Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5004709 | ISA Transactions | 2014 | 7 Pages |
â¢We study the Hâ performance and controller design for a class of 2-D discrete uncertain systems with delayed perturbations.â¢The design of controllers is via state feedback.â¢Based on the property of perturbations, we utilize the Lyapunov method and some other strategy to establish the results.â¢Two numerical examples are given to illustrate the effectiveness of the proposed results.
In this paper, we deal with the problem of robust Hâ 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 Hâ performance level is ensured for all delayed perturbations. By utilizing the Lyapunov method and some results, Hâ 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.