Title :
Controllability and minimum energy control of fractional systems
Author_Institution :
Silesian University of Technology, Faculty of Automatic Control, Electronics and Computer Science, Institute of Automatic Control, 16 Akademicka Street, 44-101 Gliwice, Poland
fDate :
May 31 2015-June 3 2015
Abstract :
The main purpose of the paper is to discuss controllability problem for fractional systems. Also, the minimum energy control problem of infinite-dimensional fractional-discrete time linear systems is addressed. Moreover, the necessary and sufficient conditions for the exact controllability of the system are established. Sufficient conditions for the solvability of the minimum energy control of the infinite-dimensional fractional discrete-time systems are given. Finally, a procedure for computation of the optimal sequence of inputs minimizing the quadratic performance index is proposed.
Keywords :
Controllability; Delays; Linear systems; Performance analysis; Robots; Fractional infinite-dimensional discrete-time; controllability; linear system; minimum energy control;
Conference_Titel :
Control Conference (ASCC), 2015 10th Asian
Conference_Location :
Kota Kinabalu, Malaysia
DOI :
10.1109/ASCC.2015.7244463