On attaining the prescribed quality of a controlled fourth order system

• Autorzy: Kapustyan V. , Maksimov V.

Identyfikatory

DOI

10.2478/amcs-2014-0006

• Języki publikacji: EN

Abstrakty

EN

In this paper, we discuss a method of auxiliary controlled models and its application to solving some robust control problems for a system described by differential equations. As an illustration, a system of nonlinear differential equations of the fourth order is used. A solution algorithm, which is stable with respect to informational noise and computational errors, is presented. The algorithm is based on a combination of online state/input reconstruction and feedback control methods.

Słowa kluczowe

EN

auxiliary model; feedback control; online reconstruction

PL

model pomocniczy; sprzężenie zwrotne; rekonstrukcja

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2014
• Tom: Vol. 24, no. 1
• Strony: 75--85
• Opis fizyczny: Bibliogr. 10 poz., rys., wykr.

Twórcy

autor

Kapustyan V.

• Department of Mathematical Modeling for Economic Systems, National Technical University of Ukraine “Kyiv Polytechnic Institute”, 37 Peremohy av., Kyiv 03056, Ukraine

autor

Maksimov V.

• Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, 16 S. Kovalevskoi str., Ekaterinburg 620990, Russia; Chair of Control Systems Modeling, Ural Federal University, Ekaterinburg 620002, Russia

Bibliografia

• [1] Blizorukova, M.S. and Maksimov, V.I. (2006). A control problem under incomplete information, Automation and Remote Control 67(3): 131–142.
• [2] Blizorukova, M.S. and Maksimov, V.I. (2010). On some dynamical reconstruction problems for a nonlinear system of the second-order, Opuscula Mathematica 30(4): pp. 399–410.
• [3] Keesman, K.J. and Maksimov, V.I. (2008). On feedback identification of unknown characteristics: A bioreactor case study, International Journal of Control 81(1): 134–145.
• [4] Krasovskii, N.N. and Subbotin, A.I. (1988). Game-Theoretical Control Problems, Springer Verlag, New York, NY/Berlin.
• [5] Maksimov, V. (2010). On one algorithm for solving the problem of source function reconstruction, International Journal of Applied Mathematics and Computer Science 20(2): 239–247, DOI: 10.2478/v10006-010-0017-3.
• [6] Maksimov, V.I. (2011). The tracking of the trajectory of a dynamical system Journal of Applied Mathematics and Mechanics 75(6): 667–674.
• [7] Maksimov, V.I. (2013). On reconstruction of controls in uniform metric Journal of Applied Mathematics and Mechanics 77(2): 292–301.
• [8] Nordhaus, W.D. (1994). Managing the Global Commons. The Economics of Climate Change, MIT Press, Cambridge, MA/London.
• [9] Osipov, Yu.S. and Kryazhimskii, A.V. (1995). Inverse Problems of Ordinary Differential Equations: Dynamical Solutions, Gordon and Breach, London.
• [10] Osipov, Yu.S., Kryazhimskii, A.V. and Maksimov, V.I. (2011). Methods of Dynamical Reconstruction of Inputs of Control Systems, UB RAS, Ekaterinburg, (in Russian).