研究了时滞不确广义系统的时滞相关非脆弱H∞保成本控制器的设计问题。利用Lyapunov的稳定性理论和最近建立的积分不等式方法,得到了时滞不确定广义系统在非脆弱控制器作用下不仅内部渐近稳定,而且具有给定的H∞扰动抑制水平的时滞相关条件,以及相应的成本函数上界。假定其中的不确定项是范数有界的,但不需要满足严格的匹配条件.针对控制器增益具有加法式摄动和乘法式摄动两种情形,分别给出了非脆弱H∞保成本控制器的设计方法。这一方法不需要参数调节,利用Matlab的LMI工具箱求解方便。最后,数值仿真实例说明了所给方法的有效性。 The problem of the design of delay-dependent non-fragile H∞ guaranteed cost controller for uncertain singular systems with time-delay is studied. Based on the stability theory of Lyapunov and the newly established integral inequality method, the delay-dependent conditions for the uncertain system with time-delay uncertainties to be not only internally asymptotically stable but also given the H∞ disturbance rejection level under the non-fragile controller are obtained. , And the corresponding cost function upper bound. It is assumed that the uncertain term is norm-bounded, but does not need to meet the strict matching condition. For two cases of controller gain with additive perturbation and multiplicative perturbation, the non-fragile H∞ guaranteed cost Controller design method. This method does not require parameter adjustment, the use of Matlab’s LMI toolbox to facilitate the solution. Finally, the numerical simulation shows the effectiveness of the proposed method.