Power conversion technology has been used in a great variety of products in modern society, such as industrial equipment, computers, communication devices, aerospace electronics, portable electronics devices and etc. The corresponding equipment can be divided into four groups, AC-AC converters, AC-DC rectifiers, DC-DC converters and DC-AC inverters. The production of DC-DC converters gets large percentage of the total turnover of all conversion equipment production. Study of DC-DC converters has always been a hot research area due to many reasons which include (1) the technical challenges keep coming due to the wide application of DC-DC converters, and (2) they are highly nonlinear systems which increase the difficulty for modeling and control. Modeling and control are two important issues when a DC-DC converter is being investigated. In this thesis, generalized state-space modeling, especially reduced-order state-space modeling method, is used to describe the main characteristics of the advanced DC-DC converters. Sliding Mode (SM) control, as a variable structure control, is very suitable for DC-DC converters which are variable structures basically. An improved SM controller is designed and applied to positive output super-lift converter. The theoretical analysis and experimental results show the improved SM controller can largely suppress the output voltage error and get satisfactory steady state and transient performances. In the traditional DC-DC converters (buck, boost, Ćuk, SEPIC…), the effect of parasitic elements comes into picture at high duty cycle U, so the practical value of U has an upper limit. It is difficult to operate at high duty cycles and hence to achieve high voltage transfer gains in those traditional DC-DC converters mentioned above. A stepdown or step-up transformer used in the converters can cause switching surges. Cascade connection of two or more traditional converters has the difficulty of the control because of multiple switches in different stages besides the increased power loss increase. With the fast development of technologies, this disadvantage limits the further applications of those Summary vi traditional converters in some areas that require higher voltage transfer gains such as renewable energy systems. Therefore, an in-depth research on advanced DC-DC power conversion topologies used in renewable energy systems is the main part of this thesis. Compared to the traditional converters with simple structures, advanced DC-DC converters are named because they usually have higher-order structures with new techniques involved, such as Voltage-Lift (VL) technique, Switched-Inductor (SI) Switched-Capacitor (SC) structures. Voltage-Lift (VL) technique is an effective method that is widely applied in electronic circuit design, especially in the radio engineering. It also can be utilized to improve the performance and characteristics of DC-DC converters. A set of Voltage-Lift Split-Inductor-type boost converters is described in this thesis, which can get much higher stepup voltage trans...