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不确定广义T-S模糊系统的稳定性分析与容错控制
Stability Analysis and Fault-Tolerant Control of the Uncertain Descriptor T-S Fuzzy Systems

DOI: 10.12677/PM.2021.114059, PP. 461-471

Keywords: 广义T-S模糊系统，不确定时滞系统，鲁棒H ∞ 控制，线性矩阵不等式
Descriptor T-S Fuzzy Systems, Uncertain Time-Delay Systems, Robust H ∞ Control, Linear Matrix Inequalities

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Abstract:

本文研究了具有不确定参数的广义T-S模糊系统的稳定性问题，以及存在外界扰动的鲁棒控制问题。通过引入故障作为一种辅助状态向量，采用H∞技术进行分析，尽量减少扰动对状态估计误差的影响，运用LMI方法，设计状态反馈控制器，求得增益矩阵，使系统即使存在故障或干扰的情况下仍能稳定的运行，并具有很好的鲁棒性。本文给出了使系统稳定的充分条件，最后，通过MATLAB进行仿真算例，验证所得结果的有效性。
This paper studies the stability of generalized T-S fuzzy systems with uncertain parameters and the robust control problems with external disturbances. By introducing faults as an auxiliary state vector, H∞ technology is used for analysis to minimize the impact of disturbances on state esti-mation errors. Using the LMI method, the state feedback controller is designed to obtain the gain matrix, so that even if the system is faulty or disturbed under the circumstances, it can still run stably and has good robustness. This paper gives the sufficient conditions to make the system stable. Finally, the validity of the results is verified by a MATLAB simulation example.

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