A new solution for the discrete-time H/sub infinity / optimal control problem is given. By using the Rosenbrock system matrix representation, it is shown that the assumption of not having poles at the origin, which is required in previous derivations, is not necessary. The generator of all solutions has a simple and direct expression in terms of the data of the problem. The parametrization provides further insight into the one-block problem by linking the authors' pure algebraic approach with the one-step operator theoretic procedure. It is also shown that a particular solution, usually called the central one, always has a state space representation (i.e., it has no polynomial part).
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机译：给出了用于离散时间H / SUB Infinity /最佳控制问题的新解决方案。 通过使用RosenBrock系统矩阵表示，显示不需要在以前推导的原点处具有磁极的假设，这不是必需的。 所有解决方案的发电机都在问题的数据方面具有简单而直接的表达。 参数化通过将作者的纯代数方法与单步操作员理论程序联系起来，可以进一步了解一个块问题。 还示出了一种特定的解决方案，通常称为中心，总是具有状态空间表示（即，它没有多项式部分）。
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