Title :
Minimum energy control of fractional positive continuous-time linear systems
Author :
Kaczorek, Tadeusz
Author_Institution :
Fac. of Electr. Eng., Bialystok Univ. of Technol., Bialystok, Poland
Abstract :
The minimum energy control problem for the fractional positive continuous-time linear systems is formulated and solved. Sufficient conditions for the existence of solution to the problem are established. A procedure for solving of the problem is proposed and illustrated by numerical examples.
Keywords :
continuous time systems; linear systems; matrix algebra; reachability analysis; fractional positive continuous-time linear systems; minimum energy control problem; sufficient conditions; Controllability; Fractional calculus; Linear systems; Numerical stability; Performance analysis; Stability analysis; Sufficient conditions;
Conference_Titel :
Methods and Models in Automation and Robotics (MMAR), 2013 18th International Conference on
Conference_Location :
Miedzyzdroje
Print_ISBN :
978-1-4673-5506-3
DOI :
10.1109/MMAR.2013.6669982