This paper focuses on the observer-based fault-tolerant control problem for the discrete-time nonlinear systems with the perturbation and the fault signals. First, the nonlinear term with perturbation is put into the local nonlinear part so that the nonlinear system with perturbation can be described as an interval type-1 (IT1) T-S fuzzy system. Then, based on the unknown input observer technology, the IT1 T-S fuzzy fault estimation (FE) observer scheme is presented to obtain the real-time FE information and decouple the local nonlinear part from the estimation error system, where the design complexity and the computational burden are reduced simultaneously. Second, based on the real-time FE information, an FE-based interval type-2 (IT2) T-S fuzzy fault-tolerant control scheme is presented to achieve the compensation for the influence of the fault signal and the stabilization for the system. Different from the traditional methods, a mixed design scheme, which is based on the IT1 T-S fuzzy fault estimation observer method and the IT2 T-S fuzzy fault-tolerant controller method, is proposed in this paper. This strategy can not only reduce the computational burden, but also obtain a less conservative result. Finally, the effectiveness of the mixed design approach is illustrated by an example.

本文关注具有扰动和故障信号的离散时间非线性系统的基于观测器的容错控制问题。首先，将具有摄动的非线性项放入局部非线性部分，以便将具有摄动的非线性系统描述为区间类型1（IT1）TS模糊系统。然后，基于未知输入观测器技术，提出了IT1 TS模糊故障估计（FE）观测器方案，以获得实时的有限元信息，并将局部非线性部分与估计误差系统解耦，从而降低了设计复杂度和计算量。同时减轻了负担。其次，根据实时FE信息，提出了一种基于有限元区间2（IT2）TS的模糊容错控制方案，以实现对故障信号影响的补偿和系统的稳定。与传统方法不同，本文提出了一种基于IT1 TS模糊故障估计观测器方法和IT2 TS模糊容错控制器方法的混合设计方案。该策略不仅可以减轻计算量，而且保守程度较低。最后，通过一个例子说明了混合设计方法的有效性。该策略不仅可以减轻计算量，而且保守程度较低。最后，通过一个例子说明了混合设计方法的有效性。该策略不仅可以减轻计算量，而且保守程度较低。最后，通过一个例子说明了混合设计方法的有效性。