By Guanrong Chen, David John Hill, Xinghuo Yu
Bifurcation keep an eye on refers back to the job of designing a controller which may regulate the bifurcation houses of a given nonlinear procedure, with the intention to in achieving a few fascinating dynamical behaviors. There exists no related keep an eye on theory-oriented ebook out there that's dedicated to the topic of bifurcation regulate, written through regulate engineers for keep watch over engineers. World-renowned top specialists within the box offer their state of the art survey concerning the huge study that has been performed over the past few years during this topic. The ebook is not just aimed toward lively researchers within the box of bifurcation keep watch over and its purposes, but additionally at a common viewers in similar fields.
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Additional info for Bifurcation Control: Theory and Applications
The robust stability of the equilibrium z0 requires that the parameters are sufficiently far from Σ. For a one dimensional parameter space (m = 1), Σ is a point and is easily specified. For a two dimensional parameter space, Σ includes one dimensional curves and it is clear, at least graphically, how to specify Σ and stay sufficiently far from Σ. However, most practical engineering problems and some G. J. Hill, and X. ): Bifurcation Control, LNCIS 293, pp. 49–66, 2003. Springer-Verlag Berlin Heidelberg 50 I.
Based on results of our bifurcation analysis, we demonstrate an interesting practical behaviour of this popular type of PFC converters, to which traditional theory offers no simple explanation. 2. Illustration of current-mode control showing inductor current (a) without and (b) with ramp compensation Review of Operation and Bifurcation Analysis Basic operation Consider the boost converter shown in Fig. 1. The switch is turned on periodically, and off according to the output of a comparator that compares the inductor current with a reference level Iref .
K. Tse and O. Dranga 4 Application Example: Power-Factor-Correction Boost Converter In the foregoing, we have described the application of ramp compensation in controlling bifurcation in dc/dc converters under current-mode control. In practice, the current-mode controlled converter also finds application in shaping the input current. In fact, the so-called boost rectifier or power-factor-correction (PFC) converter is effectively a current-mode controlled boost converter . The circuit schematic is shown in Fig.
Bifurcation Control: Theory and Applications by Guanrong Chen, David John Hill, Xinghuo Yu