具有积分测量和时延的离散线性变参数系统故障与状态估计

Fault and state estimation for discrete-time linear parameter-varying systems with integral measurements and time-delay

故障检测与诊断(FDD)技术可以有效地提高系统的安全性和可靠性,因此受到越来越多的关注.目前,关于离散系统的状态和故障估计问题的研究还不够充分.本文针对具有积分测量和时延的线性变参数(LPV)系统,提出了一种同时估计执行器/传感器故障和状态的方法.首先,系统当前状态、系统延迟状态和传感器故障构造一个扩维状态,得到广义离散LPV系统.其次,给出了该观测器存在的充分条件并证明观测器是H_(∞)稳定的.然后,将系统状态、执行器和传感器故障的同时估计转化为矩阵不等式的求解问题,给出了观测器待设计矩阵的计算过程.最后,通过仿真验证了该方法的有效性.

Fault detection and diagnosis(FDD) technology can effectively improve the security and reliability of systems, and hence it has received more and more attention. Currently, the research on state and fault estimation of discrete systems is not enough. In this paper, a method is presented to simultaneously estimate actuator/sensor faults and states for a class of discrete-time linear parameter-varying(LPV) systems with integral measurements and time-delay. First, the current state of the system, the delay state of the system and the sensor fault construct an extended dimension state to obtain the generalized discrete LPV system. Next, a constructive sufficient condition is presented and proved for the stability of the proposed observer. Then, the simultaneous estimation of the actuator/sensor faults and system state is transformed into the solution of linear matrix inequalities, and the calculation procedure of observer gains is given. Finally, an example validates the effectiveness of the proposed method.