不确定性时滞大系统的分散鲁棒跟踪控制器设计(英文)

The Design of Decentralized Robust Tracking Controllers for Large-Scale Uncertain Systems with Time-Delay

研究不确定性关联时滞大系统的分散鲁棒输出跟踪控制问题 .系统中不确定项具有数值界 ,可不满足匹配条件 .基于不确定项的表达形式 ,给出了存在分散鲁棒跟踪控制器的线性矩阵不等式 (LMI)条件 .在此基础上 ,通过建立求解受LMIs约束的凸优化问题 ,提出了具有较小反馈增益LMI设计方法 ,使受控系统渐近跟踪给定的参考输入 .LMI方法求解简单 。

This paper is to study the decentralized robust tracking control problem for large scale uncertain systems with time delay. The uncertainty is value bounded and can not satisfy its matching conditions. A sufficient condition for the existence of decentralized robust tracking controller is derived. This condition is expressed as the solvability problem of linear matrix inequalities (LMIs). Based on that, a convex optimization problem with LMI constraints is formulated to design a decentralized state feedback control with smaller gain parameters which enables the controlled system to approach the reference input asymptotically.