不确定奇异时滞系统的鲁棒控制

Robust Control of Uncertain Singular Time-delay Systems

在参数不确定性F范数有界的情况下,给出了具有此类不确定性奇异时滞系统的广义二次稳定和广义二次可稳的充分必要条件.基于这些条件,构造出严格的线性矩阵不等式(LMI),然后利用矩阵的Schur补性质论证了在线性矩阵不等式的条件下,所得闭环系统是渐近稳定的,同时给出了具体的状态反馈控制律.

The necessary and sufficient conditions for uncertain singular time - delay systems to be generalized quadratic stability and generalized quadratic stabilization are given in the case that parametric uncertainty F is norm bounded. With these conditions, some strict linear matrix inequalities （LMI） are developed based on these linear matrix inequalities and the matrix Schur complement in this paper. It is proved that uncertain closed - loop system is stable asymptotically. Also the state feedback controller is formulated .