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Optimization of Takagi-Sugeno Observers with Application to Fault Estimation

机译：Takagi-Sugeno观测器的优化及其在故障估计中的应用

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摘要

An optimization scheme for the feedback gain synthesis of processes modeled as convex polytopic system in the Takagi-Sugeno framework is presented. The structure of the Takagi-Sugeno description is exploited, such that after the common initial synthesis based on linear matrix inequalities an optimization procedure that is numerically less extensive is proposed. It partially employs the solution from the initial design to ensure stability and respects the imposed performance from the initial design process. The resulting feedback gains from the optimization may differ from the initially derived gains, and are capable of increasing the performance in the presented case studies. The optimization procedure is applied to the synthesis of a Takagi-Sugeno proportional multi-integral observer for fault reconstruction of an inverted pendulum and a wind turbine subject to noise.
机译：提出了在Takagi-Sugeno框架中建模为凸多面体系统的过程的反馈增益综合的优化方案。利用了Takagi-Sugeno描述的结构，这样，在基于线性矩阵不等式的常见初始合成之后，提出了一种数值上不那么广泛的优化程序。它部分采用了最初设计中的解决方案，以确保稳定性并尊重最初设计过程中的强制性能。从优化中得到的反馈增益可能与最初获得的增益不同，并且能够提高本案例研究的性能。该优化程序适用于Takagi-Sugeno比例多积分观测器的综合，用于倒立摆和受噪声影响的风力发电机的故障重建。

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