中文摘要：

应用一种新的端口受控哈密顿（PCH）系统方法，研究了Buck-Boost变换器的建模与PWM控制问题。首先，建立了Buck-Boost变换器的PCH系统数学模型。然后，利用互联和阻尼配置的能量成形方法，给出了Buck-Boost变换器的反馈镇定原理。根据其稳态特性确定了系统期望的平衡点，分析了Buck-Boost变换器平衡点的稳定性，最后设计了控制器。仿真结果表明，该控制器具有很好的性能和应用前景。

英文摘要：

Applying a novel method of Port-Controlled Hamiltonian （PCH） systems, the modeling and PWM control of Buck-Boost Converter are presented. First of all, a nonlinear mathematical model of BuckBoost Converter is established. Then, using the energy-shaping method of interconnection and damping assignment, the feedback stabilization theory of Buck-Boost Converter system is given. According to its peculiarity in steady state, the desired equilibrium of the system is obtained. The equilibrium stability is analyzed and Feedback stabilization controller is designed finally. The simulation results show that the proposed scheme has a good performance and practical use prospects.