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Internal stabilization of standard sampled‐data systems
Author(s) -
Lampe B. P.,
Rosenwasser E. N.
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310033
Subject(s) - observability , controllability , divisibility rule , control theory (sociology) , stability (learning theory) , mathematics , set (abstract data type) , controller (irrigation) , expression (computer science) , sampled data systems , computer science , control system , control (management) , pure mathematics , engineering , artificial intelligence , machine learning , agronomy , biology , programming language , electrical engineering
The paper presents necessary and sufficient conditions under which for a standard sampled‐data system there exists a digital controller, that ensures the internal stability of the system. For the case of stabilizability a general expression for the set of all stabilizing controllers is given. The stabilizability conditions are formulated as divisibility of certain polynomials, controllability and observability concepts are not used.