Positive real control for 2-D discrete delayed systems via output feedback controllers

✍ Scribed by Huiling Xu; Shengyuan Xu; James Lam

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 171 KB
• Volume: 216
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/j.cam.2007.04.014

✦ Synopsis

This paper considers the problem of positive real control for two-dimensional (2-D) discrete delayed systems in the Fornasini-Marchesini second local state-space model. Attention is focused on the design of dynamic output feedback controllers, which guarantee that the closed-loop system is asymptotically stable and the closed-loop transfer function is extended strictly positive real. We first present a sufficient condition for extended strictly positive realness of 2-D discrete delayed systems. Based on this, a sufficient condition for the solvability of the positive real control problem is obtained in terms of a linear matrix inequality (LMI). When the LMI is feasible, an explicit parametrization of a desired output feedback controller is presented. Finally, we provide a numerical example to demonstrate the application of the proposed method.