Liu, Jiang; Zhang, Long; Jiang, Zhongchuan; Li, Yanqing Synchronous control on inverter system of grid connected high-power wind generators with nonlinear and pulse disturbance. (Chinese. English summary) Zbl 1399.93092 Appl. Math., Ser. A (Chin. Ed.) 32, No. 4, 388-402 (2017). Summary: A kind of synchronization control problems of grid system connected high-power wind generators with nonlinear pulse disturbance was investigated in this paper. By using the Kirchhoff’s law, a class of mathematical model of grid side converter system of wind generators was established. Meanwhile, an appropriate feedback synchronization controller was designed. By the theory of Lyapunov stability, the effectiveness of synchronous controller was validated. In order to restrain the nonlinear pulse disturbance in grid system connected with wind generators, and make the current generated by wind generators synchronize the current in grid, an optimal algorithm was given. Finally, the theoretical results were demonstrated by the Simulink in Matlab. MSC: 93B52 Feedback control 93C10 Nonlinear systems in control theory 93C15 Control/observation systems governed by ordinary differential equations 93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory 93C85 Automated systems (robots, etc.) in control theory Keywords:nonlinear pulse disturbance; Lyapunov functions; feedback synchronization controller; error systems Software:Matlab PDFBibTeX XMLCite \textit{J. Liu} et al., Appl. Math., Ser. A (Chin. Ed.) 32, No. 4, 388--402 (2017; Zbl 1399.93092)