【摘要】 讨论了一类同时具有匹配不确定性和不匹配不确定性系统鲁棒H∞控制问题.对于所有容许的不确定性,基于矩阵不等式给出了二次稳定的条件并对系统的H∞性能进行了分析和设计;给出了系统的鲁棒H∞控制器,该控制器不仅满足系统二次稳定的条件,而且也满足H∞性能约束条件.数值算例说明了控制器设计方法的有效性和可行性.更多还原

【Abstract】 The robust H_∞ control problem of a class of uncertain systems with matched and unmatched uncertainties is discussed.Based on linear matrix inequality(LMI),the condition of quadratic stabilization is given and the H_∞ performance of the systems is analyzed and designed for all admissible uncertainties.The robust H_∞ controller which satisfies not only quadratic stabilization but also H_∞ performance is developed.A numerical example is given to demonstrate the effectiveness and feasibility of the controller.更多还原