Unified, periodic & sampled data H∞ control using the delta operator
2004 (English)In: Decision and Control, 2004. CDC. 43rd IEEE Conference on, 2004, Vol. 3, p. 2364-2369Conference paper, Published paper (Refereed)
Abstract [en]
A unified and general framework is presented for H<sub>∞</sub> control of mixed continuous-time and discrete-time time-varying (periodic) systems. Using the delta operator, a close relationship is shown between the continuous- and discrete-time solutions. No assumptions are made on certain system matrices being zero or normalized, which makes the approach general and easy to apply. A combined continuous/discrete-time lifting procedure is shown to be useful, especially for ill-conditioned systems. This procedure together with the delta formalism results in a numerically robust design method concerning both short and long sampling periods for systems with W-conditioned dynamics, including widely spread eigenvalues.
Place, publisher, year, edition, pages
2004. Vol. 3, p. 2364-2369
Keywords [en]
HH∞ control, continuous time systems, discrete time systems, periodic control, time-varying systems, combined continuous/discrete time lifting procedure, delta operator, discrete-time time varying systems, ill conditioned systems, mixed continuous-time systems, numerically robust design method, sampled data H
∞ control, Automatic control, Automation, Control systems, Design methodology, Differential equations, Eigenvalues and eigenfunctions, Laboratories, Riccati equations, Robustness, Sampling methods
National Category
Control Engineering
Research subject
ENGINEERING, Manufacturing and materials engineering
Identifiers
URN: urn:nbn:se:hv:diva-7906DOI: 10.1109/CDC.2004.1428750OAI: oai:DiVA.org:hv-7906DiVA, id: diva2:845945
Conference
Decision and Control, 2004. CDC. 43rd IEEE Conference on
2015-08-132015-08-132015-08-13Bibliographically approved