ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Meek Terminal Control for Nonlinear and Time-Varying Discrete Systems

Author(s):

I. E. ZUBER

Saint-Petersburg State University,
Department of Theoretical cybernetics,
28 Universitetskaya str., 198504 St. Petersburg, RUSSIA,

zuber@EZ7332.spb.edu

Abstract:

In this paper a nonlinear time-varying discrete system is considered. An admissible control is supposed as an operator of output. Two prescribed state vectors are given. Such an admissible control is found which provides the achievement of prescribed vicinity of the second vector for described number of steps from the first vector.

The solution of the considered problem is based on the canonical transformation of special kind and on the synthesis of asymptotically stable observer for nonlinear time-varying discrete systems.

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