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

Citations of this article
Mendeley users who have this article in their library.


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. © 2007 Elsevier B.V. All rights reserved.




Xu, H., Xu, S., & Lam, J. (2008). Positive real control for 2-D discrete delayed systems via output feedback controllers. Journal of Computational and Applied Mathematics, 216(1), 87–97. https://doi.org/10.1016/j.cam.2007.04.014

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free