Abstract

This paper proposes a novel approach to suppressing bounded exogenous disturbances in a linear discrete-time control system by a static state- or output-feedback control law. The approach is based on reducing the original problem to a nonconvex matrix optimization problem with the gain matrix as one variable. The latter problem is solved by the gradient method; its convergence is theoretically justified for several important special cases. An example is provided to demonstrate the effectiveness of the iterative procedure proposed.

中文翻译：

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作为优化问题抑制离散时间控制系统中的外生干扰

摘要

本文提出了一种通过静态或输出反馈控制律来抑制线性离散时间控制系统中的有界外生干扰的新方法。该方法基于将原始问题简化为以增益矩阵作为一个变量的非凸矩阵优化问题。后一个问题通过梯度法解决；对于几个重要的特殊情况，它的收敛在理论上是合理的。提供了一个例子来证明所提出的迭代过程的有效性。