title: Robust H(∞) control for a class of 2-D discrete delayed systems.
abstract: In this paper, we deal with the problem of robust H∞ control for a class of 2-D discrete uncertain systems with delayed perturbations described by the Roesser state-space model (RM). The problem to be addressed is the design of robust controllers via state feedback such that the stability of the resulting closed-loop system is guaranteed and a prescribed H∞ performance level is ensured for all delayed perturbations. By utilizing the Lyapunov method and some results, H∞ controllers are given. The results are delay-dependent and can be expressed in terms of linear matrix inequalities (LMIs). Finally, some numerical examples are given to illustrate the effectiveness of the proposed results.
authors.affiliation: School of Electronics and Information, Jiangsu University of Science and Technology, Zhenjiang 212003, PR China. Electronic address: 58443614@qq.com.
authors.forename: Shuxia
authors.initials: S
authors.lastname: Ye
authors.affiliation: School of Electronics and Information, Jiangsu University of Science and Technology, Zhenjiang 212003, PR China.
authors.forename: Jianzhen
authors.initials: J
authors.lastname: Li
authors.affiliation: School of Automation, Nanjing University of Science and Technology, Nanjing 210094, PR China.
authors.forename: Juan
authors.initials: J
authors.lastname: Yao
keywords: 2-D systems; Delayed perturbations; Robust  control