In this paper, the problem of voltage regulation of DC–DC buck converter with unknown constant power load (CPL) and input voltage is addressed. A power shaping controller (PSC) based on the passivity theory is proposed to stabilize this system. In addition, borrowing immersion & invariance (I&I) technique, an observer can be designed to estimate CPL and input voltage simultaneously. By combining PSC with I&I observer, an adaptive control scheme is achieved. Besides, the estimate of the domain of attraction is given to rigorously guarantee the convergence property by virtue of the invariant set theory. Then, the locally asymptotic stability of the closed-loop system is established. Finally, the simulation and experimental results show the effectiveness of the proposed control method.

在本文中，解决了具有未知恒定功率负载 (CPL) 和输入电压的 DC-DC 降压转换器的电压调节问题。提出了一种基于被动理论的功率整形控制器 (PSC) 来稳定该系统。此外，借用浸入式和不变性 (I&I) 技术，可以设计一个观察器来同时估计 CPL 和输入电压。通过将 PSC 与 I&I 观测器相结合，实现了自适应控制方案。此外，通过不变集理论，给出了对吸引域的估计，以严格保证收敛性。然后，建立闭环系统的局部渐近稳定性。最后，仿真和实验结果表明了所提出的控制方法的有效性。