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On the control of Markov jump linear systems with no mode observation: application to a DC Motor device
Author(s) -
Vargas Alessandro N.,
Costa Eduardo F.,
Val João B.R.
Publication year - 2012
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.2911
Subject(s) - markov chain , control theory (sociology) , jump , dc motor , nonlinear system , controller (irrigation) , computer science , state (computer science) , control (management) , power (physics) , markov process , mathematical optimization , control engineering , mathematics , engineering , algorithm , artificial intelligence , machine learning , agronomy , physics , quantum mechanics , electrical engineering , biology , statistics
SUMMARY This paper deals with the control problem of discrete‐time Markov jump linear systems for the case in which the controller does not have access to the state of the Markov chain. A necessary optimal condition, which is nonlinear with respect to the optimizing variables, is introduced, and the corresponding solution is obtained through a variational convergent method. We illustrate the practical usefulness of the derived approach by applying it in the control speed of a real DC Motor device subject to abrupt power failures.Copyright © 2012 John Wiley & Sons, Ltd.