基于T-S模型的主动磁轴承系统的鲁棒控制

T-S model-Based Robust Control of Active Magnetic Bearings Systems

针对磁轴承为典型的复杂非线性系统,其结构参数具有时变性的特点,对非线性系统的不同区域的动态,利用T-S模糊模型建立局部线性模型,然后把各个局部线性模型用隶属函数连接起来,得到整体的模糊非线性模型;进而,基于此模型进行系统的定性分析及控制设计;通过使用Lyapunov函数方法、线性矩阵不等式(LMI)方法和并行分布补偿(PDC)方法,导出了相应的稳定性条件及H∞控制器的设计方法;仿真结果表明,此设计方法使得系统具有更好的鲁棒性和快速性,满足磁轴承系统实时控制的要求,具有良好的控制品质。

In this article, the parameters Based on the structural of magnetic bearing system changes with time and was a typical complex nonlinear system characteristic, for different areas of the nonlinear system dynamic, using t-- s fuzzy model to establish in the local linear model, and then each local linear model connected with membership functions, got the whole fuzzy nonlinear model. Then, based on this model does qualitative analysis and control system design, through the use of Lyapunov function method and linear matrix inequality （LMI） and the parallel distributed compensation （PDC） method, deduced corresponding and h--infinity controller design method. The simulation results show that this design method makes the system has better robustness and faster to meet the requirements of real--time control, with good control quality.