时滞系统控制问题块脉冲算子解的收敛性

THE CONVERGENCE OF BLOCK PULSE OPERATOR SOLUTION TO TIME LAG SYSTEM CONTROL PROBLEM

本文给出了一种基于块脉冲算子的离散逼近格式.应用这种逼近格式,可以获得时滞非线性最优控制问题的块脉冲级数解.本文证明了这种块脉冲级数解将收敛于这类问题的精确解,并具有一阶收敛速度.

In this paper, a discrete approximation scheme based on block pulse operator is given. Using the approximation scheme, we can obtain a block pulse series solution (BPSS) of nonlinear optimal control problem with time-lag. The convergence of the BPSS to the exact solu tion of the problem is proved and first order convergence rate is established.