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Part of: Synthesis digital library of engineering and computer science.

Includes bibliographical references (pages 59-62).

1. Modeling uncertainties for a buck converter -- 1.1 Introduction -- 1.2 Uncertainty model -- 1.2.1 Parametric uncertainty -- 1.2.2 Unstructured uncertainty -- 1.2.3 Structured uncertainty -- 1.3 Robust control -- 1.3.1 Kharitonov's theorem -- 1.3.2 H[infinity] control -- 1.3.3 [mu] synthesis -- 1.4 Dynamics of a buck converter without uncertainty -- 1.5 Effect of component variations -- 1.6 Obtaining the unstructured uncertainty model of the converter -- 1.7 Obtaining the interval plant model of the converter -- 1.8 Obtaining the unstructured uncertainty model of the converter using PLECS® -- 1.9 Conclusion -- References --

2. Modeling uncertainties for a zeta converter -- 2.1 Introduction -- 2.2 The zeta converter -- 2.3 Calculation of steady-state operating point of the converter -- 2.4 Drawing the voltage gain ratio -- 2.5 Obtaining the small signal transfer functions of converter -- 2.6 Effect of load changes on the small signal transfer functions -- 2.7 Extraction of additive/multiplicative uncertainty models -- 2.8 Upper bound of additive/multiplicative uncertainty models -- 2.8.1 Extraction of uncertainty weights using the manual method -- 2.8.2 Extraction of uncertainty weights using the MATLAB® Ucover command -- 2.9 Testing the obtained uncertainty weights -- 2.10 Effect of components tolerances -- 2.11 Obtaining the uncertain model of the converter in precence of components tolerances -- 2.12 Testing the obtained uncertainty weights -- 2.13 Calculating the maximum/minimum of the transfer function coefficients -- 2.14 Analyzing the system without uncertainty -- 2.15 Audio susceptibility -- 2.16 Output impedance -- 2.17 Using the PLECS® to extract the uncertain model of the DC-DC converters -- 2.17.1 Additive uncertainty model -- 2.17.2 Multiplicative uncertainty model -- 2.18 Conclusion -- Authors' biographies.

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Modeling is the process of formulating a mathematical description of the system. A model, no matter how detailed, is never a completely accurate representation of a real physical system. A mathematical model is always just an approximation of the true, physical reality of the system dynamics. Uncertainty refers to the differences or errors between model and real systems and whatever methodology is used to present these errors will be called an uncertainty model. Successful robust control-system design would depend on, to a certain extent, an appropriate description of the perturbation considered. Modeling the uncertainties in the switch mode DC-DC converters is an important step in designing robust controllers. This book studies different techniques which can be used to extract the uncertain model of DC-DC converters. Once the uncertain model is extracted, robust control techniques such as H1 and synthesis can be used to design the robust controller. The book composed of two case studies. The first one is a buck converter and the second one is a Zeta converter. MATLAB® programming is used extensively throughout the book. Some sections use PLECS® as well. This book is intended to be guide for both academicians and practicing engineers.

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Title from PDF title page (viewed on November 28, 2018).