一类不确定Lurie时滞奇异系统的鲁棒H_∞控制

Robust H_∞ Control for A Class of Uncertain Lurie Singular Systems with Time-Delays

研究一类具有不确定性的 Lurie 时滞奇异系统的鲁棒稳定性分析和 H_∞状态反馈控制器设计方法．针对一类具有参数不确定性、未知时滞的奇异系统，得出了系统鲁棒稳定和鲁棒 H_∞状态反馈控制器存在的充分条件，它能使得不确定 Lurie 时滞奇异系统的解在所容许的范围内是正则的、无摄动的和稳定的；而且还得出了基于线性矩阵不等式(LMI)的鲁棒H_∞状态反馈控制器的设计方法，使得闭环系统具有鲁棒稳定性和H_∞性能．

Analysis of the robust stability and design of robust H∞ state feedback controllers for a class of Lurie singular systems with both time-delays and parameters uncertainties are studied. For the Lurie singular systems subject to parametric uncertainties and unknown time delays terms, sufficient conditions of robust stability are deduced such that the solution of the uncertain Lurie time-delay singular system is regular, impulse free, and stable for all admissible uncertainties. Furthermore, an LMI based robust H∞ state feedback controller is developed to guarantee both the robust stability and the H∞ performance for the resultant closed-loop system.