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Output‐feedback ℋ︁ 2 /ℋ︁ ∞ control of a class of networked fault tolerant control systems
Author(s) -
Aberkane S.,
Ponsart J. C.,
Sauter D.
Publication year - 2008
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.4
Subject(s) - class (philosophy) , control theory (sociology) , computer science , stability (learning theory) , control (management) , networked control system , fault tolerance , control system , discrete time and continuous time , linear matrix inequality , markov process , jump , stochastic control , markov chain , mathematical optimization , mathematics , optimal control , distributed computing , engineering , statistics , physics , quantum mechanics , machine learning , artificial intelligence , electrical engineering
Abstract This paper deals with static output feedback control of a class of discrete‐time networked control systems (NCS) subject to random failures and random delays. The different random processes are modeled as Markovian chains, and the resulting closed‐loop system belongs to the class of discrete‐time Markovian jump linear systems (MJLS). The main contribution is to formulate conditions for multi‐performance design related to this class of stochastic hybrid systems. The specifications and objectives under consideration include stochastic stability, ℋ 2 and ℋ ∞ performances. Results are formulated as matrix inequalities. A numerical algorithm is provided and its running is illustrated on a numerical example. Copyright © 2008 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society