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Języki publikacji
Abstrakty
The paper deals with application of shifted Legendre polynomials in the time-optimal control problem for a linear, time invariant, undisturbed, single-input system. It was assumed that the normality condition of the time-optimal control is satisfied, the state matrix is nonsingular, and all its eigenvalues are real nonpositive. The method of evaluating the approximate swiching instants of the bang-bang control is presented. The proposed computational procedure is based on the solution of algebraic matrix equation, which corresponds to the differential state equation, and was obtained according to the propertyies of Legendre polynomials.
Czasopismo
Rocznik
Tom
Strony
105--117
Opis fizyczny
Bibliogr. 16 poz.,
Twórcy
autor
- Faculty of Mathematics, University of Łódź, S. Banacha 22, 90-238 Łódź, Poland, jerpel@imul.uni.lodz.pl
Bibliografia
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT2-0001-0822