基于观测器的一类不确定时滞采样系统的非脆弱H∞控制

摘要

为一类不确定时滞采样系统提出了基于观测器的非脆弱H∞控制问题.针对不确定性均存在于被控对象、控制器和观测器的情形,运用Lyapunov稳定性理论和线性矩阵不等式方法,得到了非脆弱H∞控制器和观测器存在的充分条件与设计方法.最后,数值仿真结果表明了所提算法的有效性.%The problem of non-fragile H∞ control for a class of uncertain sampled-data systems with time-delay is considered via observer-based state feedback control. According to the case that there exist uncertainties not only in the plant but also in controller gains and observer gains, and the Lyapunov function theory and linear matrix inequality (LMI) approach are applied. A sufficient condition on the existence and designing method of non-fragile observer and H∞ controller are derived. Finally, a numerical example is illustrated to show the effectiveness of the proposed results.