| In this thesis, analysis of discrete mode and study on chaos control for DC-DC converters are emphasis studied, and contents of study are as follow: First, definition and characteristics about chaos are summed up, several methods for study chaos are discussed, bifurcation and dynamic stability theory is summarized. Linear analytical and linear control methods are compendium. Meaning and present status about analysis of discrete map mode on DC-DC converters and their chaos control are generalized. Second, establishing of discrete map mode on DC-DC converters and the work of bifurcation and Jacobian matrix to analyze their non-linear dynamics is studied. Stability on open and close loop converters discrete map mode is studied. Third, discrete map mode on current-programmed mode buck-boost converter is established. Non-linear dynamic nature by taking reference current as first bifurcation parameter and output capacity as second bifurcation parameter is studied, stability on this converter working in CCM is studied by Jacobian matrix. Forth, stability of voltage-mode DC-DC converters is studied, bifurcation onset when the circuits lose stability is predicted, and for voltage-mode DC-DC converter an example, theory analysis and numerical calculation well coincident with each other. Fifth, resonant parameter perturbation to control chaos of current-programmed buck-boost converter is studied. The research results show that chaos of circuits can be effective controlled by choosing appropriate disturbed frequency and amplitude. Moreover, modification of phase also has an direct effect on control. State rate pulse feedback method to control chaos of voltage-mode buck converter is studied. It is found that the circuit can be control to a series of periodic orbits by choosing proper control gain and pulse interval, meanwhile, proto-tape of dynamics isn't altered. At last circuit simulation is proceeded, which test and verify validity of this method.
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