Optimal Memoryless Regulator of Systems with
Optimal Memoryless Regulator of Systems with
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系统的最佳无记忆调节器
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发表时间：
2004
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将时滞随时间变化的线性系统视为被控对象。一种只包含所有变量的方法是可行的，其结果与求解矩阵解是一致的。证明了闭环系统是非一致稳定的，并且它是含有时变权的最小化二次代价函数的最优控制器。所要求的矩阵不等式的解可为cdc：illatetl，其解为线性矩阵，可用数值方法求解。文中还给出了一个算例，说明了设计过程。
A linear system with tiIIic-delay which varies with time is considerrxl as a plant. A fr:ctll>ack stnictiire which iiscs only the inst;mtaneoiis intcrnd varia1)les is asanruecl, aut1 the fecclhck gain is cleternlined with a solution of SOUIC matrix incqdities. It is showu that the rcsiilting closcd loop system is asymytotically stable, and morcovcr, it is the optimal rcgillakor minimizing a quadratic cost fnnctiond, which contains time-varying weights. The reqiurcd soliitiou of the matrix inequialitics can be cdc:illatetl with a solution of sowt: linear matrix incqiidties, which can be solved numcricitlly. A nuunericid example is shown to demonstrate the design procedure.