针对线性参数变化(Linear Parameter Varying,LPV)系统的故障检测问题,采用H-/H∞混合优化方法,对基于LPV模型的鲁棒故障观测器(rtvpo)进行设计,基于离散的参数依赖李亚普诺夫函数,得到了系统的LPV鲁棒故障观测器的综合条件,经过转化,观测器的设计问题被转化为一组线性矩阵不等式的求解问题;利用LMI工具求解线性矩阵不等式,得到了系统的LPV鲁棒故障观测器。最后,通过在一点上对故障输入的非线性仿真,验证了该方法的有效性。
The H-/H∞ mixed optimization approach is adapted to design LPV Robust Fault Detection Observer(RFDO) for LPV systems.The synthesis condition of constructing LPV RFDO is achieved based on discrete parameter dependent Lyapunov function. The synthesis condition is transfered into linear matrix inequalities by transformation and convexification and LPV RFDO can be constructed by solving LMIs using LMI tools.Finally,the method is tested on a point of nonlinear simulation with fault input.