基于发电单元完整模型的backstepping控制

摘要

According to a complete high-order nonlinear mathematical model (boiler,turbine and generator model)of the power generation unit system with parameter uncertainties,a self-adaptive robust controller was designed based on backstepping dynamic surface control method.A virtual controller and one-order low-pass filter were introduced in backstepping design procedure,to avoid complexity of the algorithm caused by many times differentiation of the nonlinear model,which simplifies the design.Theoretical analy-sis and simulation results show that,the controller can ensure the semi-global asymptotical stability of the closed-loop system.For the system's parameter uncertainty,this controuer has strong robustness and can ensure stable operation when the system is out of order.%针对发电单元高阶非线性完整数学模型(锅炉、汽轮机和发电机模型)，结合系统参数的不确定性，采用backstepping动态面控制方法设计了一种鲁棒自适应控制器。在反推设计过程中引入了虚拟控制器和一阶低通滤波器，从而避免了对模型非线性进行多次微分而引起的算法复杂性，使设计方法简化。理论分析和仿真结果均表明，该控制器能够保证闭环系统的半全局渐近稳定性，对系统参数的不确定性具有较强的鲁棒性，在系统发生故障时能够使系统稳定运行。