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Robust H-infinity control for T-S fuzzy systems subject to missing measurements with uncertain missing probabilities

机译：T-S模糊系统的鲁棒H无限控制，具有丢失概率不确定的丢失度量

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摘要

In this paper, the robust output feedback H-infinity control problem is investigated for a class of uncertain Takagi-Sugeno (T-S) fuzzy systems with missing measurements. In the underlying systems, both system parameters and missing probabilities are assumed to be effected by norm-bounded uncertainties which may reflect the reality more closely. The main purpose of this paper is to design a robust output feedback fuzzy controller such that the closed-loop system is asymptotically mean-square stable, and the disturbance rejection attenuation is constrained to a given level by means of the H-infinity performance index. Sufficient conditions are established via intensive analysis for the existence of the output feedback fuzzy controller, and the corresponding solvability conditions for the desired controller gains are derived. An illustrative example is provided to show the effectiveness of the developed design method. (C) 2016 Elsevier B.V. All rights reserved.
机译：本文针对一类不确定的带有缺失度量的Takagi-Sugeno（T-S）模糊系统研究了鲁棒的输出反馈H-∞控制问题。在基础系统中，系统参数和遗漏概率均受制于范数界的不确定性，这些不确定性可能更紧密地反映了现实情况。本文的主要目的是设计一种鲁棒的输出反馈模糊控制器，以使闭环系统渐近均方稳定，并通过H-无穷大性能指标将干扰抑制衰减限制在给定水平。通过深入分析，为输出反馈模糊控制器的存在建立了充分条件，并得出了所需控制器增益的相应可解条件。提供了一个说明性示例，以显示开发的设计方法的有效性。 （C）2016 Elsevier B.V.保留所有权利。

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