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

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

The Synthesis of Terminal Control by the Output of Nonlinear System



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


Nonlinear smooth and totally controllable systems are considered.
If state vector is totally measurable the solution of terminal problem is received as definition of spectrum of matrix, for transformed into canonical form closed loop system which provides a fulfillment of terminal condition.
If only scalar output of system is measurable, then the solution of the weak terminal problem for nonlinear totally controllable and observable system is performed as a synthesis of observer which allows to provide the matrix of closed loop transformed system with designed spectrum. The design of spectrum and condition on velocity of decreasing for the Lyapunov function of mistakes equation of an observer provides the fulfilment of the weak terminal condition.

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