Canonical forms for controllable after-effect systems and applications

Author

Marchenko, V.M.

Author_Institution

Dept. of Math., Technol. Univ., Minsk, Belarus

fYear

1999

fDate

Aug. 31 1999-Sept. 3 1999

Firstpage

77

Lastpage

81

Abstract

Several classes of non-singular functional transformations for linear stationary dynamical systems with retarded argument are introduced. Then, the problem of determination of canonical forms is interpreted as the algebraic problem of universality for each class of transformations. Generalization of Kalman, Popov and Brunovsky canonical representations are given for systems of control and observation with after-effect. By using the results obtained, the main qualitative control theory problems such as controllability, stabilization, observability, modal control, reconstruction, and others can be successfully investigated for various types of functional-differential systems under action of several kinds of linear difference state feedback.

Keywords

algebra; controllability; linear systems; observability; stability; state feedback; Brunovsky canonical representations; Kalman canonical representations; Popov canonical representations; algebraic problem; canonical forms; controllability; controllable after-effect systems; functional-differential systems; linear difference state feedback; linear stationary dynamical systems; modal control; nonsingular functional transformations; observability; qualitative control theory problems; retarded argument; stabilization; Controllability; Delays; Kalman filters; Polynomials; Regulators; canonical representations; controllability; stabilization; time-delay systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 1999 European

Conference_Location

Karlsruhe

Print_ISBN

978-3-9524173-5-5

Type

conf

Filename

7099276