Optimal feedback control proportional to the system state can be found for non-causal descriptor systems (a remark on a paper by P. C. Müller)

• Autorzy: Kurina G. K.
• Języki publikacji: EN

Abstrakty

EN

Optimal feedback control depending only on the system state is constructed for a control problem by the non-causal descriptor system for which optimal feedback control depending on state derivatives was considered in the paper (Müller, 1998). To this end, a non-symmetric solution of the algebraic operator Riccati equation is used.

Słowa kluczowe

EN

optimal feedback control; non-causal descriptor systems

PL

sprzężenie zwrotne; układ deskryptorowy

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2002
• Tom: Vol. 12, no 4
• Strony: 591--593
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Kurina G. K.

• Voronezh State Forestry Academy ul. Timirjazeva, 8, Voronezh, 394613, Russia,

Bibliografia

• [1] Kawamoto A., Takaba K. and Katayama T. (1998): On the generalized algebraic Riccati equation for continuous-time descriptor systems. - Proc. 13-th Int. Symp. Mathematical Theory of Networks and Systems, Padova, Italy, pp. 649-652.
• [2] Kostjukova O.I. (2000): Optimality criterion for a linear-quadratic optimal control problem by a descriptor system. - Differencial’nye Uravnenija, Vol. 36, No. 11, pp. 1475-1481 (in Russian).
• [3] Kurina G.A. (1982): Design of feedback control for linear control systems non-solvable with respect to the derivative. - Unpublished paper, VINITI, No. 3619-82, Voronezh Forestry Institute (in Russian)).
• [4] Kurina G.A. (1984): Feedback control for linear systems non-solvable with respect to the derivative. - Avtomatika i Telemekhanika, No. 6, pp. 37-41 (in Russian).
• [5] Kurina G.A. (1992): Singular perturbations of control problems with state equation non-solvable with respect to the derivative. A survey. - Izvestija RAN. Tekhnicheskaya Kibernetika, No. 4, pp. 20-48 (in Russian).
• [6] Kurina G.A. (1993): On regulating by a descriptor system in an infinite interval. - Izvestija RAN, Tekhnicheskaya Kibernetika, No. 6, pp. 33-38 (in Russian).
• [7] Lewis F.L. (1986): A survey of linear singular systems. - Circ. Syst. Signal Process., Vol. 5, No. 1, pp. 3-36.
• [8] Mehrmann V. (1991): The Autonomous Linear Quadratic Control Problem. Berlin: Springer.
• [9] Müller P.C. (1998): Stability and optimal control of nonlinear descriptor systems: A survey. - Appl. Math. Comput. Sci., Vol. 8, No. 2, pp. 269-286.