Period dependent averaging of a class of pulse modulated systems. Application to the cardiovascular system
- Authors
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Alexandru Codrean
Universitatea Politehnica Timisoara
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Toma Leonida Dragomir
Universitatea Politehnica Timisoara
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- Abstract
- In approximating nonlinear systems, averaging theory provides very useful tools, which permit one to obtain simpler mathematical models. The current paper addresses the problem of averaging pulse-frequency modulated systems with constant duty ratios, whose trajectories exhibit a moving average dependent on the modulation period. Because for such systems conventional averaging methods lead to period - independent averaged models, the paper proposes a period-weighted averaging approach, which leads to a period - dependent averaged model (simpler than the original one). The proposed averaging method is further used in a case study involving the cardiovascular system (regarded as a pulse-frequency modulated system). Finally, simulation results illustrate the effectiveness of the proposed averaging method.
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- Published
- 2015-03-28
- Issue
- Vol. 17 No. 1 (2015)
- Section
- Articles