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Switched Control for Quantized Feedback Systems: Invariance and Limit Cycle Analysis
Mälardalen University, School of Innovation, Design and Engineering, Embedded Systems. Politecn Milan, Milan, Italy.ORCID iD: 0000-0002-1364-8127
Politecn Milan, Milan, Italy.
Politecn Milan, Milan, Italy.
Politecn Milan, Milan, Italy.
2018 (English)In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 63, no 11, p. 3775-3786Article in journal (Refereed) Published
Abstract [en]

We study feedback control for a discrete-time integrator with unitary delay in the presence of quantization both in the control action and in the measurement of the controlled variable. In some applications the quantization effects can be neglected, but when high precision is needed, they have to be explicitly accounted for in control design. In this paper, we propose a switched control solution for minimizing the effect of quantization of both the control and controlled variables for the considered system, that is quite common in the computing systems domain, for example, in thread scheduling, clock synchronization, and resource allocation. We show that the switched solution outperforms the one without switching, designed by neglecting quantization, and analyze necessary and sufficient conditions for the controlled system to exhibit periodic solutions in the presence of an additive constant disturbance affecting the control input. Simulation results provide evidence of the effectiveness of the approach.

Place, publisher, year, edition, pages
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC , 2018. Vol. 63, no 11, p. 3775-3786
Keywords [en]
Computing system design, limit cycle, practical stability, quantized feedback control, switched control
National Category
Computer Systems
Identifiers
URN: urn:nbn:se:mdh:diva-41301DOI: 10.1109/TAC.2018.2797246ISI: 000448499500011Scopus ID: 2-s2.0-85041005532OAI: oai:DiVA.org:mdh-41301DiVA, id: diva2:1261845
Available from: 2018-11-08 Created: 2018-11-08 Last updated: 2019-01-04Bibliographically approved

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Papadopoulos, Alessandro

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CiteExportLink to record
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