Show simple item record

AuthorMoghadam, A.A.
AuthorAksikas, I.
AuthorDubljevic, S.
AuthorForbes, J.F.
Available date2016-02-08T14:21:26Z
Publication Date2014-04
Publication NameInternational Journal of Control
ResourceScopus
CitationMoghadam, A.A., Aksikas, I., Dubljevic, S., Forbes, J.F. "LQ (optimal) control of hyperbolic PDAEs." (2014) International Journal of Control, 87 (10), pp. 2156-2166.
ISSN0020-7179
URIhttp://dx.doi.org/10.1080/00207179.2014.903564
URIhttp://hdl.handle.net/10576/4127
AbstractThe linear quadratic control synthesis for a set of coupled first-order hyperbolic partial differential and algebraic equations is presented by using the infinite-dimensional Hilbert state-space representation of the system and the well-known operator Riccati equation (ORE) method. Solving the algebraic equations and substituting them into the partial differential equations (PDEs) results in a model consisting of a set of pure hyperbolic PDEs. The resulting PDE system involves a hyperbolic operator in which the velocity matrix is spatially varying, non-symmetric, and its eigenvalues are not necessarily negative through of the domain. The C0-semigroup generation property of such an operator is proven and it is shown that the generated C 0-semigroup is exponentially stable and, consequently, the ORE has a unique and non-negative solution. Conversion of the ORE into a matrix Riccati differential equation allows the use of a numerical scheme to solve the control problem.
Languageen
PublisherTaylor and Francis Ltd.
Subjectcoupled PDE-algebraic system
hyperbolic PDE
infinite-dimensional system
LQ control
operator Riccati equation
TitleLQ (optimal) control of hyperbolic PDAEs
TypeArticle
Pagination2156-2166
Issue Number10
Volume Number87


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record