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

Sliding Mode Variable Structure Control for Seven-Dimensional Chaotic Power System Based on Extended State Observer

为抑制七阶电力系统中的混沌振荡,基于扩张状态观测器为其设计了形式简单的滑模变结构控制器。通过为电力系统模型引入储能装置的动态模型,最终构建了一个复杂的受控十阶电力系统动力学模型。为受控电力系统定义滑模函数后,可以将混沌控制问题归结为三个一阶非线性系统的镇定问题。为了镇定一阶非线性系统,为其设计了扩张状态观测器及控制输入,证明了在所设计控制输入的作用下能够使其状态变量以有限时间收敛于原点的邻域之内,并将所设计的扩张状态观测器及控制器用于电力系统混沌控制。最后,对扩张状态观测器的观测效果及控制器的控制效果进行了数值仿真分析。基于已有的扩张状态观测器设计方法,所设计的控制输入不包含受控电力系统复杂系统函数的导数项,从而有效提升了所设计控制器的工程实用性。

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.