H_∞ Control for 2-D Discrete State Delayed Systems in the Second FM Model

• 出 处: 自动化学报
• 发表日期: 2008年07期
• 关键词: concerned illustrate inequality atten convex attenuation iterative repetitive st

This paper is concerned with the problem of H_∞control for two-dimensional (2-D) discrete state delay systems described by the second Fornasini and Marchesini (FM) state- space model.A sufficient condition to have an H_∞noise atten- uation for this 2-D system is given in terms of a certain linear matrix inequality (LMI).The optimal H_∞controller is obtained by solving a convex optimization problem.Finally,a simulation example is given to illustrate the effectiveness of the proposed result.

This paper is concerned with the problem of H_∞control for two-dimensional (2-D) discrete state delay systems described by the second Fornasini and Marchesini (FM) state-space model. A sufficient condition to have an H_∞noise atten- uation for this 2-D system is given in terms of a certain linear matrix inequality (LMI). The optimal H_∞controller is obtained by solving a convex optimization problem. Finally, a simulation example is given to illustrate the effectiveness of the proposed result .