New necessary conditions for optimal control of linear stationary systems

• Autorzy: Białas S. , Górecki H.
• Języki publikacji: EN

Abstrakty

EN

The linear-quadratic problem in the system with proportional controllers is considered. New necessary conditions for establishing optimal values of gains Ki are determined which are very simple and convenient for calculations. New properties of the Hurwitz matrix are also discovered. The proposed method is alternative to the well known algebraic Riccati equations.

Słowa kluczowe

EN

linear stationary systems; optimal control; Hurwitz matrix

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2007
• Tom: Vol. 17, no. 2
• Strony: 121--134
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Białas S.

autor

Górecki H.

• Faculty of Applied Mathematics, AGH University of Science and Technology, Cracow, Poland,

Bibliografia

• [1] R. C. BOOTON, M. V. MATHENS W. W. SEIFERT: Report No 7. Nonlinear Servomechanisms with Random Inputs. Cambridge MIT, 1953.
• [2] H. GÓRECKI: Optimization and Control of Dynamic Systems. Wyd. AGH, Krakow, 2006, (in Polish).
• [3] H. M. JAMES, N. B. NICHOLS and R. S. PHILLIPS: Theory of Servomechanisms.M.I.T, New York-London, 1947.
• [4] T. KACZOREK: Relation between the coefficients of the open-loop and closed-loop transfer functions of the linear stationary system. Bulletin De L'Acemie Polonaise Des Sciences, Serie des sciences techniques, XX(1), (1972).