Sznaier, “Robust Systems – Theory and Applications”, Wiley, 1998.
G.E. Dullerud and F. Paganini, “A Course in Robust Control Theory”, Springer, 2000.
R.S. Sanshez – Pena and M. Sznaier, “Robust Systems – Theory and Applications”, Wiley, 1998.
Κοσμίδου Όλγα, Εύρωστος έλεγχος δυναμικών συστημάτων, Εκδόσεις Γκιούρδας, Β., ISBN: 960-387-826-Χ, 2009.