时变线性系统的有限时间H^∞控制问题

Finite-time H^∞ Control Problem of a Continuous Linear System

主要讨论连续线性时变系统的有限时间H∞控制问题.给出有限时间H∞控制问题的定义,然后利用线性微分矩阵不等式给出了H∞控制问题可解的充分性条件,最后以一个简单的例子来说明文中的结果.

In this paper, the Finite-time H^∞ control problem of a continuous linear system is discussed. First of all, the conception of Finite-time H^∞ control problem is defined, and then a sufficient condition of Finite-time H^∞ control involving linear differential matrix inequalities is obtained. Finally, a simple example is given to illustrate the result.