Static Output Feedback Control of Discrete-Time Linear Systems: Background Results and New LMI Conditions

H. Gritli, A. Zemouche, S. Belghith
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引用次数: 2

Abstract

In this paper, attention is focused on the design of a stabilizing static output feedback (SOF) gain matrix for linear discrete-time systems. Our design methodology of the SOF controller is based on the linear matrix inequality (LMI) approach. Unlike the state feedback control case, the SOF formulation usually leads to non-convex stability conditions, which are expressed in terms of Bilinear Matrix Inequalities (BMIs) that are not numerically traceable. To circumvent the computation problem of the SOF gain, several techniques have been developed to transform the non-convex conditions into convex ones. In this paper, some background results related to this convexity problem are firstly presented. Furthermore, a new approach is employed in this work to transform the BMI constraints into LMIs by introducing a new lemma. Finally, a simulation example is given to testify the validity of the developed LMI conditions.
离散线性系统的静态输出反馈控制:背景结果和新的LMI条件
本文主要研究线性离散系统的稳定静态输出反馈增益矩阵的设计。我们的sofc控制器的设计方法是基于线性矩阵不等式(LMI)方法。与状态反馈控制不同的是,soff公式通常会导致非凸稳定条件,这些条件用双线性矩阵不等式(bmi)表示,不能在数值上跟踪。为了解决SOF增益的计算问题,研究了几种将非凸条件转化为凸条件的方法。本文首先给出了与该凸性问题相关的一些背景结果。此外,本文采用了一种新的方法,通过引入新的引理将BMI约束转化为lmi。最后,通过仿真算例验证了所提出的LMI条件的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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