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Robust reliability-based optimal design of robust H-infinity controller for time-delay systems with parametric uncertainty
基于鲁棒可靠性的不确定时滞系统最优H∞控制器设计

Keywords: robust control,uncertain system,delay,robust reliability,linear matrix inequality (LMI)
鲁棒控制
,不确定系统,时滞,鲁棒可靠性,线性矩阵不等式

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Abstract:

A new robust reliability method is presented for the robust H-infinity control of linear time-delay systems with uncertainties represented by interval variables.Robust reliability based approaches for optimal controller design of time-delay systems with uncertain parameters are proposed.The optimal robust controller design is carried out by optimization formulations,which is within the framework of linear matrix inequality (LMI) approach and is convenient to be implemented.The optimal robust controller satisfying required robust reliability and control performance is then obtained, and the maximum robustness bounds of uncertain parameters are also provided.Furthermore,the control performance,the control cost and the robust reliability are taken into account reasonably in controller design.Finally,a numerical example is given to show the effectiveness and feasibility of the presented method.

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