基于预设性能的船舶直流微电网终端滑模反推控制

Terminal sliding mode backstepping control for ship direct current microgrid based on prescribed performance

为了解决船舶直流微网中负载突变带来的直流母线电压波动问题,本文首先在微网中引入混合储能系统并构建船舶直流微网的数学模型,接着采用一阶低通滤波的策略分配差额功率,最后设计了一种基于预设性能的终端滑模反推控制策略.在控制器中引入预设性能函数,使直流母线的跟踪误差按照预设的曲线进行快速收敛,定义跟踪误差的终端滑模面并利用反推的方法求解出控制器,最后对整个闭环控制系统的稳定性进行了证明.通过MATLAB/Simulink仿真,并与PI、反推控制策略进行对比,突显所设计的控制策略在稳定直流母线电压、减小调节时间、加快负荷响应速度等方面的有效性与优越性.

To solve the problem of DC bus voltage fluctuations caused by sudden load changes in the ship’s DC microgrid,this paper first introduces a hybrid energy storage system into the microgrid and builds a mathematical model of the ship’s DC microgrid,and then uses a first-order low-pass filtering strategy to allocate the differential power.Besides,a terminal sliding mode backstepping control strategy based on prescribed performance(PFTSMC)is designed.The prescribed performance function is introduced into the controller to ensure the tracking error of the DC bus can quickly converge according to the prescribed curve.Next,the terminal sliding mode surface of the tracking error is defined and the controller is solved by backstepping.Finally,the stability of the entire closed-loop control system is proved.Through MATLAB/Simulink simulation,and by comparing with PI and backstepping control(BC)strategy,the designed control strategy can stabilize DC bus,reduce adjustment time,and accelerate the speed of load response more effectively and efficiently.