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Theoretical and experimental analysis of a simple PWM‐1 controlled interrupted electric circuit
Author(s) -
Asahara Hiroyuki,
Kousaka Takuji
Publication year - 2014
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.1837
Subject(s) - bifurcation , control theory (sociology) , electronic circuit , pulse width modulation , invariant (physics) , period doubling bifurcation , interval (graph theory) , bifurcation theory , mathematics , voltage , computer science , physics , nonlinear system , quantum mechanics , combinatorics , mathematical physics , control (management) , artificial intelligence
In this paper, we analyze a simple PWM‐1 controlled interrupted electric circuit in order to essentially understand the circuit fundamental characteristics. First, we explain the circuit dynamics, and then we define the return map by using the exact solution. Next, we focus on the existence region of the solution (invariant interval) and bifurcation phenomena in the circuit. In particular, we find the circuit has three types of the invariant interval depending on the parameter. We also clarify that the period‐doubling bifurcation and the border‐collision bifurcation effect in the existence region of the periodic solution in a wide parameter plane. Finally, the mathematical results are verified by the laboratory experiment. Copyright © 2012 John Wiley & Sons, Ltd.