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Adaptive Fuzzy Observer-Based Fault-Tolerant Control for Takagi-Sugeno Descriptor Nonlinear Systems with Time Delay

机译:具有时滞的Takagi-Sugeno广义非线性系统的自适应模糊观测器容错控制

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摘要

This paper investigates the problems of state/fault estimation and active fault-tolerant control (AFTC) design for time-delay descriptor fuzzy systems subject to external disturbances and actuator faults. Using Takagi-Sugeno fuzzy models, an adaptive fuzzy observer is proposed to achieve system state and actuator fault estimation simultaneously. According to Lyapunov functional method, design and analysis conditions of the resulting closed-loop delayed descriptor system are formulated in terms of linear matrices inequalities (LMIs). Observer and controller gains are computed by solving a set of LMIs in only one step and then used to both estimate the unmeasured states and actuator faults in AFTC context. Numerical examples are provided to show the merit and the conservativeness of the proposed approach in comparison with the existing methods by considering various types of actuator faults.
机译:本文研究了受外部干扰和执行器故障影响的时滞描述符模糊系统的状态/故障估计和主动容错控制(AFTC)设计问题。利用Takagi-Sugeno模糊模型,提出了一种自适应模糊观测器,可以同时实现系统状态和执行器故障估计。根据Lyapunov函数方法,根据线性矩阵不等式(LMI)制定了所得闭环延迟描述符系统的设计和分析条件。通过仅一步解决一组LMI即可计算出观测器和控制器的增益,然后将其用于估计AFTC环境中的未测量状态和执行器故障。通过数值算例,通过考虑各种类型的执行器故障,与现有方法相比,表明了该方法的优点和保守性。

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