Article (Scientific journals)
Optimal design of fractional order linear system with stochastic inputs/parametric uncertainties by hybrid spectral method
DUONG, Pham
2014In Journal of Process Control, 24 (10), p. 1639-1645
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Keywords :
Block pulse function; Fractional calculus; Operational matrix
Abstract :
[en] "t" "This paper reports the design of a fractional linear system under stochastic inputs/uncertainties. The" "design methods were based on the hybrid spectral method for expanding the system signals over ortho- gonal functions. The use of the hybrid spectral method led to algebraic relationships between the first and second order stochastic moments of the input and output of a system. The spectral method could obtain a highly accurate solution with less computational demand than the traditional Monte Carlo method. Based on the hybrid spectral framework, the optimal design was elaborated by minimizing the suitably" "defined constrained-optimization problem."
Disciplines :
Mathematics
Author, co-author :
DUONG, Pham ;  University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB)
External co-authors :
yes
Language :
English
Title :
Optimal design of fractional order linear system with stochastic inputs/parametric uncertainties by hybrid spectral method
Publication date :
October 2014
Journal title :
Journal of Process Control
ISSN :
0959-1524
Publisher :
Elsevier Science
Volume :
24
Issue :
10
Pages :
1639-1645
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBilu :
since 19 January 2016

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