中文摘要：

探索基于李雅普诺夫（Lyapunov）直接法的改进型非线性控制策略，结合Buck变换器，构建基本的状态变量误差项Lyapunov能量函数，引入新的比例型电压外环给定，省去外环积分环节以提高系统的动态响应，导出满足系统稳定收敛的控制方程。并在电流内环控制中引入基于负载电流前馈构建的纹波补偿环节，纹波调节方式提升了内环的动态响应，通过匹配控制参量系数达到输出的近似稳态无差。此外，基于系统的小信号线性模型给出控制参数的选取及系统的性能分析。应用积分复位思想，构建出等效的模拟控制电路，给出有关的仿真实验结果，验证了所提控制的有效性。

英文摘要：

An improved nonlinear control strategy based on the Lyapunov direct method was discussed in this paper. An energy-like function was constructed with the errors of the basic state variables, and then the control equation satisfied the convergence of the system was derived. Through eliminating the integral term of the voltage loop and introducing the improved proportion voltage loop to improve the dynamic response of the system. In additional, the ripple compensation based on the load current feed-forward was introduced to improve the dynamic of the inner current loop, and the matching parameters were selected to guarantee the steady state precision. Moreover, the system performance analysis and selection of the control parameters were presented based on the small-signal model. An equivalent analog control circuit was obtained by using the integral reset control circuit and a simplified voltage loop. The simulation and experimental results give finally confirm the validity of the proposed control.