Optimal design of fractional order linear system with stochastic inputs/parametric uncertainties by hybrid spectral method

Reference : Optimal design of fractional order linear system with stochastic inputs/parametric un...


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/23692

Title :	Optimal design of fractional order linear system with stochastic inputs/parametric uncertainties by hybrid spectral method
Language :	English
Author, co-author :	Duong, Pham [University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB) > >]
Publication date :	Oct-2014
Journal title :	Journal of Process Control
Publisher :	Elsevier Science
Volume :	24
Issue/season :	10
Pages :	1639-1645
Peer reviewed :	Yes (verified by ORBi^lu)
Audience :	International
ISSN :	0959-1524
Keywords :	[en] 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."
Target :	Researchers ; Professionals ; Students ; General public ; Others
Permalink :	http://hdl.handle.net/10993/23692

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