Feedback control for time-varying descriptor systems.

• Autorzy: Kurina GA.
• Języki publikacji: EN

Abstrakty

EN

The control in the feedback form and the optimal cost are obtained for different linear-quadratic optimal control problems by time-varying descriptor systems in Hilbert space. For that purpose the operator which is the solution of the operator Riccati equation is used. This operator acts in all state space, unlike the operator in the subspace in the case of a singular operator before the derivative, which determines an optimal control with the help of part of the state variable. In contrast to previous works of other authors the regularity of the pencil of operators from the state equation is not required. At the end of the paper the feedback control for linear-quadratic optimal control problems with the degenerate Legendre condition is considered.

Słowa kluczowe

EN

time-varying descriptor systems; optimal cost; operator Riccati equation; linear quadratic optimal control; degenerate Legendre condition

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Systems Science
• Rocznik: 2000
• Tom: Vol. 26, nr 3
• Strony: 47--59
• Opis fizyczny: Bibliogr. 16 poz.,

Twórcy

autor

Kurina GA.

• Voronezh State Forestry Acad., Russia