摘要
在状态反馈Ｈ∞控制器存在情况下，考虑基于线性矩阵不等式（ＬＭＩ）可行解的Ｈ∞控制器族的构造问题。状态反馈Ｈ∞控制问题的可解性等价于一个ＬＭＩ的可解性，基于该ＬＭＩ的可行解可给出所有可能的Ｈ∞状态反馈控制器，并且对这一ＬＭＩ可解条件的任意可行解，均可给出一个Ｈ∞控制器族。这一控制器族中含有丰富的自由参数，可用于满足其他设计要求。
With existence of H_∞ controllers via state feedback, the problem to construct set of those controllers is studied based on feasible solution to linear matrix inequality (LMI). The solvability of H ∞ control via state feedback is equivalent to that of an LMI, and all possible H ∞ controllers via state feedback then can be constructed based on feasible solutions to the LMI. Moreover, there exists a set of controllers for any feasible solution to the LMI. The set of controllers has much freedom, which can be applied to satisfy others design objections. A simple example shows the practicability of this approach.
出处
《控制与决策》
EI
CSCD
北大核心
2000年第1期89-91,94,共4页
Control and Decision
基金
国家自然科学基金项目!(69574013)
山西省青年基金项目!(19991018)
