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Title:

Discrete-time control design based on symplectic integration: Linear systems

Document type:
Konferenzbeitrag
Contribution type:
Textbeitrag / Aufsatz
Author(s):
Kotyczka, P.; Lefèvre, L.
Pages contribution:
pp. 7563-7568
Abstract:
We propose a novel approach to design discrete-time state feedback controllers for sampled control systems with guaranteed stability under arbitrary sampling times that fulfill the Nyquist-Shannon condition. The key idea is borrowed from symplectic integration and backward error analysis of Hamiltonian systems: The closed-loop target system is the discretized version of a continuous-time system with appropriately shaped Hamiltonian, where a symplectic scheme is used for discretization. We adopt...     »
Keywords:
Sampled-data systems; discrete-time control; linear SISO systems; symplectic integration; implicit midpoint rule; energy shaping
Dewey Decimal Classification:
620 Ingenieurwissenschaften
Book / Congress title:
IFAC World Congress [21st]
Congress (additional information):
IFAC-PapersOn Line
Volume:
Vol. 53, Issue 2
Organization:
IFAC
Date of congress:
11.-17.7.2020
Publisher:
Elsevier
Year:
2020
Year / month:
2020-07
Month:
Jul
Covered by:
Scopus
Reviewed:
ja
Language:
en
Fulltext / DOI:
doi:10.1016/j.ifacol.2020.12.1352
WWW:
https://doi.org/10.1016/j.ifacol.2020.12.1352
TUM Institution:
Lehrstuhl für Regelungstechnik
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