一类不确定性时滞关联大系统的分散鲁棒稳定控制器设计

对一类满足匹配条件的不确定性关联大系统,设计了基于一组线性矩阵不等式（LMI）有解的系统状态反馈镇定的充分条件。本文采用了实对称矩阵集合的最小上界定理,并对设计参数进行优化处理,从而使得所设计的控制器具有较小反馈增益。同时系统的不确定性采用区间矩阵表示,因此该设计方法具有很好的普遍性。最后给出的仿真实例说明了该方法的有效性。

Decentralized Robust Controller for a Class of Uncertain Time-Varying Interconnected Large-Scale Systems

For a class of interconnected uncertain systems assumed to satisfy the matching conditions, a sufficient condition for decentralized feedback control laws is proposed. This condition is based on the solvability problem of linear matrix inequalities (LMI). The minimum upper bound theorem of the real symmetric matrix set makes the designed controller have small feedback gain. For applying the interval matrix to denote the uncertainties of the system, the designed control method has the universality to control the uncertain time-varying interconnected large-scale systems. Finally, an example is given to validate the availability of the method.