H infinity digital redesign for LTI systems

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The so-called digital redesign (DR) is a sampled-data (SD) controller design method where an analogue controller is designed firstly, and then transformed to an approximately equivalent digital controller in the sense of state-matching. In this approach, the SD controller is designed by reducing the discrepancy between the discrete-time (DT) counterpart of the closed-loop SD control system and the continuous-time (CT) closed-loop system. In this paper, we develop a DR strategy for CT linear time-invariant systems. More specifically, H-infinity norm of the error dynamic system between the CT and DT plants is minimized for the optimal state-matching performance at every sampling point. The design problem is formulated as linear matrix inequalities which can be efficiently solved by using convex optimization techniques. Finally, an example is given to illustrate the effectiveness of the proposed method.
Publisher
INST CONTROL ROBOTICS & SYSTEMS
Issue Date
2015-06
Language
English
Article Type
Article
Citation

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, v.13, no.3, pp.603 - 610

ISSN
1598-6446
DOI
10.1007/s12555-014-0326-7
URI
http://hdl.handle.net/10203/286058
Appears in Collection
EE-Journal Papers(저널논문)
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