Title :
Controllability and Minimum Energy Control Problem of Infinite Dimensional Fractional Discrete-Time Systems with Delays
Author_Institution :
Inst. of Control Eng., Silesian Tech. Univ., Gliwice, Poland
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;
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
DOI :
10.1109/ACIIDS.2009.53