带有状态滞后和不确定性的连续广义系统的非脆弱H_∞控制

Non-fragile H_∞ control for continuous singular systems with state delay and uncertainties

针对带有状态滞后的连续广义系统,给出了其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变化的鲁棒H∞控制器的设计方法.数值计算结果表明该控制方法是有效的.

Sufficient condition of quadratic stability and satisfying some H ∞ property for continuous singular systems with state delay is given. By applying LMI technique, the design method of robust H∞ controller with controller gain perturbation for continuous singular systems with state delay and uncertainties is obtained. Finally, a numerical example is given to show the effectiveness of the proposed control approach.