Dynamic systems behaviour analysis and design based on the qualitative theory of differential equations: The Boost power converter case
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Date
2015-06-03
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TAYLOR AND FRANCIS LTD.
Abstract
This paper uses the qualitative theory of differential equations to analyse/design the dynamic behaviour of control systems. In particular, the Poincaré compactification and the Poincaré - Hopf theorem are used for analysing the local dynamics near the finite and infinite equilibrium points. As an application, a large signal characterisation of a Boost type power converter in closed loop, including its equilibrium/bifurcation points and its global dynamics, which depends upon the value of the load resistance, is studied.
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Keywords
Control Theory, Nonlinear Systems, Poincaré Compactification, Power Converters, Topological Index