Share This Article:

Robust Optimal H Control for Uncertain 2-D Discrete State-Delayed Systems Described by the General Model

HTML XML Download Download as PDF (Size:1450KB) PP. 78-114
DOI: 10.4236/jsip.2016.72011    2,224 Downloads   2,712 Views

ABSTRACT

This paper investigates the problem of robust optimal H control for uncertain two-dimensional (2-D) discrete state-delayed systems described by the general model (GM) with norm-bounded uncertainties. A sufficient condition for the existence of g-suboptimal robust H state feedback controllers is established, based on linear matrix inequality (LMI) approach. Moreover, a convex optimization problem is developed to design a robust optimal state feedback controller which minimizes the H noise attenuation level of the resulting closed-loop system. Finally, two illustrative examples are given to demonstrate the effectiveness of the proposed method.

Cite this paper

Singh, A. and Dhawan, A. (2016) Robust Optimal H Control for Uncertain 2-D Discrete State-Delayed Systems Described by the General Model. Journal of Signal and Information Processing, 7, 78-114. doi: 10.4236/jsip.2016.72011.

Copyright © 2020 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.