具有离散时滞和分布时滞的不确定中立型跳跃系统的鲁棒H2/H∞控制

研究了一类含有离散时滞和分布时滞的不确定中立型跳跃系统的H2/H∞控制问题,目的是设计一个状态反馈控制器使系统在满足H∞指标的前提下,H2性能最小。采用线性矩阵不等式技术(LMI)推导出H2/H∞控制器存在的充分条件,并将控制器的设计问题转化为具有LMI约束的凸优化问题。数值算例说明了该文方法的有效性。

Robust H2/H∞ Control of Uncertain Neutral Jumping Systems with Discrete and Distributed delays

The problem of robust H2/H∞ control is investigated for a class of uncertain neutral jumping systems with discrete and distributed delays. It is desired to design a linear state feedback controller such that the H2 performance measure is minimized while guaranteeing a prescribed H∞ norm bound on the controlled system. A sufficient condition for the existence of robust H2/H∞ control law is given in terms of a group of linear matrix inequalities ( LMIs). Furthermore, the controller design problem is converted into a convex optimization problem subjected to LMI constraints. Finally, a numerical example is given to illustrate the feasibility of the proposed technique.