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Local stabilization for discrete-time T-S fuzzy time-delay systems with sensor fault

机译：传感器故障的离散时间TS模糊时滞系统的局部稳定

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摘要

This paper focuses on a local stabilization problem for discrete-time T-S fuzzy time-delay systems with sensor fault and external disturbances. The main purpose is to synthesize a controller such that the state can be restricted into a pre-specified region even when the system is subject to sensor fault and external disturbance. First, by restricting the reachable set into an ellipsoid set which is contained in the objective domain, the system state is restricted into the objective area such that the local stabilization can be achieved. Second, the differential mean value theorem is used to determine the bound of the deviation between the membership function of the system and that of the controller. Then, the information of the deviation is employed for designing the controller. Different from some existing methods, in the proposed method, the influence of the sensor fault on the membership function of the controller has been fully considered and the information of aforementioned deviation is made full use of such that a less conservative stability criterion can be derived. Meanwhile, due to the use of the differential mean value theorem, the deviation bound can be calculated. Then, the requirement, where the deviation bound of is assumed to be previously known, is removed. Finally, an example is presented to verify the effectiveness of the proposed method. (C) 2018 Elsevier B.V. All rights reserved.
机译：本文针对具有传感器故障和外部干扰的离散时间T-S模糊时滞系统的局部稳定问题。主要目的是合成控制器，以便即使系统遭受传感器故障和外部干扰，也可以将状态限制在预定区域内。首先，通过将可到达集合限制为包含在目标域中的椭球集合，将系统状态限制在目标区域中，从而可以实现局部稳定。其次，微分平均值定理用于确定系统的隶属度函数与控制器的隶属度函数之间的偏差范围。然后，将偏差信息用于控制器的设计。与某些现有方法不同，在所提出的方法中，已经充分考虑了传感器故障对控制器的隶属度函数的影响，并且充分利用了上述偏差的信息，从而可以得出较不保守的稳定性标准。同时，由于使用了微分平均值定理，可以计算出偏差范围。然后，删除要求的偏差界限被预先已知的要求。最后，通过一个例子验证了所提方法的有效性。 （C）2018 Elsevier B.V.保留所有权利。

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