Open AccessFinite spectrum assignment in linear systems with several lumped and distributed delays by means of static output feedback
Author(s) -
I.G. Kim
Publication year - 2020
Publication title -
vestnik udmurtskogo universiteta. matematika, mehanika, kompʹûternye nauki
Language(s) - English
Resource type - Journals
eISSN - 2076-5959
pISSN - 1994-9197
DOI - 10.35634/vm200302
Subject(s) - control theory (sociology) , linear system , mathematics , linear differential equation , closed loop , lti system theory , polynomial , spectrum (functional analysis) , construct (python library) , function (biology) , invariant (physics) , full state feedback , output feedback , computer science , differential equation , control (management) , mathematical analysis , control engineering , engineering , physics , quantum mechanics , artificial intelligence , evolutionary biology , mathematical physics , biology , programming language
We consider a control system defined by a linear time-invariant system of differential equations with lumped and distributed delays in the state variable. We construct a controller for the system as linear static output feedback with lumped and distributed delays in the same nodes. We study a finite spectrum assignment problem for the closed-loop system. One needs to construct gain coefficients such that the characteristic function of the closed-loop system becomes a polynomial with arbitrary preassigned coefficients. We obtain conditions on coefficients of the system under which the criterion was found for solvability of the finite spectrum assignment problem. Corollaries on stabilization by linear static output feedback with several delays are obtained for the closed-loop system.