Controllability and Minimum Energy Control Problem of Infinite Dimensional Fractional Discrete-Time Systems with Delays

Author

Klamka, Jerzy

Author_Institution

Inst. of Control Eng., Silesian Tech. Univ., Gliwice, Poland

fYear

2009

fDate

1-3 April 2009

Firstpage

398

Lastpage

403

Abstract

The minimum energy control problem of infinite-dimensional fractional-discrete time linear systems both without delays and with delays in control is discussed. Using methods taken from functional analysis necessary and sufficient conditions for the exact controllability of the system are established. Next, assuming exact controllability analytical solution of the minimum energy control of the infinite-dimensional fractional discrete-time systems is given. A procedure for computation of the optimal sequence of inputs minimizing the quadratic performance index is proposed.

Keywords

controllability; delays; discrete time systems; multidimensional systems; controllability; delay; functional analysis; infinite dimensional fractional discrete-time system; minimum energy control problem; quadratic performance index; Control engineering; Control systems; Controllability; Database systems; Deductive databases; Delay effects; Delay systems; Equations; Linear systems; Sufficient conditions; Controllability; Discrete-time systems; Fractional systems; Linear systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Information and Database Systems, 2009. ACIIDS 2009. First Asian Conference on

Conference_Location

Dong Hoi

Print_ISBN

978-0-7695-3580-7

Type

conf

DOI

10.1109/ACIIDS.2009.53

Filename

5176027