基于扩张状态观测器七阶混沌振荡电力系统的滑模变结构控制

To suppress chaotic oscillation in seven dimensional power system model, a simple sliding mode variable structure control scheme is proposed based on the existing extended state observer. By introducing dynamic models of energy storage devices for the power system model, a complex controlled ten-dimensional power system dynamic model is constructed. After defining sliding mode functions for the controlled power system, chaos control problem can be reduced to the stabilization problem of three first-order nonlinear systems. In order to stabilize these first-order systems, extended state observers and control inputs are designed and it is proved that the state variables can converge to the neighborhood of the origin in finite time under designed control inputs. Finally, the effectiveness of designed extended state observers and chaos controllers are verified by simulation. Based on the existing extended state observer, the designed control inputs do not contain derivatives of complex controlled system functions, and effectively improve their engineering practicability.