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In this book, two robust control methods, based on Quantitative
Feedback Theory (QFT) and Linear Matrix Inequalities (LMIs), are
proposed. These methods allow to obtain simple and systematic
procedures to synthesize control laws for uncertain dc-dc
converters that require high levels of performance. The first
method proposed in the book, based on the QFT technique, allows to
obtain controllers with large control bandwidth and custom-shaped
input-output responses. The method has been applied to the robust
control of power conditioning units satisfying a well-known
industry standard. The second design method is based on the LMI
control problem formulation. With this method, the designer can
take into account the transient characteristics and perturbation
rejection properties of the converter, while assuring the robust
stability despite the uncertainties and the nonlinearities of the
converter. Since it is based on LMIs, this method allows to
synthesize robust controllers automatically, using optimization
algorithms. Both methods have been verified with experimental
prototypes that confirm the practical feasibility of such robust
control techniques in the area of power converters.
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