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JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2010 Issue 5(21), Pages 258–262 (Mi vsgtu803)

Short Communication
Differential Equations

Observers for the Quasi-Linear Systems

Y. A. Shakhov

Dept. of Economics Systems Modeling, St. Petersburg State University, Faculty of Applied Mathematics and Control Processes, St. Petersburg

Abstract: The problem of quasi-linear systems stabilization in the case of incomplete feedback is considered. While synthesising a stabilizing control, estimation of a current state vector is applied. To design this estimation, observers are constructed. The full-dimensions observer and the Luenberger’s observer are studied and sufficient conditions of its existence are obtained.

Keywords: quasi-linear system, stabilization, program control, incomplete feedback, full-dimensions observer, Luenberger’s observer.

UDC: 517.977.1, 519.71

MSC: 34H15, 49N30, 93B07

Original article submitted 26/VI/2010
revision submitted – 12/X/2010

DOI: 10.14498/vsgtu803



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