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研究具有小时滞的线性大系统的次优控制问题 .首先将子系统状态向量增量和子系统耦合项视为大系统附加扰动输入 .再利用无滞后转换法的思想结合微分方程的逐次逼近法 ,将一个既含有时滞项又含有超前项的高阶两点边值问题分解为若干个解耦的、既不含时滞项又不含超前项的低阶两点边值问题族 .最后用最优控制的有限次逼近结果作为大系统的次优控制律 .对小时滞线性大系统而言 ,利用此方法可使计算次优控制律的迭代次数大大减少 ,因此该方法尤其适合于具有小时滞的线性大系统的次优控制器设计
The problem of suboptimal control for linear large-scale systems with small delay is studied. Firstly, the sub-system state vector increment and the sub-system coupling term are regarded as the input of additional system perturbation. By using the method of delay-free conversion and the successive approximation of differential equations, A high-order two-point boundary value problem with both delayed and advanced terms is decomposed into several decoupled families of low-order two-point boundary value problems with neither delay nor precedent. Finally, The finite sub-optimal result of the optimal control is used as the suboptimal control law of the large-scale system. For large linear systems with small time-delay, this method can greatly reduce the number of iterations for calculating the suboptimal control law. Therefore, Suboptimal Controller Design for Delayed Linear Large System