状态与输出均有滞后的不确定广义系统的非脆弱H_∞控制

NON-FRAGILE H_∞CONTROL FOR UNCERTAIN SINGULAR SYSTEMS WITH DELAY BOTH IN STATE EQUATION AND OUTPUT EQUATION

针对带有状态滞后的连续广义系统,给出了其广义二次稳定且满足一定H_∞性能的充分条件,并利用线性矩阵不等式技术,得到了带有状态滞后和不确定性的连续广义系统的含有控制器增益扰动的鲁棒H_∞控制器的设计方法.最后,所举数值例子说明了该方法的应用.

A sufficient condition ensuring both generalized quadratic stability and H∞ performance level for continuous singular systems with state delays is given. Based on this, a LMI method is used to design robust controllers which is subjected to controller gain perturbation. Finally, a numerical example shows the efficiency of the proposed approach.