Legendre polynomials method in time-optimal control of linear single-input

• Autorzy: Pełczewski J.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Legendre polynomials; single-input linear systems; time-optimal control

PL

wielomiany Legendre'a

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 1998
• Tom: Vol. 27, no 1
• Strony: 105--117
• Opis fizyczny: Bibliogr. 16 poz.,

Twórcy

autor

Pełczewski J.

• Faculty of Mathematics, University of Łódź, S. Banacha 22, 90-238 Łódź, Poland,