Stability of control systems with variable time-delay

Rudolf Tracht; Marc Thorausch

doi:10.1117/12.522101

2 September 2003 Stability of control systems with variable time-delay

Rudolf Tracht, Marc Thorausch

Proceedings Volume 5253, Fifth International Symposium on Instrumentation and Control Technology; (2003) https://doi.org/10.1117/12.522101
Event: Fifth International Symposium on Instrumentation and Control Technology, 2003, Beijing, China

Abstract

In modern automated systems decentralized concepts are used. Information is communicated via networks as for instance fieldbus systems or industrial ethernet. Since often many users access to the bus, communication time is varying. In most cases this is not critical but for some aplications stability problems are introduced by the varying time-delay. Such applications can be modeled by control loops with a time varying delay block. Different methods were proposed in the last two years for analyzing control systems of this type. Usually state space models are investigated and linear matrix inequalities (LMI) must be solved. The stability region depends not only on the value of the delay time but also on the time-derivative of the variable delay-time. In the paper a new approach for analyzing stability is presented: The control system with delay is considered in the frequency domain. A stability criterion for systems with periodic varying time-delay is derived. By using a suitable transformation more general delay systems can be investigated. The method is illustrated by an example and simulation studies.

Citation Download Citation

Rudolf Tracht and Marc Thorausch "Stability of control systems with variable time-delay", Proc. SPIE 5253, Fifth International Symposium on Instrumentation and Control Technology, (2 September 2003); https://doi.org/10.1117/12.522101

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