基于故障诊断观测器的非线性时滞时变奇异系统的容错控制

Fault-tolerant control for nonlinear singular systems with time-varying delay based on fault diagnosis observer

为了解决控制理论中的系统安全性与可靠性问题,考虑到时滞时变普遍存在于此类系统中,沿着故障诊断和容错控制解决问题的思路,针对基于故障诊断观测器的非线性时滞时变奇异系统的容错控制问题进行研究,构造了一种新型的故障诊断观测器,结合Lyapunov稳定性理论研究了故障诊断观测器的状态估计误差,构建了状态反馈的容错控制器,利用Schur补引理以及一些基本的控制理论得到了故障诊断观测器和容错控制器存在的线性矩阵不等式(LMI)的充分条件,确定了闭环系统的稳定并且符合所给定的性能指标。通过Matlab仿真实例验证了所提方法的简便性以及实用性。此方法很好地克服了系统中存在的非线性、扰动以及时滞时变问题。

In order to solve the security and reliability problems of the system control in the control theory,considering that time-varying delay is widespread in many systems,thinking about solving problems by fault diagnosis and fault-tolerant control,and aiming at the study of fault-tolerant control of nonlinear time-delay singular systems based on fault diagnosis observers,a new fault diagnosis observer is constructed.With the Lyapunov stability theory,the fault diagnosis observer state estimation error is researched.Then,the state feedback fault-tolerant controller is designed.Using Schur lemma and some basic control theories,the sufficient conditions for linear matrix inequality（LMI）existed in fault diagnosis observer and fault tolerant controller are obtained.The closed-loop system is guaranteed to be stable and satisfies the given performance index.Finally,the Matlab simulation example is given to illustrate the simplicity and practicability of the proposed method,which overcomes effectively problems existed in the system such as：nonlinearity,destabilization,and time-varying delay.