基于鲁棒可靠性的不确定时滞系统最优H∞控制器设计

用区间变量描述控制系统参数的不确定性,提出了不确定时滞系统鲁棒H_∞控制的鲁棒可靠性方法,基于鲁棒可靠性的不确定时滞系统最优状态反馈H_∞控制器设计方法,将系统的最优控制器设计归结为基于线性矩阵不等式(LMI)的优化问题．所设计的控制器可以在满足对所有不确定性鲁棒可靠的前提条件下,具有最优的H_∞鲁棒性能,并能在控制系统的设计中综合考虑控制性能、控制代价和鲁棒可靠性．数值算例说明了所提方法的有效性和可行性．

Robust reliability-based optimal design of robust H-infinity controller for time-delay systems with parametric uncertainty

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.