摘要
研究了具有范数有界参数不确定线性系统的输出反馈鲁棒Ｈ∞控制问题，给出了该系统带Ｈ∞指标γ鲁棒稳定的充要条件，以及该系统静态输出反馈带Ｈ∞指标γ鲁棒镇定的充要条件，并且指出，系统的动态输出反馈鲁棒Ｈ∞镇定问题可等价为广义系统的静态输出反馈鲁棒Ｈ∞镇定问题．所给出的方法，其设计过程只需解一个特殊的Ｒｉｃｃａｔｉ方程．
This paper addresses the robust H ∞ control problem of uncertain linear systems with time varying norm bounded uncertainty in both the state and input matrices using output feedback. Necessary and sufficient conditions for robust stability with an H ∞ norm bound γ, and related necessary and sufficient conditions for robust stability with an H ∞ norm bound γ using static output feedback are derived. It is also shown that the stabilizing H ∞ controller design of a given linear uncertain system via dynamic output feedback is equivalent to that of an augmented linear uncertain system via static output feedback. For the method in this paper, only a special Riccati equation has to be solved and a numerical example is given to demonstrate the effectiveness of the proposed method.
出处
《信息与控制》
CSCD
北大核心
1997年第3期174-179,185,共7页
Information and Control
关键词
不确定线性系统
输出反馈
鲁棒H∞控制
linear uncertain system, output feedback, robust H ∞ control, Riccati equation
