Abstract
Consideration was given to the nonlinear observer with the feedback sensitivity function which showed itself well in estimating the carbon and silicon content in the converter melt on the basis of the nonlinear model with time-constant parameters. In the case of controlling the melt temperature by the cooling additives, the plant parameters vary in time, which requires additional studies. For the estimation error under permanent perturbations where the matrix of the linear part is time-dependent, the zero solution of the equation system was proved to be stable.
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References
Johansson, A. and Medvedev, A., An Observer for Systems with Nonlinear Output Map, Automatica, 2003, vol. 39, pp. 909–918.
Sokolov, B., Shepeljavyj, A., and Medvedev, A., Steel Converter Process Control with Cooling Additives, in Preprint NOLCOS’2004 “6 IFAC Sympos. Nonlinear Control Syst.,” Stuttgart, 2004, pp. 1529–1533.
Malkin, I.G., Teoriya ustoichivosti dvizheniya (Motion Stability Theory), Moscow: Nauka, 1966.
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Original Russian Text © A.V. Medvedev, B.M. Sokolov, A.I. Shepelyavyi, 2007, published in Avtomatika i Telemekhanika, 2007, No. 9, pp. 3–8.
This work was supported in part by the Council for Grants at the President of the Russian Federation, project no. NSH-2257.2003.1, and the Swedish Royal Academy of Sciences.
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Medvedev, A.V., Sokolov, B.M. & Shepelyavyi, A.I. Stability of the solutions of the observation error equations at control of the steel converter process. Autom Remote Control 68, 1471–1475 (2007). https://doi.org/10.1134/S0005117907090019
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DOI: https://doi.org/10.1134/S0005117907090019