研究了含有多面体参数摄动Delta算子系统的参数依赖H∞控制问题.基于Delta算子系统有界实引理,提出了扩展参数依赖H∞性能准则.利用该准则,以参数化的线性矩阵不等式形式给出了参数依赖H∞控制器存在的充分条件,并通过求解优化问题设计控制器.研究结果表明该方法保守性较低,且物理概念清晰.数值示例验证了所提方法的有效性. The parameter dependent H∞ control problem involving the Delta operator with polygon parameter perturbation is studied. Based on the Delta operator theory, a criterion of extended parameter dependence H∞ is proposed. Using this criterion, a parametric linear matrix The sufficient conditions for the existence of parameter-dependent H∞controller are given in the form of inequality, and the controller is designed by solving the optimization problem.The results show that the proposed method is less conservative and has a clear physical concept.The numerical examples demonstrate the effectiveness of the proposed method .