广义不确定线性系统的输出反馈鲁棒H_∞控制

Robust H_∞ control for uncertain linear descriptor systems using output feedback

研究一类具有范数有界参数不确定性广义线性系统的鲁棒Ｈ∞控制问题。利用矩阵不等式方法，导出广义 不确定线性系统正则、稳定且无脉冲模，同时传递函数满足给定的Ｈ∞范数界的等价条件。在此基础上，证 明了广义不确定线性系统的输出反馈鲁棒Ｈ∞控制问题等价于适当广义确定系统的输出反馈Ｈ∞控制问 题。

This paper considers the robust H. control problem of uncertain linear descriptor systems with timevarying norm-bounded parameter uncertainty via output feedback. Using the matrix inequality approach, we obtain an equivalent condition for the uncertain linear descriptor systems to be regular, stable and impulse-free as well as the transfer function satisfying a prescribed H∞-norm bound. Based on this, it is shown that the robust H∞ control problem of a given linear uncertain descriptor system via output feedback is equivalent to the H∞ con trol problem of a suitable descriptor linear system via the same output feedback.