离散非线性系统状态和故障估计

摘要

For the discrete-time Lipschitz nonlinear system subjected to actuator and sensor faults, an observer which can be used to estimate system state, actuator fault and sensor fault simultaneously is investigated.Firstly, the original system is transformed into a descriptor system without sensor fault via state vector extension.Then, a proportional integral observer is proposed to estimate descriptor system states and actuator fault simultaneously.Finally, the problem of the observer design is formulated as solving a linear matrix inequation.The numerical simulation results show that, the proposed method is correct and effective.Compared with some existing methods, the proposed method is efficient, and has wider application scope.%针对同时含有执行器故障和传感器故障的离散Lipschitz非线性系统,提出一种可以同时估计系统状态、执行器故障和传感器故障的观测器设计方法.首先,通过系统状态向量的扩展,将原系统化为形式上不含传感器故障的广义Lipschitz非线性系统;然后,对得到的广义系统设计可以同时估计系统状态和执行器故障的观测器;最后,将观测器设计过程化为求解线性矩阵不等式的形式.仿真结果表明,所提方法具有有效性、正确性以及优越性.相较于现有很多方法,所提方法具有高效快捷的特点,具有较强的实用性.