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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Gregoire, L.-A. Sleiman, M. Blanchette, H.F. Al-Haddad, K. |
| Copyright Year | 2015 |
| Abstract | This paper proposes a method to analyse stability of multi-rate system. Multi-rate systems are used to simulate different part of the circuit with different sampling rate. This allows to reduce computational burden of stiff system; by choosing the most appropriate time-step according to the time constant of the phenomena studied. Traditionally, stability of discrete system is done by studying the eigenvalues of the system which can only uses a single sampling time and therefore cannot be applied to multi-rate systems. Many examples, where simulation is done with multiple rate, can be found in literature with no proof of stability other than simulation results. In this paper, multi-rate system are first represented as non-linear system using a single time-step and their stability is then demonstrated using Lyapunov's theorem. The proposed method is supported by a numerical example. |
| Starting Page | 2537 |
| Ending Page | 2541 |
| File Size | 5013609 |
| Page Count | 5 |
| File Format | |
| ISBN | 9781479978007 |
| DOI | 10.1109/ICIT.2015.7125472 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2015-03-17 |
| Publisher Place | Spain |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Mathematical model Stability analysis Numerical stability Computational modeling Integrated circuit modeling Circuit stability Real-time systems discrete system Multi-rate simulation Lyapunov's stability |
| Content Type | Text |
| Resource Type | Article |
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