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Stabilization with Internal Loop for Infinite-Dimensional Discrete Time-Varying Systems
Author(s) -
Nai-feng Gan,
Yufeng Lu,
Ting Gong
Publication year - 2014
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2014/159198
Subject(s) - parameterized complexity , transfer function , loop (graph theory) , control theory (sociology) , controller (irrigation) , function (biology) , computer science , coprime integers , factorization , internal model , mathematics , algorithm , control (management) , artificial intelligence , combinatorics , agronomy , evolutionary biology , electrical engineering , biology , engineering
The concepts of stabilization with internal loop are analyzed for well-posed transfer functions. We obtain some sufficient and necessary conditions such that a stabilizing controller with internal loop stabilizes plant L. We also analyze two special subclasses of stabilizing controllers with internal loop, called canonical and dual canonical controllers, and show that all stabilizing controllers can be parameterized by a doubly coprime factorization of the original transfer function

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