Title :
A Mobius Transformation for Algebraic Dynamical Systems
Author :
Tudor, Sebastian F. ; Oara, Cristian
Author_Institution :
Dept. of Autom. Control & Syst. Eng., ”Politeh.” Univ. of Bucharest, Bucharest, Romania
Abstract :
A particular Mobius transformation mapping a completely general discrete-time algebraic dynamical system into a standard (proper) continuous-time one is introduced and studied. The freedom in choosing ab ante the exclusion point (in which the transformation is not defined) different from any point of interest makes this transformation a powerful universal tool for solving virtually any optimal/robust control problem for this class of systems by an elegant, yet simple reduction to known results. We show the effectiveness of our approach on two keystone problems: the normalized co prime factorization and the parametrization of all stabilizing controllers.
Keywords :
algebra; continuous time systems; discrete time systems; linear systems; optimal control; robust control; transfer functions; LTI system; Mobius transformation mapping; discrete-time algebraic dynamical system; exclusion point; linear time-invariant system; normalized coprime factorization; optimal control problem; robust control problem; stabilizing controller parametrization; standard continuous-time system; transfer function; Biological system modeling; Control systems; Eigenvalues and eigenfunctions; Linear systems; Mathematical model; Polynomials; Standards;
Conference_Titel :
Control Systems and Computer Science (CSCS), 2015 20th International Conference on
Conference_Location :
Bucharest
Print_ISBN :
978-1-4799-1779-2
DOI :
10.1109/CSCS.2015.141
