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基于线性矩阵不等式的水电机组调节系统滑模容错控制

Sliding-mode Fault-tolerant Control of Hydropower Unit Regulation System Based on Linear Matrix Inequalities

  • 摘要: 针对水电机组调节系统中存在的控制不确定性与干扰,提出了基于线性矩阵不等式的状态反馈滑模容错控制策略。首先,建立了水电机组调节系统状态空间模型,并结合该模型对控制律进行设计;然后,利用基于线性矩阵不等式的等效控制原理实现滑模容错控制算法设计,提高调节系统的控制性能与可靠性。最后,根据线性矩阵不等式理论和Lyapunov稳定性定理对控制器稳定性进行分析。仿真结果表明,所提滑模容错控制方法对引入控制不确定性与干扰的水电机组调节系统具有良好的适用性。

     

    Abstract: A state feedback sliding mode fault-tolerant control strategy based on linear matrix inequalities is proposed for the regulation system of hydropower units considering control uncertainties and disturbances. Firstly, a mathematical model of the regulation system of hydropower unit is established and the control law is designed with the model. Then, the sliding mode fault-tolerant control design is implemented based on the equivalent control principle of linear matrix inequality to improve the control performance and the reliability of the regulation system. In addition, the stability of the controller is analyzed based on the linear matrix inequality theory and Lyapunov stability criteria. The simulation results show that the sliding mode fault-tolerant control method can achieve better control effects for the regulation system of hydropower units with introduced control uncertainties and disturbances.

     

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