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摘要: 主要研究了控制输入和外部输入中带有时变时滞的离散系统的有限时间H无穷控制问题. 首先通过定义一个取值为0或1的二元变量将具有时变时滞的单通道离散系统转化为多通道定时滞离散系统, 进一步利用该系统H无穷控制与相应倒向随机系统平滑估计之间的对偶关系解决该问题,通过与原系统维数相同的Riccati差分方程给出了该问题的解,并且给出了因果与严格因果H控制器存在的充分必要条件.
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关键词:
- 离散系统 /
- 时变时滞 /
- H无穷控制 /
- Riccati差分方程
Abstract: This paper is concerned with the finite horizon H∞ control for discrete-time systems with time-varying delay in control and exogenous input channels. By defining a binary variable, the problem is first transformed into the one with multiple input channels, each of which has a constant delay. Then, the problem is solved by using the duality principle between the H∞ control problem and smoothing estimation problem for an associated system without delays. The solution is given in terms of one standard Riccati difference equation (RDE) of the same order as the original system.
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