Minimum energy control of descriptor discrete-time linear systems by the use of Weierstrass-Kronecker decomposition

• Main Authors: Kaczorek Tadeusz, Borawski Kamil
• Format: Article
• Language: English
• Published: Polish Academy of Sciences 2016-06-01
• Series: Archives of Control Sciences
• Subjects: descriptor; discrete-time; linear; system; Weierstrass-Kronecker decomposition; minimum energy control
• Online Access: http://www.degruyter.com/view/j/acsc.2016.26.issue-2/acsc-2016-0010/acsc-2016-0010.xml?format=INT
• ISSN: 2300-2611

The minimum energy control problem for the descriptor discrete-time linear systems by the use of Weierstrass-Kronecker decomposition is formulated and solved. Necessary and sufficient conditions for the reachability of descriptor discrete-time linear systems are given. A procedure for computation of optimal input and a minimal value of the performance index is proposed and illustrated by a numerical example.