Application of legendre polynomials method in time-optimal control of linear, continuous, multi-inputs systems.

• Autorzy: Pełczewski J.
• Języki publikacji: EN

Abstrakty

EN

The paper deals with numerical solution of the linear time-optimal control problem for linear time-invariant, multi-inputs systems, on which the results obtained in [13] are extended for linear, single-input systems. The particular components of the control vector are expressed approximately by finite sum of shifted Legendre polynomials multiplied by constant coefficients, being elements of a matrix , which depends on switching instants. The solution of algebraic matrix equation, describing the system's dynamics, has been found without the need of evaluating the state vector's initial conditions for consecutive time-intervals of the bang-bang control. The computational procedure is presented.

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Systems Science
• Rocznik: 1999
• Tom: Vol. 25, nr 2
• Strony: 15--24
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Pełczewski J.

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