参数不确定广义系统的鲁棒H_∞控制

Robust H_∞ Control for Singular Systems with Uncertain Parameters

研究了一类具参数不确定性广义系统的鲁棒H∞ 控制问题 .基于线性矩阵不等式 (LMI)方法 ,给出了控制输入为零时不确定广义系统具H∞ 范数界的稳定性分析 ;在此基础上 ,建立了鲁棒H∞ 状态反馈控制律的设计方法 .在一定条件下 ,该方法使不确定广义系统对所有容许的不确定参数 ,相应的闭环系统是正则、无脉冲且稳定的 ,并具H∞ 范数界 .

This paper focuses on the problem of robust H ∞ control for a class of singular systems with parameters uncertainty.Based on linear matrix inequality(LMI),the robust stability analyses for uncertain singular systems with an H ∞ norm bound are given when the control imput is zero.Some design methods of robust H ∞ state feedback controller are presented,in which the singular closed-loop system is regular,impulse-free and stable with an H ∞ norm bound for all admissible uncertain parameters under some conditions.An illustrative example is given to demonstrate the effectiveness of the design method proposed in this paper.