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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:216

Article

Xu, Huiling^1,2  Xu, Shengyuan²  Lam, James³ 

[1] Southeast Univ, Res Inst Automat, Nanjing 210096, Peoples R China

[2] Nanjing Univ Sci & Technol, Dept Automat, Nanjing 210094, Peoples R China

[3] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China

关键词: discrete systems;    linear matrix inequality;    positive real control;    delayed systems;    2-D systems;   

DOI  :  10.1016/j.cam.2007.04.014

来源: Elsevier

【 摘 要 】

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 oil 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. (C) 2007 Elsevier B.V. All rights reserved.

【 授权许可】

Free