H∞ Full Information Control of Discrete-time Systems with Multiple Input Delays

In this paper, we present an explicit solution to H∞full-information control for discrete-time systems with multiple input delays. Our solution is given in terms of one standard Riccati difference equation of the same order as the plant under investigation. Thus, it has much computational advantage over methods such as system augmentation. As special cases, solutions to the H∞control problem for systems with single input delay and the H∞preview control are obtained.