研究了基于状态观测器的一类不确定时滞线性系统的非脆弱H∞ 鲁棒控制问题. 考虑被控对象、状态观测器以及控制器均存在不确定性,采用Lyapunov 稳定性理论和线性矩阵不等式(LMI)方法,给出了非脆弱状态观测器和非脆弱鲁棒控制器的存在条件与设计方法. 仿真实例表明了所提方法的有效性和可行性.

The problem of state observer-based non-fragile H∞ robust control for a class of uncertain time-delay linear systems is studied. The uncertainties exist not only in the plat, but also in the gains of the observer and the controller. Using the Lyapunov theory and linear matrix inequality (LMI) method, criteria for the existence and design method of the non-fragile observers and robust controllers are derived. The practical applicability of the proposed method is illus...