Continuous-, discrete- and sampled-data- H∞ control - a unified framework

Christiansson, Anna-Karin,1947-Högskolan Väst,Avd för automation och datateknik (author)

Continuous-, discrete- and sampled-data- H∞ˆž control - a unified framework

We present a unified and general framework for H∞-control in both continuous time, discrete time and combinations of these. The general result is a hybrid continuous-/discrete-time H∞ˆž-controller. Using a compact hybrid notation, the work shows a close relationship between the continuous-and discrete-time solutions. In fact, the pure continuous and discrete time equations may be obtained as two similar interpretations of the general result. There are no assumptions made on certain system matrices being zero or normalised, e.g. D11 = 0. The method is Riccati equation (RE) based, and it is shown how the continuous REs can be "lifted" into discrete ones reflecting the system behaviour during the period. Typical applications are control of continuous-time or discrete-time periodic systems, as well as multirate and sampled-data control, including mixed continuous and sampled-data measurements.

TEKNIK OCH TEKNOLOGIER Elektroteknik och elektronik Reglerteknik hsv//swe
ENGINEERING AND TECHNOLOGY Electrical Engineering, Electronic Engineering, Information Engineering Control Engineering hsv//eng
Control system synthesis; Discrete time control systems; Feedback; Matrix algebra; Riccati equations; Sampled data control systems; Time varying systems
Discrete time periodic systems; Hold-states; Output feedback
Optimal control systems
Produktions- och materialteknik
Manufacturing and materials engineering

Lennartson, BengtChalmers University of Technology, Control Engineering Lab, SE-41 2 96 Goteborg, Sweden (author)
Toivonen, H.Åbo Akademi University, Department of Chemical Engineering, FIN-20500 Abo, Finland (author)
Högskolan VästAvd för automation och datateknik (creator_code:org_t)

By the author/editor: Christiansson, A ...; Lennartson, Beng ...; Toivonen, H.

About the subject

ENGINEERING AND TECHNOLOGY: ENGINEERING AND ...; and Electrical Engin ...; and Control Engineer ...

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