Premium
Time‐varying filter design for semi‐Markov jump linear systems with intermittent transmission
Author(s) -
Yang Ting,
Zhang Lixian,
Sreeram Victor,
Vargas Alessandro N.,
Hayat Tasawar,
Ahmad Bashir
Publication year - 2017
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.3779
Subject(s) - control theory (sociology) , lyapunov function , filter (signal processing) , filter design , computer science , mathematics , nonlinear system , artificial intelligence , physics , control (management) , quantum mechanics , computer vision
Summary This paper focuses on the filter design problem for semi‐Markov jump linear systems. The system outputs are transmitted to the filter via networks, and it is assumed that the transmission is imperfect with data packet dropouts subject to the Bernoulli random binary distribution. A σ ‐error mean square stability criterion is first derived for the underlying systems. On the basis of the criterion, the H ∞ performance analysis is conducted. By constructing a time‐varying Lyapunov function, a time‐varying H ∞ filter scheme is investigated. Because the presented approach can cover the mode‐dependent and mode‐independent time‐invariant H ∞ filter schemes as special cases, the conservatism of the derived results is less than those of the time‐invariant filter schemes. An active suspension system with activator uncertainties is lastly presented to illustrate the effectiveness and feasibility of the derived theoretical results. Copyright © 2017 John Wiley & Sons, Ltd.