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Title: Control of sampled data systems with variable sampling rate
Authors: Schinkel, Michael
Chen, Wen-Hua
Keywords: Sampled-data Systems
Hybrid Systems
Stability
Performance
Issue Date: 2006
Publisher: © Taylor & Francis
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
Abstract: 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.
Description: 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
URI: https://dspace.lboro.ac.uk/2134/3804
ISSN: 0020-7721
Appears in Collections:Published Articles (Aeronautical and Automotive Engineering)

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