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

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

Passification with Respect to Given Input and Output for Linear SISO Systems

Author(s):

Alexander Lvovich Fradkov

Institute of Problems in Mechanical Engineering,
Russian Academy of Sciences, 199178, Saint Petersburg, Russia
Department of Theoretical Cybernetics,
Saint Petersburg State University, 199034, Saint Petersburg, Russia
Dr.Sc., Professor

fradkov@mail.ru

Mikhail Markovich Lipkovich

Institute of Problems in Mechanical Engineering,
Russian Academy of Sciences, 199178, Saint Petersburg, Russia
Department of Theoretical Cybernetics,
Saint Petersburg State University, 199034, Saint Petersburg, Russia
PhD in physics and mathematics

lipkovich.mikhail@gmail.com

Abstract:

New version of passification with respect to given inputs and outputs is proposed. It can be considered as an extension of passification introduced in (Fradkov, IEEE CDC 2008). Necessary and sufficient conditions for the proposed version of passification are obtained for linear SISO systems. Solution is based on KYP lemma and Meerov's results concerning high gain stabilization.

Keywords

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