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应用线性矩阵不等式 (LMI)方法研究不确定性关联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 ,给出了存在分散控制鲁棒跟踪控制器的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 ,最后用示例说明了该方法的应用 .
The problem of decentralized robust output tracking control for uncertain interconnected large-scale systems is studied by using the linear matrix inequality (LMI) method. The uncertainties in the system have numerical bounds and may not satisfy the matching conditions. Based on the expression of uncertainties, The decentralized LMI condition of the robust tracking controller is proposed.Based on this, a LMI design method with small feedback gain is proposed to solve the convex optimization problem constrained by LMIs, which makes the controlled system asymptotically track the given reference input The LMI method is simple to solve, and finally illustrates the application of this method with examples.