In this paper, a digital control algorithm based on delta-operator is presented for high-frequency digitally-controlled DC-DC switching converters. The stability and the controlling accuracy of the DC-DC switching converters are improved by using the digital control algorithm based on delta-operator without increasing the hardware circuit scale. The design method of voltage compensator in delta-domain using PID (Proportion-Integration- Differentiation) control is given in this paper, and the simulation results based on Simulink platform are provided, which have verified the theoretical analysis results very well. It can be concluded that, the presented control algorithm based on delta-operator has better stability and controlling accuracy, and easier hardware implementation than the existed control algorithms based on z-operator, therefore it can be used for the voltage compensator design in high-frequency digitally- controlled DC-DC switching converters.<\/p>\r\n","references":"[1]\tC. Shi., B. C., Walker., et al., \"A highly integrated power management IC for advanced mobile applications,\" IEEE Journal of Solid-State Circuits, vol. 42, pp. 1723-1731, 2007.\r\n[2]\tTao Zhou; Jianping Xu; Francois, B., \"Analog-to-digital converter architectures for digital controller of high-frequency power converters,\" IEEE Industrial Electronics, IECON 2006 - 32nd Annual Conference on, pp.2471-2476, Nov. 2006.\r\n[3]\tM. F. N. Tajuddin, N. A. Rahim, I. Daut, et al., \"State space averaging technique of power converter with digital PID controller,\" in TENCON 2009 - 2009 IEEE Region 10 Conference, pp. 1-6, 2009.\r\n[4]\tF. Kurokawa, Y. Maeda, Y. Shibata, et al., \"A new fast digital PID control dc-dc converter,\" in Power Electronics and Motion Control Conference (EPE\/PEMC), 2010 14th International, pp. S13-15-S13-19, 2010.\r\n[5]\tQian Long-jun, Guo Zhi, \u201cOn Satisfactory Control of Continuous Time Systems with Delta Operator induced Discrete Models\u201d, Control and Decision, Dec. 2005.\r\n[6]\tJi Zhi-cheng, Zhao Wei-yi, Xie Lin-Bo, \u201cOptimal Control of Networked Control System Using DOperator\u201d, Control and Decision, Vol. 21 No. 12, Dec. 2006\r\n[7]\tHori. N, Mori. T, \u201cA New Perspective for Discrete Time Models of a Continuous Time System,\u201d IEEE Trans. Automat. Contr., 1992, AC-37 (7: 1013-1017).\r\n[8]\tPermaratne. K, July. K. I, \u201ctabular Method for Determining Root Distribution of Delta Operator Formulated Real Polynomials,\u201d IEEE Tran. Automat. Contr., 1994, AC-39(2): pp. 352-355.\r\n[9]\tLi Hui-guang, Wu Bo, Li Guo-you, et al. Delta operator control and its robust control theory basis (M). Beijing: National Defense Industry Press, 2005.\r\n[10]\tM iddleton R H, Goodwin G C. Improved Finite Word Length Characteristics in Digital Control Using Delta Operators (J). IEEE T rans on Automatic Control, 1986, 31(11): 1015-1021.\r\n[11]\tMiddleton R H, Goodwin G C. Digital Control and Estimation: A Unified Approach (M). NJ: Prentice Hall, 1990","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 119, 2016"}