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Control of sampled data systems with variable sampling rate

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journal contribution
posted on 24.10.2008 by Michael Schinkel, Wen-Hua Chen
This paper addresses stability and performance of sampled-data systems with variable sampling rate, where the change between sam- pling rates is decided by a scheduler. A motivational example is pre- sented, where a stable continuous time system is controlled with two sampling rates. It is shown that the resulting system could be unsta- ble when the sampling changes between these two rates, although each individual closed-loop system is stable under the designed controller that minimizes the same continuous loss function. Two solutions are presented in this paper. The ¯rst solution is to impose restrictions on switching sequences such that only stable sequences are chosen. The second solution presented is more general, where a piecewise constant state feedback control law is designed which guarantees stability for all possible variations of sampling rate. Furthermore, the performance definedn by a continuous time quadratic cost function for the sampled-data system with variable sampling rate can be optimised using the proposed synthesis method.

History

School

  • Aeronautical, Automotive, Chemical and Materials Engineering

Department

  • Aeronautical and Automotive Engineering

Citation

SCHINKEL, M. and CHEN, W-H., 2006. Control of sampled data systems with variable sampling rate. International journal of systems science, 37 (9) pp. 609-618

Publisher

© Taylor & Francis

Publication date

2006

Notes

This is a journal article. It was published in the journal, International journal of systems science [© Taylor & Francis] and the definitive version is available at: http://www.informaworld.com/openurl?genre=article&issn=0020-7721&volume=37&issue=9&spage=609

ISSN

0020-7721

Language

en

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