【摘要】 基于鲁棒二次稳定性理论,采用线性矩阵不等式方法,研究了具有时变状态时滞的不确定系统的鲁棒H∞控制问题,给出了对所有允许不确定性,被控对象满足H∞范数界γ约束下鲁棒二次稳定的一个充分条件.通过求解一个线性矩阵不等式,即可获得H∞状态反馈控制器.更多还原

【Abstract】 Based on the quadratic stability theory, the problem of robust H_∞ control for time-delay systems with time-varying uncertainties was dealt with by using the linear matrix inequality approach. A sufficient condition for the systems to be quadratically stable with an H_∞-norm bound γ was presented for all admissible uncertainties. By solving a linear matrix inequality, the H_∞ state feedback controller was obtained.更多还原