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Control of Discrete‐Time Systems Composed of Linear Blocks in Series with Saturation Components
Author(s) -
Ghani D.,
Giri F.,
Chater E.,
Chaoui F. Z.,
Haloua M.
Publication year - 2015
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1091
Subject(s) - cascade , control theory (sociology) , controller (irrigation) , saturation (graph theory) , series (stratigraphy) , mathematics , linear system , stability (learning theory) , signal (programming language) , computer science , engineering , control (management) , mathematical analysis , combinatorics , paleontology , agronomy , artificial intelligence , chemical engineering , machine learning , biology , programming language
We consider the problem of controlling cascade systems consisting of two linear dynamic blocks and two saturation elements arranged according to the N‐L‐N‐L series configuration. A cascade controller is considered and its performances are formally analyzed using input–output stability tools. In addition to global boundedness of all signals of the closed‐loop system, the controller is formally shown to enjoy a l 2 ‐tracking performance in presence of arbitrary‐shape inputs ( i.e . reference signal, disturbance).