This paper presents new synthesis conditions for gain-scheduling static output-feedback control of discrete-time linear systems with time-varying parameters. A feature of the proposed condition, unlike most approaches in the literature, is that no structural constraints on the output matrix are imposed, that is, the proposed approach is able to handle variation in the dynamics, input, and output matrices without resorting to similarity transformations or iterative procedures. The stabilization conditions are extended to cope with the ${\mathcal{H}}_{\infty }$ control problem. The proposed conditions are formulated in the form of linear matrix inequalities. Numerical experiments illustrate the potential of the proposed techniques.

本文提出了具有时变参数的离散时间线性系统增益调度静态输出反馈控制的新综合条件。与文献中的大多数方法不同，提出的条件的一个特征是对输出矩阵不施加任何结构性约束，也就是说，提出的方法能够处理动态矩阵，输入矩阵和输出矩阵的变化而无需求助于相似性转换或迭代过程。扩展了稳定条件以应对${\mathcal{H}}_{\infty }$控制问题。提出的条件以线性矩阵不等式的形式表示。数值实验说明了所提出技术的潜力。