a time-domain asymptotic approach to predict saddle-node and period doubling bifurcations in pulse width modulated piecewise linear systems
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ID: 229048
2014
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Abstract
In this paper closed-form conditions for predicting the boundary of period-doubling (PD) bifurcation or saddle-node (SN) bifurcation in a class of PWM piecewise linear systems are obtained from a time-domain asymptotic approach. Examples of switched system considered in this study are switching dc-dc power electronics converters, temperature control systems and hydraulic valve control systems among others. These conditions are obtained from the steady-state discrete-time model using an asymptotic approach without resorting to frequency-domain Fourier analysis and without using the monodromy or the Jacobian matrix of the discrete-time model as it was recently reported in the existing literature on this topic. The availability of such design-oriented boundary expressions allows to understand the effect of the different parameters of the system upon its stability and its dynamical behavior.
| Reference Key |
a.2014mateca
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| Authors | ;El Aroudi A. |
| Journal | acta botânica brasílica |
| Year | 2014 |
| DOI |
10.1051/matecconf/20141608004
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