时滞不确定性系统的鲁棒镇定——LMI方法

Robust Stabilization of Uncertain Delay Systems——LMI Approach

研究时滞不确定性系统的鲁棒镇定问题。镇系统具有多重状态时滞和多重控制时滞,其不确定性满足范数有界条件。利用线性矩阵不等式方法,得到了这类系统可状态反馈镇定的充分条件。通过解一个线性矩阵不等式,即可得到所需的控制器。最后用一例题说明了本文方法的有效性和较黎卡提方程方法的优越性。

Robust stabilization problem for a class of uncertain dynamic systems is studied. The class of systems under consideration is described by a continuous - time uncertain model with multiple time - varying delays in both states and controls. The uncertainty is unknown but norm - bounded. Using LMI approach, a sufficient condition is obtained. It is shown that the construction of the memoryless stabilizing controller involves solving a certain LMI. Finally, an example is presented to illustrate the new method and the advantage over Riccati equation method.