具有反馈增益不确定的Delta算子系统H_∞控制

H_∞ control for Delta operator systems with feedback gain uncertainty

基于线性矩阵不等式(LMI)方法,研究Delta算子系统状态反馈增益具有加性不确定时的H∞非脆弱控制器的设计问题.给出既能保证闭环Delta算子系统稳定,又有一定H∞性能的充分必要条件,利用相关引理把该充分必要条件转化为LMI形式.数值算例表明,所提出的设计方法是有效的.

Based on LMI, a design method of H∞ non-fragile controller for Delta operator systems which feedback gain is additive uncertain is introduced. A sufficient and necessary condition is given such that the resulted closed-loop Delta operator systems are stable and of certain H∞ performance. The certain lemma is used to translate the resulted sufficient and necessary condition into linear matrix inequality form. A numerical example shows the effectiveness of the design procedures.