Abstract: Voltage source inverter (VSI)-based higher-order circuits are widely applied in various industrial fields for their fast response and accurate control. The key to the successful application of the inverter is the steady-state performance, and the research focus is the control strategy. First, for one-to-four-order inverter circuit systems, the state space model is established in this paper, and then a novel sliding mode variable structure control strategy, fractional order PID sliding mode variable structure control algorithm, is introduced. And the simulation experiments show that the proposed fractional order PID sliding mode variable structure control has good control performance, such as, fast convergence rate, little tracking error and strong robust performance, so it has positive instruction significance for engineering practice.

Key words: Sliding mode variable structure control, fractional order PID, inverter, Matlab

摘要： 高阶电压型逆变器响应快速，控制精准，在工业领域应用广泛。逆变器稳态性能是应用成功之关键，其控制策略是研究重点。针对一至四阶电压型逆变器电路系统建立状态空间模型；并提出一种新型的滑模变结构控制策略：分数阶PID滑模变结构控制算法。仿真实验显示提出的分数阶PID滑模变结构控制具有优良的控制性能，如收敛速度快，误差小，鲁棒性强，对工程实践具有积极的指导意义。

关键词: 滑模变结构控制, 分数阶PID, 逆变器, Matlab