- Tytuł:
- Legendre polynomials method in time-optimal control of linear single-input
- Autorzy:
- Pełczewski, J.
- Powiązania:
- https://bibliotekanauki.pl/articles/205663.pdf
- Data publikacji:
- 1998
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
wielomiany Legendre'a
Legendre polynomials
single-input linear systems
time-optimal control - Opis:
- 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.
- Źródło:
-
Control and Cybernetics; 1998, 27, 1; 105-117
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł