Dead-Beat Stabilizability of Discrete-Time Switched Linear Systems: Algorithms and Applications
Author(s) -
Mirko Fiacchini,
Gilles Millérioux
Publication year - 2018
Publication title -
ieee transactions on automatic control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.436
H-Index - 294
eISSN - 1558-2523
pISSN - 0018-9286
DOI - 10.1109/tac.2018.2887351
Subject(s) - beat (acoustics) , constructive , algorithm , computer science , control theory (sociology) , sequence (biology) , linear system , mathematics , artificial intelligence , control (management) , acoustics , physics , process (computing) , biology , genetics , operating system , mathematical analysis
This paper deals with the dead-beat stabilizability of autonomous discrete-time switched linear systems. Based on a constructive necessary and sufficient condition for dead-beat stabilizability, we propose two algorithms. The first one is concerned with the problem of testing dead-beat stabilizability and computing the shorter stabilizing mode sequence, whenever it exists. The other one implements a method to construct a switched system whose shorter dead-beat stabilizing sequence has a prescribed length. Then, we present numerical assessments and possible applications.
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